Journal article
Discontinuous Galerkin methods for solving a quasistatic contact problem
Numerische Mathematik, Vol.126(4), pp.771-800
04/2014
DOI: 10.1007/s00211-013-0574-0
Abstract
We consider the numerical solution of a nonlinear evolutionary variational inequality, arising in the study of quasistatic contact problems. We study spatially semi-discrete and fully discrete schemes for the problem with several discontinuous Galerkin discretizations in space and finite difference discretization in time. Under appropriate regularity assumptions on the solution, a unified error analysis is established for the schemes, reaching the optimal convergence order for linear elements. Numerical results are presented on a two dimensional test problem to illustrate numerical convergence orders.
Details
- Title: Subtitle
- Discontinuous Galerkin methods for solving a quasistatic contact problem
- Creators
- Fei Wang - Department of Mathematics University of Iowa Iowa City IA 52242 USAWeimin Han - Program in Applied Mathematical and Computational Sciences University of Iowa Iowa City IA 52242 USAXiaoliang Cheng - Department of Mathematics Zhejiang University Hangzhou 310027 China
- Resource Type
- Journal article
- Publication Details
- Numerische Mathematik, Vol.126(4), pp.771-800
- Publisher
- Springer Berlin Heidelberg; Berlin/Heidelberg
- DOI
- 10.1007/s00211-013-0574-0
- ISSN
- 0029-599X
- eISSN
- 0945-3245
- Language
- English
- Date published
- 04/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9983985945002771
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