Multi-frontal Solver for Simulations of Linear Elasticity coupled with Acoustics

This paper describes the concurrent multi-frontal direct solver algorithm for a multi-physics Finite Element Method (FEM). The multi-physics FEM utilizes different element sizes as well as polynomial orders of approximation over element edges, faces, and interiors (element nodes). The solver is based on the concept of a node, and management of unknowns is realized 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.