An asymptotic finite element method for improvement of solutions of boundary layer problems

Pinchas Bar-Yoseph; Moshe Israeli

doi:10.1007/BF01389540

An asymptotic finite element method for improvement of solutions of boundary layer problems

Pinchas Bar-Yoseph, Moshe Israeli

Research output: Contribution to journal › Article › peer-review

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Abstract

A scheme that uses singular perturbation theory to improve the performance of existing finite element methods is presented. The proposed scheme improves the error bounds of the standard Galerkin finite element scheme by a factor of O(εⁿ⁺¹) (where ε 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.

Original language	English
Pages (from-to)	425-438
Number of pages	14
Journal	Numerische Mathematik
Volume	49
Issue number	4
DOIs	https://doi.org/10.1007/BF01389540
State	Published - Jul 1986
Externally published	Yes

Keywords

Subject Classifications: AMS(MOS): 65N30, CR: G1.8

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10.1007/BF01389540

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An asymptotic finite element method for improvement of solutions of boundary layer problems

Abstract

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