Positive definite matrices collected by Nick Gould, Yifan Hu, & Jennifer Scott. some in unassembled finite-element form (and some in both forms). The GHS_indef and GHS_psdef collection includes matrices from the Matrix Market (math.nist.gov/MatrixMarket), Rutherford-Boeing collection (Duff, Grimes, and Lewis), the Parasol project (see below), Kumfert and Pothen, CUTE/CUTEr optimization test set, the UF sparse matrix collection (those are excluded here), Andy Wathen, Mario Arioli, Christian Damhaug, Alison Ramage, Anshul Gupta (Gupta's matrices are in the UF collection under the Gupta directory), Olaf Schenk (matrices from Olaf Schenk are located here, as well as in the existing Schenk_* directories), Miroslav Tuma, Maros and Meszaros, and the Dept. of Mathematical Modelling in DIAMO (Czech Republic). See ftp://ftp.numerical.rl.ac.uk/pub/matrices/symmetric/ for the GHS collection. NOTE: some of the *.rse and *.pse finite-element matrices contain unsorted indices. NOTE: matrices can have upper-case or lower case matrix-type fields (rsa or RSA, for example). -------------------------------------------------------------------------------- ==> audi.readme <== -------------------------------------------------------------------------------- Source: www.parallab.uib.no/parasol/data.html (matrix AUDI) Automotive crankshaft model with over 900,000 TETRA elements (MSC-CRANKSHAFT-900K) symmetric rb matrix rb.mtx 18129441 117962 4912222 13099257 rsa 943695 943695 39297771 0 Order 943695 No. entries 39297771 -------------------------------------------------------------------------------- ==> bmw7st_1.readme <== -------------------------------------------------------------------------------- Source: www.parallab.uib.no/parasol/data.html (matrix BMW7st_1) stiffness matrix BMW7ST_1 2540788 47116 1246836 1246836 rsa 141347 141347 3740507 0 Linear static analysis of a car body. (MSC-CARBODY-140K) Order 141347 No. entries 3740507 -------------------------------------------------------------------------------- ==> bmwcra_1.readme <== -------------------------------------------------------------------------------- Source: www.parallab.uib.no/parasol/data.html (matrix BMWCRA_1) Automotive crankshaft model with nearly 150,000 TETRA elements (MSC-CRANKSHAFT-150K) stiffness matrix BMWCRA_1 3647183 49591 1798796 1798796 rsa 148770 148770 5396386 0 (3I14) (3I14) (1P,3E25.16E3) Order 148770 No. entries 5396386 -------------------------------------------------------------------------------- ==> copter1.readme <== -------------------------------------------------------------------------------- Source: Kumfert and Pothen require files copter1.kp (which is obtained from copter1.ptr and copter1.chac) N = 17222 NZ = 96921 (= off diag entries in upper triangle) Off diag. pattern only supplied. -------------------------------------------------------------------------------- ==> copter2.readme <== -------------------------------------------------------------------------------- Source: Kumfert and Pothen require files copter2.kp (which is obtained from copter2.ptr and copter2.chac) N = 55476 NZ = 352238 (= off diag entries in upper triangle) Off diag. pattern only supplied. -------------------------------------------------------------------------------- ==> crankseg_1.readme <== -------------------------------------------------------------------------------- Source: www.parallab.uib.no/parasol/data.html (matrix CRANKSG1) Linear static analysis of a crankshaft detail (MSC-CRANKSHAFT-SEGMENT-1) Order 52,804 No. entries 5,333,507 -------------------------------------------------------------------------------- ==> crankseg_2.readme <== -------------------------------------------------------------------------------- Source: www.parallab.uib.no/parasol/data.html (matrix CRANKSG2 Linear static analysis of a crankshaft detail (MSC-CRANKSHAFT-SEGMENT-2) Order 52,804 No. entries 7,106,348 -------------------------------------------------------------------------------- ==> Fcondp2.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 33913 Number of active nodes .................................. : 33913 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 552 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 201822 Number of elements ...................................... : 35836 Number of material types ................................ : 1 Maximum number of nodes connected to an element ......... : 4 Size of complete element node connectivity .............. : 143344 Size of stripped element node connectivity .............. : 143344 Size of active adjacency set representation ............. : 282912 TIME FOR WRITING MATRIX FORMAT = 7.7391695976E+00 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 1173274 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 8.89181E+00 Wall-Clock Time Consumption ............................. : 1.70000E+01 -------------------------------------------------------------------------------- ==> finance256.readme <== -------------------------------------------------------------------------------- Source: Kumfert and Pothen require files finance256.kp (which is obtained from finance256.ptr and finance256.chac) N = 37376 NZ = 130560 (= off diag entries in upper triangle) Off diag. pattern only supplied. -------------------------------------------------------------------------------- ==> ford1.readme <== -------------------------------------------------------------------------------- Source: Kumfert and Pothen require files ford1.kp (which is obtained from ford1.ptr and ford1.chac) N = 18728 NZ = 41424 (= off diag entries in upper triangle) Off diag. pattern only supplied. -------------------------------------------------------------------------------- ==> ford2.readme <== -------------------------------------------------------------------------------- Source: Kumfert and Pothen require files ford2.kp (which is obtained from ford2.ptr and ford2.chac) N = 100196 NZ = 222246 (= off diag entries in upper triangle) Off diag. pattern only supplied. -------------------------------------------------------------------------------- ==> Fullb.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 33442 Number of active nodes .................................. : 33442 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 586 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 199187 Number of elements ...................................... : 59738 Number of material types ................................ : 3 Maximum number of nodes connected to an element ......... : 4 Size of complete element node connectivity .............. : 195585 Size of stripped element node connectivity .............. : 195585 Size of active adjacency set representation ............. : 294498 TIME FOR WRITING MATRIX FORMAT = 1.0402039528E+01 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 1584759 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 1.18173E+01 Wall-Clock Time Consumption ............................. : 2.90000E+01 -------------------------------------------------------------------------------- ==> Halfb.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 38556 Number of active nodes .................................. : 38556 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 2470 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 224617 Number of elements ...................................... : 70211 Number of material types ................................ : 3 Maximum number of nodes connected to an element ......... : 4 Size of complete element node connectivity .............. : 221764 Size of stripped element node connectivity .............. : 221764 Size of active adjacency set representation ............. : 321406 TIME FOR WRITING MATRIX FORMAT = 1.1791002274E+01 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 1774320 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 1.33733E+01 Wall-Clock Time Consumption ............................. : 4.20000E+01 -------------------------------------------------------------------------------- ==> hood.readme <== -------------------------------------------------------------------------------- Source: www.parallab.uib.no/parasol/data.html (matrix HOOD) INDEED Test Matrix (DC-mh) DCMH 1945127 22055 549449 1373623 RSA 220542 220542 5494489 0 Order 220542 No. entries 5494489 -------------------------------------------------------------------------------- ==> inline_1.readme <== -------------------------------------------------------------------------------- Source: www.parallab.uib.no/parasol/data.html (INLINE_1) Inline skater (MSC-INLINE) stiffness matrix INLINE_1 12607923 167905 6220009 6220009 rsa 503712 503712 18660027 0 (3I14) (3I14) (1P,3E25.16E3) Order 503,712 No. entries 18,660,027 -------------------------------------------------------------------------------- ==> ldoor.readme <== -------------------------------------------------------------------------------- Source: www.parallab.uib.no/parasol/data.html (LDOOR) Large door INDEED Test Matrix TUER 8403290 95221 2373734 5934335 RSA 952203 952203 23737339 0 Order 952,203 No. entries 23,737,339 -------------------------------------------------------------------------------- ==> msdoor.readme <== -------------------------------------------------------------------------------- Source: www.parallab.uib.no/parasol/data.html (MSDOOR) INDEED Test Matrix smltuer smtuer 3656527 41587 1032840 2582100 rsa 415863 415863 10328399 0 Order 415,863 No. entries 10,328,399 -------------------------------------------------------------------------------- ==> M_T1.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Tubular joint Order 97,578 when assembled, entries = 4,925,574 unassembled entries = 6,882,780 DNV-Ex 1 : Tubular joint-1999-01-17 M_T1 1747955 533 26727 1720695 0 RSE 97578 5328 267270 6882780 (10I8) (10I8) (3e26.16) -------------------------------------------------------------------------------- ==> MT1.