Direct methods for sparse matrices
Direct methods for sparse matrices
The design of a new frontal code for solving sparse, unsymmetric systems
ACM Transactions on Mathematical Software (TOMS)
The Multifrontal Solution of Indefinite Sparse Symmetric Linear
ACM Transactions on Mathematical Software (TOMS)
An Accurate and Efficient Frontal Solver for Fully-Coupled Hygro-Thermo-Mechanical Problems
ICCS '02 Proceedings of the International Conference on Computational Science-Part I
A Supernodal Approach to Sparse Partial Pivoting
A Supernodal Approach to Sparse Partial Pivoting
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An optimized version of a frontal solver for the finite element simulation of non-linear coupled multiphysic problems arising in the simulation of concrete under fire is presented. A new algorithm for UL factorization using BLAS level 3 routines is developed, and then used to implement a pivoting strategy that has shown to be well suited for the linear systems involved. Our implementation also features efficient algorithms to swap rows and columns of the matrix of the system. The resulting code shows to be effective for this kind of complex problems, being able to exhibit 850MFlops performance on a 375MHz IBM Power3 machine, with computational errors comparable with the round-off unit of double precision floating point numbers.