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
收藏
页码：1121 / 1126
页数：6
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