A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation

被引：5
|
作者：
Saedpanah, Fardin [1 ]
机构：
[1] Univ Kurdistan, Dept Math, Sanandaj, Iran
来源：
BIT NUMERICAL MATHEMATICS | 2013年 / 53卷 / 03期
关键词：
Integro-differential equation; Continuous Galerkin finite element method; Convolution kernel; Stability; A posteriori estimate; ADAPTIVE DISCRETIZATION; EVOLUTION EQUATION;
D O I：
10.1007/s10543-013-0424-6
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error representations based on space-time cells is presented such that it can be used for adaptive strategies based on dual weighted residual methods. A posteriori error estimates based on weighted global projections and local projections are also proved.
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页码：689 / 716
页数：28
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