Dziekonski/gsm_106857

High-order vector finite element method in EM
Name gsm_106857
Group Dziekonski
Matrix ID 2329
Num Rows 589,446
Num Cols 589,446
Nonzeros 21,758,924
Pattern Entries 21,758,924
Kind Electromagnetics Problem
Symmetric Yes
Date 2010
Author A. Dziekonski, A. Lamecki, M. Mrozowski
Editor T. Davis
Structural Rank 589,446
Structural Rank Full true
Num Dmperm Blocks 1
Strongly Connect Components 1
Num Explicit Zeros 0
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate no
Positive Definite no
Type real
Download MATLAB Rutherford Boeing Matrix Market
Notes
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 [1].                                       
                                                                
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.         
                                                                
[1] 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