Convergence of an adaptive hp finite element strategy in higher space-dimensions

Authors:
M. BüRg;W. DöRfler
Affiliations:
Karlsruhe Institute of Technology, Department of Mathematics, D-76128 Karlsruhe, Germany;Karlsruhe Institute of Technology, Department of Mathematics, D-76128 Karlsruhe, Germany
Venue:
Applied Numerical Mathematics
Year:
2011

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Abstract

We show convergence in the energy norm for an automatic hp-adaptive refinement strategy for finite elements on the elliptic boundary value problem. The result is a generalization of a marking strategy, which was proposed in one space-dimension, to problems in two- and three-dimensional spaces.