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.

An ℋ-matrix based direct solver for the boundary element method in 3D elastodynamics / Desiderio, Luca. - In: AIP CONFERENCE PROCEEDINGS. - ISSN 0094-243X. - ELETTRONICO. - 1978:(2018), p. 120005. [10.1063/1.5043770]

An ℋ-matrix based direct solver for the boundary element method in 3D elastodynamics

Desiderio, Luca
2018

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2723151
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