Matrix: Lee/fem_filter

Description: FEM bandpass microwave filter, 500MHz. Center for Comp. Electromag., UIUC

 (undirected graph drawing)

• Matrix group: Lee
• download as a MATLAB mat-file, file size: 18 MB. Use UFget(1878) or UFget('Lee/fem_filter') in MATLAB.

 Matrix properties number of rows 74,062 number of columns 74,062 nonzeros 1,731,206 structural full rank? yes structural rank 74,062 # of blocks from dmperm 1 # strongly connected comp. 1 explicit zero entries 0 nonzero pattern symmetry symmetric numeric value symmetry 61% type complex structure unsymmetric Cholesky candidate? no positive definite? no

 author S.-H. Lee editor T. Davis date 2008 kind electromagnetics problem 2D/3D problem? yes

Notes:

```From the Univ of Illinois at Urbana-Champaign, Center for Computational
Electromagnetics (development and application of the finite element
method for analyzing antennas, high-frequency circuits, high-speed
circuits, and so on).  The governing equations are Maxwell's equations.
The matrix results from the finite-element discretization of a bandpass
microwave filter at 500 MHz. The first-order vector element is employed.
The absorbing boundary condition is applied on the outer boundary of the
structure for emulating the open space.  The port boundary condition is
applied on each port of the circuit for the truncating the computational
domain and exciting the circuit. Due to these boundary conditions, the
finite-element system matrix is complex.
```

 Ordering statistics: result nnz(chol(P*(A+A'+s*I)*P')) with AMD 30,376,062 Cholesky flop count 4.4e+10 nnz(L+U), no partial pivoting, with AMD 60,678,062 nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD 71,971,769 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 135,637,784