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug Element Repr of 27260 533 26727 0 0 PSE 97578 5328 267270 0 (10I8) (10I8) -------------------------------------------------------------------------------- ==> OILPAN.readme <== -------------------------------------------------------------------------------- Source: www.parallab.uib.no/parasol/data.html 1. TEST MATRIX FROM INPRO FOR PARASOL (OIL-PAN) 649791 7376 183547 458868 0 rsa 73752 73752 1835470 0 Order 73752 No. entries 1835470 -------------------------------------------------------------------------------- ==> onera_dual.readme <== -------------------------------------------------------------------------------- Source: Kumfert and Pothen require files onera_dual.kp (which is obtained from onera_dual.ptr and onera_dual.chac) N = 85567 NZ = 166817 (= off diag entries in upper triangle) Off diag. pattern only supplied. -------------------------------------------------------------------------------- ==> opt1.readme <== -------------------------------------------------------------------------------- Source: Christain Damhaug Matrix Representation of OPT1, part of condeep cylinder OPT1 5367 98 5269 0 0 PSE 15449 977 52686 0 (10I8) (10I8) -------------------------------------------------------------------------------- ==> pds10.readme <== -------------------------------------------------------------------------------- Source: Kumfert and Pothen require files pds10.kp (which is obtained from pds10.ptr and pds10.chac) N = 16558 NZ = 66550 (= off diag entries in upper triangle) Off diag. pattern only supplied. -------------------------------------------------------------------------------- ==> ramage02.readme <== -------------------------------------------------------------------------------- Source: Alison Ramage (Strathclyde) Pattern only element problem 1FINITE ELEMENT PROBLEM. NAVIER-STOKES AND CONTINUITY EQUATIONS. RAMAGE02 6495 141 6354 0 0 PSE 16830 1400 82598 0 (10I8) (13I6) (3(1PE22.14)) (3(1PE22.14)) -------------------------------------------------------------------------------- ==> s3dkq4m2.readme <== -------------------------------------------------------------------------------- Source: Matrix Market BUT had to edit file as in RB format so RSA needs to be rsa * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * cyl shell R/t=1000 unif 100 x 150 quad mesh DK-el with drill rotat * * Key = s3dkq4m2 , Type = RSA * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * Dimension N = 90449 * * Number of nonzero elements = 2455670 * * Average number of nonzero elements/Column = 27.1498 * * Standard deviation for above average = 2.6724 * * Nonzero elements in strict lower part = 2365221 * * Nonzero elements in strict upper part = 2365221 * * Nonzero elements in main diagonal = 90449 * * Weight of longest column = 59 * * Weight of shortest column = 15 * * Matching elements in symmetry = 0 * * Relative Symmetry Match (symmetry=1) = NaN * * Average distance of a(i,j) from diag. = 0.395E+03 * * Standard deviation for above average = 0.285E+03 * *-----------------------------------------------------------------* * Frobenius norm of A = 0.403E+06 * * Frobenius norm of symmetric part = 0.403E+06 * * Frobenius norm of nonsymmetric part = 0.000E+00 * * Maximum element in A = 0.215E+04 * * Percentage of weakly diagonally dominant rows = 0.329E-02 * * Percentage of weakly diagonally dominant columns = 0.329E-02 * *-----------------------------------------------------------------* * Lower bandwidth (max: i-j, a(i,j) .ne. 0) = 0 * * Upper bandwidth (max: j-i, a(i,j) .ne. 0) = 614 * * Maximum Bandwidth = 615 * * Average Bandwidth = 0.609E+03 * * Number of nonzeros in skyline storage = 55071893 * * 90% of matrix is in the band of width = 1217 * * 80% of matrix is in the band of width = 1211 * * The total number of nonvoid diagonals is = 331 * * The 10 most important diagonals are (offsets) : * * 0 1 2 3 4 5 603 602 604 601 * * The accumulated percentages they represent are : * * 3.7 7.4 11.0 14.7 18.3 22.0 25.6 29.2 32.9 36.5 * *-----------------------------------------------------------------* * The matrix does not have a block structure * *-----------------------------------------------------------------* -------------------------------------------------------------------------------- ==> s3dkt3m2.readme <== -------------------------------------------------------------------------------- Source: Matrix Market But had to edit file as in RB format RSA needs to be rsa * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * cyl shell 100 x 150 unif triang mesh R/t = 1000 * * Key = s3dkt3m2 , Type = RSA * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * Dimension N = 90449 * * Number of nonzero elements = 1921955 * * Average number of nonzero elements/Column = 21.2490 * * Standard deviation for above average = 2.3992 * * Nonzero elements in strict lower part = 1831506 * * Nonzero elements in strict upper part = 1831506 * * Nonzero elements