Cylshell/s1rmq4m1

FEM, cylindrical shell, 30x30 quad. mesh, stabilized MITC4 elements, R/t=10
Name s1rmq4m1
Group Cylshell
Matrix ID 1605
Num Rows 5,489
Num Cols 5,489
Nonzeros 262,411
Pattern Entries 281,111
Kind Structural Problem
Symmetric Yes
Date 1997
Author R. Kouhia
Editor R. Boisvert, R. Pozo, K. Remington, B. Miller, R. Lipman, R. Barrett, J. Dongarra
Structural Rank 5,489
Structural Rank Full true
Num Dmperm Blocks 1
Strongly Connect Components 1
Num Explicit Zeros 18,700
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate yes
Positive Definite yes
Type real
SVD Statistics
Matrix Norm 6.874322e+05
Minimum Singular Value 3.796963e-01
Condition Number 1.810479e+06
Rank 5,489
sprank(A)-rank(A) 0
Null Space Dimension 0
Full Numerical Rank? yes
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Notes
%                                                                              
%FILE  s1rmq4m1.mtx                                                            
%TITLE Cyl shell R/t = 10 unif 30x30 quad mesh stab MITC4 elem with drill rot  
%KEY   s1rmq4m1                                                                
%                                                                              
%                                                                              
%CONTRIBUTOR Reijo Kouhia (reijo.kouhia@hut.fi)                                
%                                                                              
%REFERENCE   M. Benzi, R. Kouhia, M.Tuma: An assesment of some                 
%            preconditioning techniques in shell problems                      
%            Technical Report LA-UR-97-3892, Los Alamos National Laboratory    
%                                                                              
%BEGIN DESCRIPTION                                                             
% Matrix from a static analysis of a cylindrical shell                         
% Radius to thickness ratio R/t = 10                                           
% Length to radius ratio    R/L = 1                                            
% One octant discretized with uniform 30 x 30 quadrilateral mesh               
% element:                                                                     
% facet-type shell element where the bending part is formulated                
% using the stabilized MITC theory (stabilization paramater 0.4)               
% the membrane part includes drilling rotations using                          
% the Hughes-Brezzi formulation with (regularizing parameter = G/1000,         
% where G is the shear modulus)                                                
% full 2x2 Gauss-Legendre integration                                          
% --------------------------------------------------------------------------   
% Note:                                                                        
% The sparsity pattern of the matrix is determined from the element            
% connectivity data assuming that the element matrix is full.                  
% Since this case the  material model is linear isotropically elastic          
% and the FE mesh is  uniform there exist some zeros.                          
% Since the removal of those zero elements is trivial                          
% but the reconstruction of the current sparsity                               
% pattern is impossible from the sparsified structure without any further      
% knowledge of the element connectivity, the zeros are retained in this file.  
% ---------------------------------------------------------------------------  
%END DESCRIPTION                                                               
%                                                                              
%