Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation

Michael Feischl, Thomas Führer, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

© 2013, Springer-Verlag Italia. We analyze an adaptive boundary element method for Symm’s integral equation in 2D and 3D which incorporates the approximation of the Dirichlet data g into the adaptive scheme. We prove quasi-optimal convergence rates for any H1/2-stable projection used for data approximation.
Original languageEnglish
Pages (from-to)531-562
Number of pages32
JournalCalcolo
DOIs
Publication statusPublished - 1 Jan 2013
Externally publishedYes

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