in main diagonal = 90449 * * Weight of longest column = 47 * * Weight of shortest column = 9 * * Matching elements in symmetry = 0 * * Relative Symmetry Match (symmetry=1) = NaN * * Average distance of a(i,j) from diag. = 0.339E+03 * * Standard deviation for above average = 0.299E+03 * *-----------------------------------------------------------------* * Frobenius norm of A = 0.641E+06 * * Frobenius norm of symmetric part = 0.641E+06 * * Frobenius norm of nonsymmetric part = 0.000E+00 * * Maximum element in A = 0.322E+04 * * Percentage of weakly diagonally dominant rows = 0.000E+00 * * Percentage of weakly diagonally dominant columns = 0.000E+00 * *-----------------------------------------------------------------* * Lower bandwidth (max: i-j, a(i,j) .ne. 0) = 0 * * Upper bandwidth (max: j-i, a(i,j) .ne. 0) = 614 * * Maximum Bandwidth = 615 * * Average Bandwidth = 0.609E+03 * * Number of nonzeros in skyline storage = 55071893 * * 90% of matrix is in the band of width = 1219 * * 80% of matrix is in the band of width = 1215 * * The total number of nonvoid diagonals is = 328 * * The 10 most important diagonals are (offsets) : * * 0 1 2 3 4 5 603 604 605 6 * * The accumulated percentages they represent are : * * 4.7 9.4 14.1 18.8 23.4 28.1 32.7 37.4 42.0 46.6 * *-----------------------------------------------------------------* * The matrix does not have a block structure * *-----------------------------------------------------------------* -------------------------------------------------------------------------------- ==> SHIP_001.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Ship structure, predesign model Order 34,920 when assembled, entries = 2,339,575 unassembled entries = 3,686,133 DNV-Ex 2 : Ship structure, predesign model-1999-01-17 SHIP_001 937389 344 15511 921534 0 RSE 34920 3431 155106 3686133 (10I8) (10I8) (3e26.16) -------------------------------------------------------------------------------- ==> SHIP_003.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Ship structure from production run Order 121,728 when assembled, entries = 4,103,881 unassembled entries =9,728,631 DNV-Ex 3 : Ship structure from production run-1999-01-17 SHIP_003 2525272 4547 88317 2432408 0 RSE 121728 45464 883167 9729631 (10I8) (10I8) (3e26.16) -------------------------------------------------------------------------------- ==> SHIPSEC1.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Ship section/detail from production run Order 140,874 when assembled, entries = 3,977,139 unassembled entries = 6,882,780 DNV-Ex 4 : Ship section/detail from production run-1999-01-17 SHIPSEC1 2237188 4104 78502 2154582 0 RSE 140874 41037 785016 8618328 (10I8) (10I8) (3e26.16) -------------------------------------------------------------------------------- ==> SHIPSEC5.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Ship section/detail from production run Order 179,86 when assembled, entries = 6,146,478 unassembled entries = 11,118,602 DNV-PARASOL Ship section 5-1999-01-15 Shipsec5 2885670 5228 100791 2779651 0 RSE 179860 52272 1007907 11118602 (10I8) (10I8) (4e22.14) -------------------------------------------------------------------------------- ==> SHIPSEC8.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Ship section/detail from production run Order 114,919 when assembled, entries = 3,384,159 unassembled entries = 7,431,867 DNV-PARASOL Ship section 5-1999-01-15 Shipsec5 2885670 5228 100791 2779651 0 RSE 179860 52272 1007907 11118602 (10I8) (10I8) (4e22.14) -------------------------------------------------------------------------------- ==> Srb1.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 9198 Number of active nodes .................................. : 9154 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 44 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 54924 Number of elements ...................................... : 9240 Number of material types ................................ : 0 Maximum number of nodes connected to an element ......... : 4 Size of complete element node connectivity .............. : 36872 Size of stripped element node connectivity .............. : 36784 Size of active adjacency set representation ............. : 73128 TIME FOR WRITING MATRIX FORMAT = 1.9468524456E+00 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 303533 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 2.20886E+00 Wall-Clock Time Consumption ............................. : 6.00000E+00 -------------------------------------------------------------------------------- ==> Thread.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 10008 Number of active nodes .................................. : 9912 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 96 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 29736 Number of elements ...................................... : 2176 Number of material types ................................ : 1 Maximum number of nodes connected to an element ......... : 20 Size of complete element node connectivity .............. : 42080 Size of stripped element node connectivity .............. : 41888 Size of active adjacency set representation ............. : 486760 TIME FOR WRITING MATRIX FORMAT = 1.0886445045E+00 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 201743 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 1.33817E+00 Wall-Clock Time Consumption ............................. : 4.00000E+00 -------------------------------------------------------------------------------- ==> THREAD.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Threaded connector/contact problem Order 29,736 when assembled, entries = 2,249,892 unassembled entries = 3,718,704 DNV-Ex 7 : Threaded connector/contact problem-1999-01-17 THREAD 942461 218 12567 929676 0 RSE 29736 2176 125664 3718704 (10I8) (10I8) (3e26.16) -------------------------------------------------------------------------------- ==> trdheim.readme <== -------------------------------------------------------------------------------- Source: Christian Damhaug (DNR) Matrix Representation of TRDHEIM, Mesh of the Trondheim Fjord TRDHEIM 4473 82 4391 0 0 PSE 22098 813 43902 0 (10I8) (10I8) -------------------------------------------------------------------------------- ==> Troll.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 72545 Number of active nodes .................................. : 71151 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 1394 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 213453 Number of elements ...................................... : 41084 Number of material types ................................ : 2 Maximum number of nodes connected to an element ......... : 8 Size of complete element node connectivity .............. : 321888 Size of stripped element node connectivity .............. : 318624 Size of active adjacency set representation ............. : 1260528 TIME FOR WRITING MATRIX FORMAT = 8.8573474884E+00 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 1570220 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 1.10190E+01 Wall-Clock Time Consumption ............................. : 2.90000E+01 -------------------------------------------------------------------------------- ==> tsyl201.readme <== -------------------------------------------------------------------------------- Source: Christian Damhaug (DNR) Matrix Representation of TSYL201, part of condeep cylinder TSYL201 5857 97 5760 0 0 PSE 20685 960 57600 0 (10I8) (10I8) -------------------------------------------------------------------------------- ==> vanbody.readme <== -------------------------------------------------------------------------------- Source: www.parallab.uib.no/parasol/data.html (LDOOR) Van body model (MSC-VANBODY) stiffness matrix XCARBO_1 810349 15691 397329 397329 rsa 47072 47072 1191985 0 Order 47072 entries 1191985 -------------------------------------------------------------------------------- ==> X104.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Beam joint (SESAM test example no. 104) Order 108,384 when assembled, entries = 5,138,004 unassembled entries = 7,065,546 DNV-Ex 8 : SESAM test example no 104-1999-01-17 X104 1795848 602 28859 1766387 0 RSE 108384 6019 288588 7065546 (10I8) (10I8) (3e26.16) ################################################################################ These are matrices in unassembled finite-element form: ################################################################################ -------------------------------------------------------------------------------- ==> Fcondp2.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 33913 Number of active nodes .................................. : 33913 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 552 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 201822 Number of elements ...................................... : 35836 Number of material types ................................ : 1 Maximum number of nodes connected to an element ......... : 4 Size of complete element node connectivity .............. : 143344 Size of stripped element node connectivity .............. : 143344 Size of active adjacency set representation ............. : 282912 TIME FOR WRITING MATRIX FORMAT = 7.7391695976E+00 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 1173274 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 8.89181E+00 Wall-Clock Time Consumption ............................. : 1.70000E+01 -------------------------------------------------------------------------------- ==> Fullb.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 33442 Number of active nodes .................................. : 33442 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 586 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 199187 Number of elements ...................................... : 59738 Number of material types ................................ : 3 Maximum number of nodes connected to an element ......... : 4 Size of complete element node connectivity .............. : 195585 Size of stripped element node connectivity .............. : 195585 Size of active adjacency set representation ............. : 294498 TIME FOR WRITING MATRIX FORMAT = 1.0402039528E+01 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 1584759 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 1.18173E+01 Wall-Clock Time Consumption ............................. : 2.90000E+01 -------------------------------------------------------------------------------- ==> Halfb.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 38556 Number of active nodes .................................. : 38556 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 2470 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 224617 Number of elements ...................................... : 70211 Number of material types ................................ : 3 Maximum number of nodes connected to an element ......... : 4 Size of complete element node connectivity .............. : 221764 Size of stripped element node connectivity .............. : 221764 Size of active adjacency set representation ............. : 321406 TIME FOR WRITING MATRIX FORMAT = 1.1791002274E+01 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 1774320 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 1.33733E+01 Wall-Clock Time Consumption ............................. : 4.20000E+01 -------------------------------------------------------------------------------- ==> M_T1.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Tubular joint Order 97,578 when assembled, entries = 4,925,574 unassembled entries = 6,882,780 DNV-Ex 1 : Tubular joint-1999-01-17 M_T1 1747955 533 26727 1720695 0 RSE 97578 5328 267270 6882780 (10I8) (10I8) (3e26.16) -------------------------------------------------------------------------------- ==> MT1.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug Element Repr of 27260 533 26727 0 0 PSE 97578 5328 267270 0 (10I8) (10I8) -------------------------------------------------------------------------------- ==> opt1.readme <== -------------------------------------------------------------------------------- Source: Christain Damhaug Matrix Representation of OPT1, part of condeep cylinder OPT1 5367 98 5269 0 0 PSE 15449 977 52686 0 (10I8) (10I8) -------------------------------------------------------------------------------- ==> ramage02.readme <== -------------------------------------------------------------------------------- Source: Alison Ramage (Strathclyde) Pattern only element problem 1FINITE ELEMENT PROBLEM. NAVIER-STOKES AND CONTINUITY EQUATIONS. RAMAGE02 6495 141 6354 0 0 PSE 16830 1400 82598 0 (10I8) (13I6) (3(1PE22.14)) (3(1PE22.14)) -------------------------------------------------------------------------------- ==> SHIP_001.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Ship structure, predesign model Order 34,920 when assembled, entries = 2,339,575 unassembled entries = 3,686,133 DNV-Ex 2 : Ship structure, predesign model-1999-01-17 SHIP_001 937389 344 15511 921534 0 RSE 34920 3431 155106 3686133 (10I8) (10I8) (3e26.16) -------------------------------------------------------------------------------- ==> SHIP_003.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Ship structure from production run Order 121,728 when assembled, entries = 4,103,881 unassembled entries =9,728,631 DNV-Ex 3 : Ship structure from production run-1999-01-17 SHIP_003 2525272 4547 88317 2432408 0 RSE 121728 45464 883167 9729631 (10I8) (10I8) (3e26.16) -------------------------------------------------------------------------------- ==> SHIPSEC1.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Ship section/detail from production run Order 140,874 when assembled, entries = 3,977,139 unassembled entries = 6,882,780 DNV-Ex 4 : Ship section/detail from production run-1999-01-17 SHIPSEC1 2237188 4104 78502 2154582 0 RSE 140874 41037 785016 8618328 (10I8) (10I8) (3e26.16) -------------------------------------------------------------------------------- ==> SHIPSEC5.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Ship section/detail from production run Order 179,86 when assembled, entries = 6,146,478 unassembled entries = 11,118,602 DNV-PARASOL Ship section 5-1999-01-15 Shipsec5 2885670 5228 100791 2779651 0 RSE 179860 52272 1007907 11118602 (10I8) (10I8) (4e22.14) -------------------------------------------------------------------------------- ==> SHIPSEC8.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Ship section/detail from production run Order 114,919 when assembled, entries = 3,384,159 unassembled entries = 7,431,867 DNV-PARASOL Ship section 5-1999-01-15 Shipsec5 2885670 5228 100791 2779651 0 RSE 179860 52272 1007907 11118602 (10I8) (10I8) (4e22.14) -------------------------------------------------------------------------------- ==> Srb1.