Dziekonski/dielFilterV3clx

High-order vector finite element method in EM
Name dielFilterV3clx
Group Dziekonski
Matrix ID 2387
Num Rows 420,408
Num Cols 420,408
Nonzeros 32,886,208
Pattern Entries 32,886,208
Kind Electromagnetics Problem
Symmetric Yes
Date 2011
Author A. Dziekonski, A. Lamecki, M. Mrozowski
Editor T. Davis
Structural Rank 420,408
Structural Rank Full true
Num Dmperm Blocks 1
Strongly Connect Components 1
Num Explicit Zeros 0
Pattern Symmetry 100%
Numeric Symmetry 88.7%
Cholesky Candidate no
Positive Definite no
Type complex
Download MATLAB Rutherford Boeing Matrix Market
Notes
High order vector finite element method in electromagnetics       
                                                                  
The dielFilter* matrices came from analysis of a 4th-pole         
dielectric resonator [4] generated with Finite Element Method.    
The tetrahedral mesh of the structure was generated with the      
Netgen mesher [2].  The matrices were used as an example in       
our paper [3].                                                    
                                                                  
dielFilterV2clx - complex symmetric matrix (607,232 x 607,232),   
    25,309,272 nonzero (real) and 728,900 nonzero (imag) elements.
    First 109,108 unknowns correspond to lowest level base        
    functions.                                                    
                                                                  
dielFilterV2real - real symmetric matrix (1,157,456 x 1,157,456)  
    and 48,538,952 nonzero elements.  First 209,432 unknowns      
    correspond to lowest level base functions.                    
                                                                  
dielFilterV3clx - complex symmetric matrix (420,408 x 420,408),   
    32,886,208 nonzero (real) and 3,706,513 (imag) elements. First
    24,716 unknowns correspond to lowest level base functions,    
    next 116,152 unknowns correspond to the second level.         
                                                                  
dielFilterV3real - real symmetric matrix (1,102,824 x 1,102,824)  
    and 89,306,020 nonzero elements. First 66,353 unknowns        
    correspond to lowest level base functions, next 305,729       
    unknowns correspond to the  second level.                     
                                                                  
All matrices are sparse and come with right-hand-sides.           
                                                                  
[2] J. Schoberl, "NETGEN An advancing front 2D/3D-mesh            
generator based on abstract rules," Computing and Visualization   
in Science, vol. 1, No. 1, pp.  41-52, July 1997                  
                                                                  
[3] A. Dziekonski, A. Lamecki, M. Mrozowski, Tuning A             
Hybrid GPU-CPU V-cycle Multilevel Preconditioner for Solving      
Large Real and Complex Systems of FEM Equations.                  
                                                                  
[4] F. Alessandri, M. Chiodetti, A. Giugliarelli; D. Maiarelli,   
G. Martirano, D. Schmitt, L. Vanni and F. Vitulli.  The           
electric-field Integral-equation method for the analysis and      
design of a class of rectangular cavity filters loaded by         
dielectric and metallic cylindrical pucks, Microwave Theory       
and Techniques, IEEE Transactions on, vol. 52, no 8, pp.          
1790-1797, Aug. 2004.