Premium
Implicit residual error estimators for the coupling of finite elements and boundary elements
Author(s) -
Brink Ulrich,
Stephan Ernst P.
Publication year - 1999
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19990725)22:11<923::aid-mma27>3.0.co;2-y
Subject(s) - finite element method , mathematics , estimator , a priori and a posteriori , method of mean weighted residuals , coupling (piping) , boundary (topology) , residual , galerkin method , monotone polygon , boundary value problem , domain (mathematical analysis) , computation , neumann boundary condition , operator (biology) , mathematical analysis , geometry , algorithm , physics , philosophy , repressor , chemistry , engineering , biochemistry , epistemology , transcription factor , thermodynamics , mechanical engineering , statistics , gene
We consider a symmetric Galerkin method for the coupling of finite elements and boundary elements for elliptic problems with a monotone operator in the finite element domain. We derive an a posteriori error estimator which involves the solution of equilibrated local Neumann problems in the finite element domain and requires computation of a residual term on the coupling interface. Finally, we discuss a similar approach for a coupling with Signorini contact conditions on the interface. Copyright © 1999 John Wiley & Sons, Ltd.