An ℋ-matrix based direct solver for the boundary element method in 3D elastodynamics
| Autor: | Luca Desiderio |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Vector Adaptive Cross Approximation
Boundary Element Method H -matrices Vector Adaptive Cross Approximation Truncated Singular Value Decomposition Direct Solver 3D Elastodynamics Scattering Problems H -matrices Scattering Problems Discretization Boundary Element Method Computer science Hierarchical matrix Linear system 3D Elastodynamics CPU time Solver Matrix (mathematics) Direct Solver Applied mathematics Reduction (mathematics) Boundary element method Truncated Singular Value Decomposition |
| Zdroj: | AIP Conference Proceedings. |
| ISSN: | 0094-243X |
| DOI: | 10.1063/1.5043770 |
| Popis: | In this work we present a fast direct solver for 3D elastodynamic problems in frequency-domain. We use the Boundary Element Method as discretization technique, in association with the hierarchical matrix technique for the fast solution of the resulting linear system. The accuracy and the efficiency of the solver is demonstrated through numerical examples, showing a significant reduction of memory requirement and CPU time with respect to the standard Boundary Element Method. The proposed solver therefore offers perspectives to study large-scale 3D transient elastodynamic problems, with possible applications in seismology. |
| Databáze: | OpenAIRE |
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