Time and space adaptivity of the wave equation discretized in time by a second-order scheme

被引：7
|
作者：
Gorynina, Olga [1 ]
Lozinski, Alexei [1 ]
Picasso, Marco [2 ]
机构：
[1] Univ Bourgogne Franche Comte, Lab Math Besancon, UMR 6623, CNRS, 16 Route Gray, F-25030 Besancon, France
[2] Ecole Polytech Fed Lausanne, Inst Math, Stn 8, CH-1015 Lausanne, Switzerland
来源：
IMA JOURNAL OF NUMERICAL ANALYSIS | 2019年 / 39卷 / 04期
关键词：
a posteriori error bounds in time and space; wave equation; Newmark scheme; ANISOTROPIC ERROR ESTIMATOR; FINITE-ELEMENT METHODS; CRANK-NICOLSON METHOD;
D O I：
10.1093/imanum/dry048
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 obtain a posteriori error bounds of optimal order in time and space for the linear second-order wave equation discretized by the Newmark scheme in time and the finite element method in space. An error estimate is derived in the L-infinity-in-time/energy-in-space norm. Numerical experiments are reported for several test cases and confirm equivalence of the proposed estimator and the true error.
引用
收藏
页码：1672 / 1705
页数：34
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