TY  - JOUR
A1  - Shin, Seoleun
A1  - Zöller, Gert
A1  - Holschneider, Matthias
A1  - Reich, Sebastian
T1  - A multigrid solver for modeling complex interseismic stress fields
JF  - Computers & geosciences : an international journal devoted to the publication of papers on all aspects of geocomputation and to the distribution of computer programs and test data sets ; an official journal of the International Association for Mathematical Geology
N2  - We develop a multigrid, multiple time stepping scheme to reduce computational efforts for calculating complex stress interactions in a strike-slip 2D planar fault for the simulation of seismicity. The key elements of the multilevel solver are separation of length scale, grid-coarsening, and hierarchy. In this study the complex stress interactions are split into two parts: the first with a small contribution is computed on a coarse level, and the rest for strong interactions is on a fine level. This partition leads to a significant reduction of the number of computations. The reduction of complexity is even enhanced by combining the multigrid with multiple time stepping. Computational efficiency is enhanced by a factor of 10 while retaining a reasonable accuracy, compared to the original full matrix-vortex multiplication. The accuracy of solution and computational efficiency depend on a given cut-off radius that splits multiplications into the two parts. The multigrid scheme is constructed in such a way that it conserves stress in the entire half-space.
KW  - Multigrid
KW  - Multiple time stepping
KW  - Strike-slip fault model
Y1  - 2011
U6  - https://doi.org/10.1016/j.cageo.2010.11.011
SN  - 0098-3004
VL  - 37
IS  - 8
SP  - 1075
EP  - 1082
PB  - Elsevier
CY  - Oxford
ER  -