Solution of Hybrid FEM-BEM Systems via Schur Complement Techniques

White, D. ; Sharpe, R. ; Champagne, N.

Lawrence Livermore National Laboratory

关键词: Numerical Solution;    Dimensions;    Electrostatics;    Acoustics;    Elasticity;   

DOI  :  10.2172/792738
RP-ID  :  UCRL-ID-141669
RP-ID  :  W-7405-Eng-48
RP-ID  :  792738

美国|英语

来源: UNT Digital Library

【 摘 要 】

We are concerned with the numerical solution linear systems that arise from a hybridization of the Finite Element Method (FEM) and the Boundary Element Method (BEM). Our present focus is hybrid FEM-BEM discretization of the frequency-domain vector Helmholtz equation of electromagnetics, but similar hybrid techniques are used in electrostatics, acoustics, elasticity, etc. The hybrid FEM-BEM technique is used to solve ''open'' or ''infinite'' problems, where the FEM is used to discretize the interior of the problem and the BEM is used to simulate the effect of the infinite domain. This is illustrated generically in two dimensions in Figure 1 below. The FEM is applied to the interior V, the BEM is applied to the fictitious surface S, and the two methods are appropriately coupled to form a well-posed problem.