hp-discontinuous Galerkin time-stepping for parabolic problems

被引：21

作者：

Schötzau, D ^{[1
]}

Schwab, C

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] ETH Zurich, Seminar Appl Math, CH-8092 Zurich, Switzerland

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2001年 / 333卷 / 12期

关键词：

D O I：

10.1016/S0764-4442(01)02186-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the hp-version of the discontinuous Galerkin (DG) time-stepping method for linear parabolic problems with non-symmetric elliptic spatial operators. We derive new analyticity estimates for the exact solutions by means of semi.-roup techniques. These estimates allow us to show that the hp-DG time-stepping method can resolve start-up singularities at exponential rates of convergence. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：1121 / 1126

页数：6

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