The paper presents a highly optimized implementation of a multifrontal solver for linear systems arising in the FEM simulation of multi-physics problems related to the behaviour of porous media. The solver features a careful preprocessing phase that is crucial to considerably speed up both system assembly and Gaussian elimination. When run on a number of relevant test cases, the proposed solver compares very favourably with both its previous unifrontal counterpart and two general multifrontal solvers well known in the literature.
A fast multifrontal solver for non-linear multi-physics problems
BERTOLDO, ALBERTO;BIANCO, MAURO;PUCCI, GEPPINO
2004
Abstract
The paper presents a highly optimized implementation of a multifrontal solver for linear systems arising in the FEM simulation of multi-physics problems related to the behaviour of porous media. The solver features a careful preprocessing phase that is crucial to considerably speed up both system assembly and Gaussian elimination. When run on a number of relevant test cases, the proposed solver compares very favourably with both its previous unifrontal counterpart and two general multifrontal solvers well known in the literature.
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