ADAPTIVE COUPLING AND FAST SOLUTION OF FEM-BEM EQUATIONS FOR PARABOLIC-ELLIPTIC INTERFACE PROBLEMS

Authors
MUND P STEPHAN EP
Citation
P. Mund et Ep. Stephan, ADAPTIVE COUPLING AND FAST SOLUTION OF FEM-BEM EQUATIONS FOR PARABOLIC-ELLIPTIC INTERFACE PROBLEMS, Mathematical methods in the applied sciences, 20(5), 1997, pp. 403-423
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
20
Issue
5
Year of publication
1997
Pages
403 - 423
Database
ISI
SICI code
0170-4214(1997)20:5<403:ACAFSO>2.0.ZU;2-G
Abstract
In this paper we prove an a posteriori error estimate for the symmetri c coupling of finite elements and boundary elements applied to linear parabolic-elliptic interface problems. The discontinuous Galerkin meth od is used for the discretization in time. We present an adaptive algo rithm for choosing the mesh size in space and time and we analyse the Hybrid Modified Conjugate Residual(HMCR) method as a solution method f or the linear systems which arise. Computational results show that the number of HMCR-iterations grows slowly with the problem size. (C) 199 7 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.