✦ LIBER ✦

Adaptive Coupling and Fast Solution of FEM–BEM Equations for Parabolic–Elliptic Interface Problems

✍ Scribed by Patrick Mund; Ernst P. Stephan

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 451 KB
Volume: 20
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19970325)20:5<403::aid-mma816>3.0.co;2-5

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✦ Synopsis

In this paper we prove an a posteriori error estimate for the symmetric coupling of finite elements and boundary elements applied to linear parabolic-elliptic interface problems. The discontinuous Galerkin method is used for the discretization in time. We present an adaptive algorithm for choosing the mesh size in space and time and we analyse the Hybrid Modified Conjugate Residual (HMCR) method as a solution method for the linear systems which arise. Computational results show that the number of HMCRiterations grows slowly with the problem size.