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A C 0 interior penalty method for a fourth‐order variational inequality of the second kind
Author(s) -
Gudi Thirupathi,
Porwal Kamana
Publication year - 2016
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21983
Subject(s) - a priori and a posteriori , mathematics , estimator , norm (philosophy) , penalty method , variational inequality , approximation error , partial differential equation , error analysis , order (exchange) , partial derivative , mathematical optimization , mathematical analysis , statistics , philosophy , epistemology , political science , law , finance , economics
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