Time and space adaptivity for the second-order wave equation

被引：41

作者：

Bernardi, C

Süli, E

机构：

[1] CNRS, F-75252 Paris 05, France

[2] Univ Paris 06, F-75252 Paris 05, France

[3] Univ Oxford, Comp Lab, Oxford OX1 3QD, England

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2005年 / 15卷 / 02期

关键词：

wave equation; backward Euler scheme; finite elements; error indicators;

D O I：

10.1142/S0218202505000339

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 show that, for a linear second-order hyperbolic equation discretized by the backward Euler scheme in time and continuous piecewise affine finite elements in space, the adaptation of the time steps can be combined with spatial mesh adaptivity in an optimal way. We derive a priori and a posteriori error estimates which admit, as much as it is possible, the decoupling of the errors committed in the temporal and spatial discretizations.

引用

页码：199 / 225

页数：27

共 21 条

[1] A posteriori finite element error estimation for second-order hyperbolic problems [J].