Group Sinclair

Group Description
3-D spectral-element elastic wave modelling in freq. domain, C. Sinclair,
Univ. Adelaide, Australia.

catherine dot sinclair at adelaide dot edu dot au.

3Dspectralwave:

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 ;

Added to the collection in May, 2007, by Tim Davis

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3Dspectralwave2 is a smaller version:

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. 

((20 x 4) - (20 - 1))^3 * 3 = 680943 

Added to the collection in June, 2007, by Tim Davis
Displaying all 2 collection matrices
Id Name Group Rows Cols Nonzeros Kind Date Download File
1857 3Dspectralwave2 Sinclair 292,008 292,008 12,935,272 Materials Problem 2007 MATLAB Rutherford Boeing Matrix Market
1856 3Dspectralwave Sinclair 680,943 680,943 30,290,827 Materials Problem 2007 MATLAB Rutherford Boeing Matrix Market