Higher order weakly over-penalized symmetric interior penalty methods

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摘要

In this paper we study higher order weakly over-penalized symmetric interior penalty methods for second-order elliptic boundary value problems in two dimensions. We derive h–p error estimates in both the energy norm and the L2 norm and present numerical results that corroborate the theoretical results.

论文关键词：65N30,Interior penalty methods,Weak over-penalization,Higher order,h–p error estimates

论文评审过程：Received 3 August 2011, Revised 13 January 2012, Available online 31 January 2012.

论文官网地址：https://doi.org/10.1016/j.cam.2012.01.025