Finite element methods for a singularly perturbed transmission problem

DOI10.1515/JNUM.2009.013zbMath1184.65077MaRDI QIDQ3401149

Serge Nicaise, Christos Xenophontos

Publication date: 29 January 2010

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular perturbationfinite element methodnumerical examplesboundary layerstransmission problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15)

Related Items (1)

Robust coupling of DPG and BEM for a singularly perturbed transmission problem

Cites Work

• On the smoothed finite element method (Int. J. Numer. Meth. Engng2008;76:1285-1295 (DOI: 10.1002/nme.2460))
• On the robust exponential convergence of hp finite element methods for problems with boundary layers
• The $p$ and $hp$ versions of the finite element method for problems with boundary layers

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