## Sinclair/3Dspectralwave

3-D spectral-element elastic wave modelling in freq. domain, C. Sinclair, Univ. Adelaide
Name 3Dspectralwave Sinclair 1856 680,943 680,943 30,290,827 33,650,589 Materials Problem No 2007 C. Sinclair T. Davis
Structural Rank 680,943 true 1 1 3,359,762 100% 100% yes no complex
Download ```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 ;```