Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations

被引：143

作者：

Burman, Erik

Ern, Alexandre

机构：

[1] Ecole Polytech Fed Lausanne, IACS, CMCS, Inst Anal & Calcul Sci, CH-1015 Lausanne, Switzerland

[2] ParisTech, Ecole Ponts, CERMICS, F-77445 Marne La Vallee 2, France

来源：

MATHEMATICS OF COMPUTATION | 2007年 / 76卷 / 259期

关键词：

continuous interior penalty; hp-finite element method; convection-diffusion; hp-interpolation and projection; hp-inverse trace inequality;

D O I：

10.1090/S0025-5718-07-01951-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A continuous interior penalty hp-finite element method that penalizes the jump of the gradient of the discrete solution across mesh interfaces is introduced. Error estimates are obtained for advection and advection-diffusion equations. The analysis relies on three technical results that are of independent interest: an hp-inverse trace inequality, a local discontinuous to continuous hp-interpolation result, and hp-error estimates for continuous L-2-orthogonal projections.

引用

页码：1119 / 1140

页数：22

共 26 条

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