Sinclair/3Dspectralwave
3-D spectral-element elastic wave modelling in freq. domain, C. Sinclair, Univ. Adelaide
Name |
3Dspectralwave |
Group |
Sinclair |
Matrix ID |
1856 |
Num Rows
|
680,943 |
Num Cols
|
680,943 |
Nonzeros
|
30,290,827 |
Pattern Entries
|
33,650,589 |
Kind
|
Materials Problem |
Symmetric
|
No |
Date
|
2007 |
Author
|
C. Sinclair |
Editor
|
T. Davis |
Structural Rank |
680,943 |
Structural Rank Full |
true |
Num Dmperm Blocks
|
1 |
Strongly Connect Components
|
1 |
Num Explicit Zeros
|
3,359,762 |
Pattern Symmetry
|
100% |
Numeric Symmetry
|
100% |
Cholesky Candidate
|
yes |
Positive Definite
|
no |
Type
|
complex |
Download |
MATLAB
Rutherford Boeing
Matrix Market
|
Notes |
The A matrix is produced using 3-D spectral-element elastic wave modelling in
the frequency domain. The medium is homogeneous and isotropic with elastic
coefficients: c11 = 6.30, c44 = 1.00 The B matrix represents a real
y-directed source, placed approximately in the centre. The model size in
elements is 20x20x20. Each element is 1m x1m x 1m. Each element is a 4x4x4
Gauss-Lobbato-Legendre mesh, so the height, width and depth of the system is
61 nodes. There are 3 unknown components at each node - the x, y and z
displacements. The A matrix therefore has dimension 680943 x 680943, where
((20 x 4) - (20 - 1))^3 * 3 = 680943. The problem domain is earth sciences.
Note that A is complex and b is sparse and real (b has a single nonzero).
The A matrix was provided with a nonzero imaginary part, but was otherwise
complex Hermitian. To save space in the Matrix Market and Rutherford/Boeing
formats, the A matrix here has had this imaginary diagonal removed. The
shift can be found in the aux.shift auxiliary matrix. To reproduce the
original A matrix, use A = Problem.A + Problem.aux.shift ;
|