A posteriori error estimation for hp-version time-stepping methods for parabolic partial differential equations

被引：31
作者：
Schoetzau, Dominik [2 ]
Wihler, Thomas P. [1 ]
机构：
[1] Univ Bern, Math Inst, CH-3012 Bern, Switzerland
[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
来源：
NUMERISCHE MATHEMATIK | 2010年 / 115卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
FINITE-ELEMENT METHODS; INITIAL-VALUE-PROBLEMS; DISCONTINUOUS GALERKIN METHODS; INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL-SOLUTION;
D O I：
10.1007/s00211-009-0285-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to develop an hp-version a posteriori error analysis for the time discretization of parabolic problems by the continuous Galerkin (cG) and the discontinuous Galerkin (dG) time-stepping methods, respectively. The resulting error estimators are fully explicit with respect to the local time-steps and approximation orders. Their performance within an hp-adaptive refinement procedure is illustrated with a series of numerical experiments.
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页码：475 / 509
页数：35
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