MULTI-FRONTAL SOLVER FOR SIMULATIONS OF LINEAR ELASTICITY COUPLED WITH ACOUSTICS

Maciej Paszyński; Tomasz Jurczyk; David Pardo

doi:10.7494/csci.2011.12.0.85

Authors

Maciej Paszyński AGH University of Science and Technology
Tomasz Jurczyk AGH University of Science and Technology
David Pardo University of the Basque Country (UPV/EHU), IKERBASQUE (Basque Foundation of Sciences)

DOI:

https://doi.org/10.7494/csci.2011.12.0.85

Keywords:

parallel simulations, multi-frontal solvers, finite element method, linear elasticity coupled with accoustics, 3D mesh generation

Abstract

This paper describes the concurrent multi-frontal direct solver algorithm for a multi-physicsFinite Element Method (FEM). The multi-physics FEM utilizes different element sizes aswell as polynomial orders of approximation over element edges, faces, and interiors (elementnodes). The solver is based on the concept of a node, and management of unknowns isrealized at the level of nodes. The solver is tested on a challenging multi-physis problem:acoustics coupled with linear elasticity over a 3D ball shape domain.

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Author Biographies

Maciej Paszyński, AGH University of Science and Technology

Faculty of Electrical Engineering, Automatics, ITand Electronics, Department of Computer Science

Tomasz Jurczyk, AGH University of Science and Technology

Faculty of Electrical Engineering, Automatics, ITand Electronics, Department of Computer Science

David Pardo, University of the Basque Country (UPV/EHU), IKERBASQUE (Basque Foundation of Sciences)

Department of Applied Mathematics, Statistics, and Operational Research

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