Volume 34, Number 3, May/june 2000
|Page(s)||591 - 608|
|Published online||15 April 2002|
Optimal convergence rates of hp mortar finite element methods for second-order elliptic problems
Mathématiques pour l'industrie et la physique,
Unité mixte de recherche CNRS-UPS-INSAT-UT1 (UMR 5640),
Université Paul Sabatier, 118 route de Narbonne,
31062 Toulouse Cedex 04, France. (email@example.com)
2 Department of Biomedical Engineering, 233 Zachry Engineering Center, Texas A & M University, College Station, Texas 77843-3120, U.S.A. (firstname.lastname@example.org)
3 Department of Mathematics and Statistics, University of Maryland Baltimore County, Baltimore, Maryland 21250, U.S.A. (email@example.com)
We present an improved, near-optimal hp error estimate for a non-conforming finite element method, called the mortar method (M0). We also present a new hp mortaring technique, called the mortar method (MP), and derive h, p and hp error estimates for it, in the presence of quasiuniform and non-quasiuniform meshes. Our theoretical results, augmented by the computational evidence we present, show that like (M0), (MP) is also a viable mortaring technique for the hp method.
Mathematics Subject Classification: 65N30 / 65N15
Key words: Non conforming / mortar method / hp finite elements
© EDP Sciences, SMAI, 2000
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