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Optimal convergence rates of hp mortarfinite element methods for second-order elliptic problems

Published online by Cambridge University Press:  15 April 2002

Faker Ben Belgacem,
Padmanabhan Seshaiyer and
Manil Suri
Faker Ben Belgacem
Affiliation:
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. (belgacem@mip.ups-tlse.fr)
Padmanabhan Seshaiyer
Affiliation:
Department of Biomedical Engineering, 233 Zachry Engineering Center, Texas A & M University, College Station, Texas 77843-3120, U.S.A. (padhu@math.umbc.edu)
Manil Suri
Affiliation:
Department of Mathematics and Statistics, University of Maryland Baltimore County, Baltimore, Maryland 21250, U.S.A. (suri@math.umbc.edu)
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Abstract

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.

Keywords

Non conformingmortar methodhp finite elements

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Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 3 , May 2000, pp. 591 - 608
Copyright
© EDP Sciences, SMAI, 2000

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