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 9198 Number of active nodes .................................. : 9154 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 44 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 54924 Number of elements ...................................... : 9240 Number of material types ................................ : 0 Maximum number of nodes connected to an element ......... : 4 Size of complete element node connectivity .............. : 36872 Size of stripped element node connectivity .............. : 36784 Size of active adjacency set representation ............. : 73128 TIME FOR WRITING MATRIX FORMAT = 1.9468524456E+00 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 303533 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 2.20886E+00 Wall-Clock Time Consumption ............................. : 6.00000E+00 -------------------------------------------------------------------------------- ==> Thread.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 10008 Number of active nodes .................................. : 9912 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 96 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 29736 Number of elements ...................................... : 2176 Number of material types ................................ : 1 Maximum number of nodes connected to an element ......... : 20 Size of complete element node connectivity .............. : 42080 Size of stripped element node connectivity .............. : 41888 Size of active adjacency set representation ............. : 486760 TIME FOR WRITING MATRIX FORMAT = 1.0886445045E+00 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 201743 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 1.33817E+00 Wall-Clock Time Consumption ............................. : 4.00000E+00 -------------------------------------------------------------------------------- ==> THREAD.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Threaded connector/contact problem Order 29,736 when assembled, entries = 2,249,892 unassembled entries = 3,718,704 DNV-Ex 7 : Threaded connector/contact problem-1999-01-17 THREAD 942461 218 12567 929676 0 RSE 29736 2176 125664 3718704 (10I8) (10I8) (3e26.16) -------------------------------------------------------------------------------- ==> trdheim.readme <== -------------------------------------------------------------------------------- Source: Christian Damhaug (DNR) Matrix Representation of TRDHEIM, Mesh of the Trondheim Fjord TRDHEIM 4473 82 4391 0 0 PSE 22098 813 43902 0 (10I8) (10I8) -------------------------------------------------------------------------------- ==> Troll.readme <== -------------------------------------------------------------------------------- Source: Christain Damahug (Det Norske Veritas, Oslo, Norway) Matrix Format Converter ----------------------- Total number of nodes ................................... : 72545 Number of active nodes .................................. : 71151 Number of external nodes ................................ : 0 Number of nodes with at least one boundary condition .... : 1394 Number of nodes with at least one load intensity ........ : 0 Number of free variables (equations) .................... : 213453 Number of elements ...................................... : 41084 Number of material types ................................ : 2 Maximum number of nodes connected to an element ......... : 8 Size of complete element node connectivity .............. : 321888 Size of stripped element node connectivity .............. : 318624 Size of active adjacency set representation ............. : 1260528 TIME FOR WRITING MATRIX FORMAT = 8.8573474884E+00 = = = = = = = = = = = = = = = = = = = = = = = = = = = = Storage Requirement Matrix Convertion = = = = = = = = = = = = = = = = = = = = = = = = = = = = Total INTEGER workspace need (runtime measure) .......... : 1570220 Total REAL workspace need (runtime measure) ............. : 0 Total CPU-time consumption to convert the matrix ........ : 1.10190E+01 Wall-Clock Time Consumption ............................. : 2.90000E+01 -------------------------------------------------------------------------------- ==> tsyl201.readme <== -------------------------------------------------------------------------------- Source: Christian Damhaug (DNR) Matrix Representation of TSYL201, part of condeep cylinder TSYL201 5857 97 5760 0 0 PSE 20685 960 57600 0 (10I8) (10I8) -------------------------------------------------------------------------------- ==> X104.readme <== -------------------------------------------------------------------------------- Source: Chrisitan Damhaug www.parallab.uib.no/parasol/data.html We have this matrix available in assembled and element form Beam joint (SESAM test example no. 104) Order 108,384 when assembled, entries = 5,138,004 unassembled entries = 7,065,546 DNV-Ex 8 : SESAM test example no 104-1999-01-17 X104 1795848 602 28859 1766387 0 RSE 108384 6019 288588 7065546 (10I8) (10I8) (3e26.16)