Discontinuous Galerkin methods for solving the Signorini problem

Fei Wang; Weimin Han; Xiaoliang Cheng

doi:10.1093/imanum/drr010

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Discontinuous Galerkin methods for solving the Signorini problem

Journal article

Peer reviewed

Discontinuous Galerkin methods for solving the Signorini problem

Fei Wang, Weimin Han and Xiaoliang Cheng

IMA Journal of Numerical Analysis, Vol.31(4), pp.1754-1772

10/2011

DOI: 10.1093/imanum/drr010

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Abstract

We study several discontinuous Galerkin methods for solving the Signorini problem. A unified error analysis is provided for the methods. The error estimates are of optimal order for linear elements. A numerical example is reported to illustrate numerical convergence orders.

discontinuous Galerkin method

Signorini problem

error analysis

Details

Title: Subtitle: Discontinuous Galerkin methods for solving the Signorini problem
Creators: Fei Wang - School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China and Department of Mathematics, Zhejiang University, Hangzhou 310027, China
Weimin Han - Department of Mathematics and Program in Applied Mathematical and Computational Sciences, University of Iowa, Iowa City, IA 52242, USA
Xiaoliang Cheng - Department of Mathematics, Zhejiang University, Hangzhou 310027, China
Resource Type: Journal article
Publication Details: IMA Journal of Numerical Analysis, Vol.31(4), pp.1754-1772
Publisher: Oxford University Press
DOI: 10.1093/imanum/drr010
ISSN: 0272-4979
eISSN: 1464-3642
Language: English
Date published: 10/2011
Academic Unit: Mathematics
Record Identifier: 9983985873402771

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