Fast Solvers for Mesh-Based Computations

Fast Solvers for Mesh-Based Computations

Paszynski, Maciej

Taylor & Francis Ltd

10/2024

352

Mole

9781032921440

Pré-lançamento - envio 15 a 20 dias após a sua edição

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Multi-Frontal Direct Solver Algorithm for Tri-Diagonal and Block-Diagonal One-Dimensional Problems. One-Dimensional Non-Stationary Problems. Multi-Frontal Direct Solver Algorithm for Multi-Diagonal One-Dimensional Problems. Multi-Frontal Direct Solver Algorithm for Two-Dimensional Grids with Block Diagonal Structure of the Matrix. Multi-Frontal Direct Solver Algorithm for Three-Dimensional Grids with Block Diagonal Structure of the Matrix. Multi-Frontal Direct Solver Algorithm for Two-Dimensional Isogeometric Finite Element Method. Expressing Partial LU Factorization by BLAS Calls. Multi-Frontal Solver Algorithm for Arbitrary Mesh-Based Computations. Elimination Trees. Reutilization and Reuse of Partial LU Factorizatons. Numerical Experiments.
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Elimination Tree;Finite Difference Method;elimination;MULTI-FRONTAL SOLVER;tree;Solver Algorithm;algorithm;Linear Basis Functions;schur;Schur Complement;complement;Execution Time;finite;Nested Dissections Algorithm;element;Double A2;method;Double B1;backward;LU Factorization;substitution;Edge Singularity;Backward Substitution;B1 A1;BLAS Routine;Dependency Graph;FLOPs;Direct Solver;Master Element;Discrete Weak Formulation;Son Node;Finite Element Mesh;Patch Number;Precision Matrix;Tri Diagonal Matrix