A C-0 Interior Penalty Method for a Fourth-order Variational Inequality of the Second Kind

作者：Gudi Thirupathi^*; Porwal Kamana

来源：Numerical Methods for Partial Differential Equations, 2016, 32(1): 36-59.

DOI：10.1002/num.21983

• finite element
• (CIP)-I-0
• frictional contact problem
• variational inequalities
• adaptive fem

In this article, we propose a C-0 interior penalty ((CIP)-I-0) 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.

• 出版日期2016-1