A singularly perturbed problem with two parameters on a Bakhvalov-type mesh

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• 作者：Mirjana Brdar^a ; ^{mbrdar@tf.uns.ac.rs" class="auth_mail" title="E-mail the corresponding author} ; Helena Zarin^b ; ^{helena.zarin@dmi.uns.ac.rs" class="auth_mail" title="E-mail the corresponding author}
• 关键词：65L11 ; 65L20 ; 65L60 ; 65L70
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2016
• 出版时间：15 January 2016
• 年：2016
• 卷：292
• 期：Complete
• 页码：307-319
• 全文大小：458 K

文摘

A singularly perturbed problem with two small parameters is considered. On a Bakhvalov-type mesh we prove uniform convergence of a Galerkin finite element method with piecewise linear functions. Arguments in the error analysis include interpolation error bounds for a Clément quasi-interpolant as well as discretization error estimates in an energy norm. Numerical experiments support theoretical findings.