Gudi, Thirupathi ; Porwal, Kamana (2015) A C0 interior penalty method for a fourth‐order variational inequality of the second kind Numerical Methods for Partial Differential Equations, 32 (1). pp. 36-59. ISSN 0749-159X
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Official URL: https://doi.org/10.1002/num.21983
Related URL: http://dx.doi.org/10.1002/num.21983
Abstract
In this article, we propose a C0 interior penalty (C0 I P) method for the frictional plate contact problem and derive both a priori and a posteriori error estimates. We derive an abstract error estimate in the energy norm without additional regularity assumption on the exact solution. The a priori error estimate is of optimal order whenever the solution is regular. Further, we derive a reliable and efficient a posteriori error estimator. Numerical experiments are presented to illustrate the theoretical results. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 36–59, 2016
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to John Wiley and Sons. |
| ID Code: | 141588 |
| Deposited On: | 02 Dec 2025 07:50 |
| Last Modified: | 02 Dec 2025 07:50 |
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