Applied Numerical Mathematics

M. Aurada, S. Ferraz-Leite, P. Goldenits, M. Karkulik, M. Mayr, D. Praetorius

Research output: Contribution to conferencePaper

10 Citations (Scopus)

Abstract

For a boundary integral formulation of the 2D Laplace equation with mixed boundary conditions, we consider an adaptive Galerkin BEM based on an (h-h/2)-type error estimator. We include the resolution of the Dirichlet, Neumann, and volume data into the adaptive algorithm. In particular, an implementation of the developed algorithm has only to deal with discrete integral operators. We prove that the proposed adaptive scheme leads to a sequence of discrete solutions, for which the corresponding error estimators tend to zero. Under a saturation assumption for the non-perturbed problem which is observed empirically, the sequence of discrete solutions thus converges to the exact solution in the energy norm. © 2011 IMACS. Published by Elsevier B.V. All rights reserved.
Original languageEnglish
Pages226-245
Number of pages20
DOIs
Publication statusPublished - 1 Apr 2012
Externally publishedYes
Eventconference -
Duration: 1 Apr 2012 → …

Conference

Conferenceconference
Period1/04/12 → …

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  • Cite this

    Aurada, M., Ferraz-Leite, S., Goldenits, P., Karkulik, M., Mayr, M., & Praetorius, D. (2012). Applied Numerical Mathematics. 226-245. Paper presented at conference, . https://doi.org/10.1016/j.apnum.2011.03.008