Exponential convergence of the hp-DGFEM for diffusion problems

被引：34
|
作者：
Wihler, TP [1 ]
Frauenfelder, P [1 ]
Schwab, C [1 ]
机构：
[1] Swiss Fed Inst Technol, Seminar Angew Mathemat, CH-8092 Zurich, Switzerland
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2003年 / 46卷 / 01期
关键词：
finite-element methods; discontinuous Galerkin methods; diffusion problems; exponential convergence; singularities in polygons;
D O I：
10.1016/S0898-1221(03)90088-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove exponential convergence of the hp-version of discontinuous Galerkin FEM on geometrically refined meshes in polygons. Several variants of interior penalization are covered. Numerical experiments indicate the sharpness of the theoretical results as well as the weak dependence of the DGFEM approximation on the particular choice of interior penalization and the penalty parameter. (C) 2003 Elsevier Science Ltd. All rights reserved.
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页码：183 / 205
页数：23
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