Abstract
AbstractWe develop error estimates for the finite element approximation of elliptic partial differential equations on perturbed domains, i.e. when the computational domain does not match the real geometry. The result shows that the error related to the domain can be a dominating factor in the finite element discretization error. The main result consists of $$H^1$$
H
1
- and $$L^2$$
L
2
-error estimates for the Laplace problem. Theoretical considerations are validated by a computational example.
Funder
Bundesministerium für Bildung und Forschung
Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
Subject
Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis
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