Finite Element Method with Patches for Poisson problems in polygonal domains
Journal
ESAIM refereed proceedings
Type
journal article
Date Issued
2007-12-04
Author(s)
Abstract
In this paper we consider the finite element approximation of the singularities of the solution of Poisson problems in a polygonal domain with reentrant corners or changing Dirichlet-Neumann boundary conditions. We use a correction algorithm with patches of elements to improve the a priori error estimates and to obtain the same order as the optimal estimate when everything is regular. We give an application of the correction method to the problem of glacier modeling.
Language
English
Keywords
a priori error estimate
multiplicative Schwarz algorithm
singularities of the solution of Poisson problems
glacier modeling
HSG Classification
contribution to scientific community
Refereed
Yes
Publisher
EDP Sciences
Number
21
Start page
45
End page
64
Pages
20
Subject(s)
Division(s)
Additional Information
Prof. Wagner is Professor at the HEC Lausanne; http://people.unil.ch/joelwagner; joel.wagner@unil.ch
Eprints ID
71492