Description: High-order vector finite element method in EM
|(undirected graph drawing)|
|number of rows||589,446|
|number of columns||589,446|
|structural full rank?||yes|
|# of blocks from dmperm||1|
|# strongly connected comp.||1|
|explicit zero entries||0|
|nonzero pattern symmetry||symmetric|
|numeric value symmetry||symmetric|
|author||A. Dziekonski, A. Lamecki, M. Mrozowski|
|Additional fields||size and type|
High order vector finite element method in electromagnetics The matrices came from analysis of a 9-th order microwave combline filter with second order (LT\QN) vector finite elements with different mesh quality. The matrices were used as an example in our paper . gsm_106857 - real symmetric matrix (589446 x 589446) and 21758924 nonzero elements. First 98577 unknowns corresponds to lowest level (CT\LN) base functions. All matrices are sparse and come with right-hand-sides.  GPU Acceleration of Multilevel Solvers for Analysis of Microwave Components with Finite Element Method, A. Dziekonski, A. Lamecki, A., and M. Mrozowski, M., IEEE Microwave and Wireless Components Letters, vol 20, number 12, Dec 2010. http://dx.doi.org/10.1109/LMWC.2010.2089974
|nnz(chol(P*(A+A'+s*I)*P')) with AMD||184,098,449|
|Cholesky flop count||1.9e+11|
|nnz(L+U), no partial pivoting, with AMD||367,607,452|
|nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD||433,129,917|
|nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD||1,001,317,649|
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Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.