Numerical approximation of one-dimensional stationary diffusion equations with boundary layers

DOI10.1016/S0045-7930(01)00060-3zbMath1004.76049WikidataQ128202805 ScholiaQ128202805MaRDI QIDQ1598006

Wenfang (Wendy) Cheng, Roger M. Temam

Publication date: 6 February 2003

Published in: Computers and Fluids (Search for Journal in Brave)

zbMATH Keywords

finite elementsboundary layerscorrectorsingular problemsboundary layer expansionFriedrich's equationone-dimensional stationary diffuson equations

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

• Unnamed Item
• Matched asymptotic expansions. Ideas and techniques
• New approximation algorithms for a class of partial differential equations displaying boundary layer behavior
• Singular perturbations