On the stability of the discontinuous Galerkin method for the heat equation

被引：40

作者：

Makridakis, CG

Babuska, I

机构：

[1] UNIV TENNESSEE, DEPT MATH, KNOXVILLE, TN 37996 USA

[2] UNIV MARYLAND, INST PHYS SCI & TECHNOL, COLLEGE PK, MD 20742 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1997年 / 34卷 / 01期

关键词：

finite elements; discontinuous Galerkin;

D O I：

10.1137/S0036142994261658

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

This paper analyzes stability properties of a class of discontinuous Galerkin methods for the heat equation. It is shown that the finite element projection associated with these methods is stable with respect to a mesh-dependent norm-a discrete analogue of the space-time L(2)-norm. Optimal order-regularity error bounds in L(2)([0, T]; L(2)(Omega)) are derived.

引用

页码：389 / 401

页数：13

共 16 条

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AZIZ AK, 1989, MATH COMPUT, V52, P255, DOI 10.1090/S0025-5718-1989-0983310-2

[2]

ANALYSIS OF MIXED METHODS USING MESH DEPENDENT NORMS [J].