On a mixed discontinuous galerkin method

被引：0

作者：

Juntunen, Mika ^{[1
]}

Stenberg, Rolf ^{[1
]}

机构：

[1] Helsinki University of Technology, Institute of Mathematics, P.O. Box 1100, FI-02015 TKK, Finland

来源：

Electronic Transactions on Numerical Analysis | 2008年 / 32卷

关键词：

Error analysis;

D O I：

暂无

中图分类号：

O24 [计算数学];

学科分类号：

070102 ;

摘要：

For the model Poisson problem we study the stabilized Bassi-Rebay discontinuous Galerkin method. The method is written in a mixed formulation, in which independent and fully discontinuous basis functions are used both for the scalar unknown and its flux. The continuity requirement is imposed by Nitsche's technique [Abh. Math. Sem. Univ. Hamburg, 36 (1970/71), pp. 9-15]. In the implementation the flux is then eliminated by local condensing. We show that the method is stable and optimally convergent for all positive values of the stability parameter. We also perform an a posteriori error analysis. The theoretical results are verified by numerical computations. Copyright © 2008, Kent State University.

引用

页码：17 / 32