Multi-Frontal Solver For Simulations Of Linear Elasticity Coupled With Acoustics

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.

Keywords

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