Adaptivity and Error Estimation for the Finite Element Method Applied to Convection Diffusion Problems

A detailed analysis is performed for a finite element method applied to the general one-dimensional convection diffusion problem. Piecewise polynomials are used for the trial space. The test space is formed by locally projecting L-spline basis functions onto "upwinded" polynomials. The err...

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Bibliographic Details
Published in:	SIAM journal on numerical analysis Vol. 21; no. 5; pp. 910 - 954
Main Authors:	Szymczak, W. G., Babuška, I.
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.10.1984
Subjects:	Approximation Boundary layers Convection Degrees of polynomials Error rates Estimates Estimation methods Estimators Exact sciences and technology Finite element analysis Finite element method Greens function Mathematics Methods Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Polynomials Sciences and techniques of general use Non linear equation Finite element method Second order equation Boundary value problem Error estimation Differential equation
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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