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Volume 16, Issue 1
Reliable and Efficient a Posteriori Error Estimates of DG Methods for a Simplified Frictional Contact Problem

Fei Wang & Weimin Han

Int. J. Numer. Anal. Mod., 16 (2019), pp. 49-62.

Published online: 2018-10

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  • Abstract

A posteriori error estimators are studied for discontinuous Galerkin methods for solving a representative elliptic variational inequality of the second kind, known as a simplified frictional contact problem. The estimators are derived by relating the error of the variational inequality to that of a linear problem. Reliability and efficiency of the estimators are theoretically proved.

  • Keywords

Elliptic variational inequality, discontinuous Galerkin method, a posteriori error estimators, reliability, efficiency.

  • AMS Subject Headings

65N15, 65N30, 49J40

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

feiwang.xjtu@xjtu.edu.cn (Fei Wang)

weimin-han@uiowa.edu (Weimin Han)

  • BibTex
  • RIS
  • TXT
@Article{IJNAM-16-49, author = {Wang , Fei and Han , Weimin}, title = {Reliable and Efficient a Posteriori Error Estimates of DG Methods for a Simplified Frictional Contact Problem}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {16}, number = {1}, pages = {49--62}, abstract = {

A posteriori error estimators are studied for discontinuous Galerkin methods for solving a representative elliptic variational inequality of the second kind, known as a simplified frictional contact problem. The estimators are derived by relating the error of the variational inequality to that of a linear problem. Reliability and efficiency of the estimators are theoretically proved.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/12793.html} }
TY - JOUR T1 - Reliable and Efficient a Posteriori Error Estimates of DG Methods for a Simplified Frictional Contact Problem AU - Wang , Fei AU - Han , Weimin JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 49 EP - 62 PY - 2018 DA - 2018/10 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/12793.html KW - Elliptic variational inequality, discontinuous Galerkin method, a posteriori error estimators, reliability, efficiency. AB -

A posteriori error estimators are studied for discontinuous Galerkin methods for solving a representative elliptic variational inequality of the second kind, known as a simplified frictional contact problem. The estimators are derived by relating the error of the variational inequality to that of a linear problem. Reliability and efficiency of the estimators are theoretically proved.

Fei Wang & Weimin Han. (2020). Reliable and Efficient a Posteriori Error Estimates of DG Methods for a Simplified Frictional Contact Problem. International Journal of Numerical Analysis and Modeling. 16 (1). 49-62. doi:
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