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A survey on direct solvers for Galerkin methods
(Sociedad Española de Matemática Aplicada, 2012-01)
In this paper we describe the history, performance, and design concepts of direct solvers for algebraic systems resulting from Galerkin discretizations of partial differential equations. Popular direct solver implementations ...
Computational cost of isogeometric multi-frontal solvers on parallel distributed memory machines
(Elsevier Science Sa, 2015-02)
This paper derives theoretical estimates of the computational cost for isogeometric multi-frontal direct solver executed on parallel distributed memory machines. We show theoretically that for the Cp-1 global continuity ...
Matrix-vector multiplication and triangular linear solver using GPGPU for symmetric positive definite matrices derived from elliptic equations
(Kobe, 2014-03-14)
The modern GPUs are well suited for intensive computational tasks and massive parallel computation. Sparse matrix multiplication and linear triangular solver are the most important and heavily used kernels in scientific ...
Parallel Direct Solvers for Finite Element Problems
(Centro de Investigación en Matemáticas AC, 2010)
Implementação de solução elemento-por-elemento em ambiente distribuído para o método dos elementos finitos
(Universidade Federal de Minas GeraisUFMG, 1993-10-15)
An efficient finite element parallel solver has beem implemented on a virtual parallel machine using a cluster of workstations networked. The conjugate gradient method has been shown to be appropriate on the parallel ...
Parallel self-verified solver for dense linear systems
(Pontifícia Universidade Católica do Rio Grande do SulPorto Alegre, 2009)
This thesis presents a free, fast, reliable and accurate solver for point and interval dense linear systems. The idea was to implement a solver for dense linear systems using a verified method, interval arithmetic and ...
Parallel self-verified solver for dense linear systems
(Pontifícia Universidade Católica do Rio Grande do SulPorto Alegre, 2009)
This thesis presents a free, fast, reliable and accurate solver for point and interval dense linear systems. The idea was to implement a solver for dense linear systems using a verified method, interval arithmetic and ...
High performance implementation of MPC schemes for fast systems
(Pontificia Universidad Católica del PerúPE, 2016)
High performance implementation of MPC schemes for fast systems
(Pontificia Universidad Católica del PerúPE, 2016)
Iterative methods for 3D implicit finite-difference migration using the complex Pade approximation
(Iop Publishing LtdBristolInglaterra, 2013)