A C0 interior penalty method for a fourth‐order variational inequality of the second kind. Issue 1 (2nd June 2015)

• Record Type: Journal Article
• Authors: Gudi, Thirupathi; Porwal, Kamana
• Is Part Of: Numerical methods for partial differential equations. Volume 32:Issue 1(2016)
• Page Start: 36
• Page End: 59
• Publication Date: 2015-06-02
• Subjects: finite element -- C0IP -- frictional contact problem -- variational inequalities -- adaptive fem; Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.21983
• Languages: English
• ISSNs: 0749-159X

Abstract

Abstract : In this article, we propose a C 0 interior penalty ( C 0 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