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Boundary flux estimates for elliptic problems by the perturbed variational method

Schranken für die Normalableitung in elliptischen Problemen mit Hilfe der “gestörten Variationsmethode”

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Abstract

In this note we show that high order accurate approximations to the boundary flux are readily obtained by use of certain extrapolation process in the perturbed variational principle. QuasioptimalL 2 estimates for the error are obtained. Numerical results are presented for a model problem.

Zusammenfassung

In dieser Arbeit wird gezeigt, daß man scharfe Schranken für die Normalableitung durch die Anwendung eines Extrapolationsprozesses im gestörten Variationsprinzip erhalten kann. QuasioptimaleL 2-Schranken für den Fehler werden angegeben, sowie numerische Resultate in einem Modellproblem.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Cincinnati, 45221, Cincinnati, OH, USA

    J. Th. King

  2. Department of Mathematics, University of Tennessee, 37916, Knoxville, TN, USA

    St. M. Serbin

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  1. J. Th. King
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  2. St. M. Serbin
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King, J.T., Serbin, S.M. Boundary flux estimates for elliptic problems by the perturbed variational method. Computing 16, 339–347 (1976). https://doi.org/10.1007/BF02252082

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  • DOI: https://doi.org/10.1007/BF02252082

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