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Superconvergence analysis of flux computations for nonlinear problems

Published online by Cambridge University Press:  17 April 2009

S.-S. Chow  and
R.D. Lazarov
S.-S. Chow
Affiliation:
Department of MathematicsUniversity of WyomingLaramie, United States of America
R.D. Lazarov
Affiliation:
Bulgarian Academy of SciencesInstitute of MathematicsSofia, Bulgaria
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Abstract

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In this paper we consider the error estimates for some boundary-flux calculation procedures applied to two-point semilinear and strongly nonlinear elliptic boundary value problems. The case of semilinear parabolic problems is also studied. We prove that the computed flux is superconvergent with second and third order of convergence for linear and quadratic elements respectively. Corresponding estimates for higher order elements may also be obtained by following the general line of argument.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 3 , December 1989 , pp. 465 - 479
Copyright
Copyright © Australian Mathematical Society 1989

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