Solution of Hybrid FEM-BEM Systems via Schur Complement Techniques
- LLNL
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.
- Research Organization:
- Lawrence Livermore National Lab., CA (US)
- Sponsoring Organization:
- USDOE Office of Defense Programs (DP) (US)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 792738
- Report Number(s):
- UCRL-ID-141669
- Country of Publication:
- United States
- Language:
- English
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