An hp-Analysis of the Local Discontinuous Galerkin Method for Diffusion Problems

被引：0

作者：

Ilaria Perugia

Dominik Schötzau

机构：

[1] University of Pavia,Department of Mathematics

[2] Via Ferrata 1,undefined

来源：

Journal of Scientific Computing | 2002年 / 17卷

关键词：

-FEM; local discontinuous Galerkin methods;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present an hp-error analysis of the local discontinuous Galerkin method for diffusion problems, considering unstructured meshes with hanging nodes and two- and three-dimensional domains. Our estimates are optimal in the meshsize h and slightly suboptimal in the polynomial approximation order p. Optimality in p is achieved for matching grids and polynomial boundary conditions.

引用

页码：561 / 571

页数：10

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