Asymptotic finite element method for boundary layer problems.

P. Bar-Yoseph, A. Ostronov, M. Israeli

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


A scheme that uses singular perturbation theory to improve the performance of existing finite element methods is presented. The proposed scheme improves the L error bound of the standard Galerkin finite element scheme by a factor of 0(EPSILON SUP n SUP + SUP 1) (where EPSILON is the 'small' parameter and n is the order of the asymptotic approximation). Numerical results for linear second order O.D.E.'s are given and are compared with several other schemes. (A)

Original languageEnglish
Title of host publicationUnknown Host Publication Title
PublisherPineridge Press Ltd
ISBN (Print)0906674220, 9780906674222
StatePublished - 1983


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