New a posteriori error estimates for singular boundary value problems

被引：0
作者：
Winfried Auzinger
Othmar Koch
Dirk Praetorius
Ewa Weinmüller
机构：
[1] Vienna University of Technology,
来源：
Numerical Algorithms | 2005年 / 40卷
关键词：
collocation; essential singularity; boundary value problems; ordinary differential equations; a posteriori error estimation; defect correction;
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学科分类号：
摘要：
In this paper, we discuss the asymptotic properties and efficiency of several a posteriori estimates for the global error of collocation methods. Proofs of the asymptotic correctness are given for regular problems and for problems with a singularity of the first kind. We were also strongly interested in finding out which of our error estimates can be applied for the efficient solution of boundary value problems in ordinary differential equations with an essential singularity. Particularly, we compare estimates based on the defect correction principle with a strategy based on mesh halving.
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页码：79 / 100
页数：21
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