Cylshell/s3rmq4m1
FEM, cylindrical shell, 30x30 quad. mesh, stabilized MITC4 elements, R/t=1000
| Name |
s3rmq4m1 |
| Group |
Cylshell |
| Matrix ID |
1607 |
|
Num Rows
|
5,489 |
|
Num Cols
|
5,489 |
|
Nonzeros
|
262,943 |
|
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
|
18,168 |
|
Pattern Symmetry
|
100% |
|
Numeric Symmetry
|
100% |
|
Cholesky Candidate
|
yes |
|
Positive Definite
|
yes |
|
Type
|
real |
| SVD Statistics |
| Matrix Norm |
6.874525e+03 |
| Minimum Singular Value |
3.893681e-07 |
| Condition Number |
1.765559e+10
|
| Rank |
5,489 |
| sprank(A)-rank(A) |
0 |
| Null Space Dimension |
0 |
| Full Numerical Rank? |
yes |
| Download Singular Values |
MATLAB
|
| Download |
MATLAB
Rutherford Boeing
Matrix Market
|
| Notes |
%
%FILE s3rmq4m1.mtx
%TITLE Cyl shell R/t=1000 unif 30x30 quad mesh stab MITC4 elem with drill rot
%KEY s3rmq4m1
%
%
%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 = 1000
% 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
%
%
|
