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POSTPROCESSING FOR GUARANTEED ERROR BOUND BASED ON EQUILIBRATED FLUXES

김광연
대한수학회 (The Korean Mathematical Society)|2015.09|대한수학회지 (Journal of the KMS)|제52권 제5호|pp. 891-906

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참고문헌

키워드

asymptotic exactnessa posteriori error estimationsuperconvergenceequilibrated fluxesguaranteed error bound
주제분류수학

초록

In this work we analyze a postprocessing scheme for improving the guaranteed error bound based on the equilibrated fluxes for the P1 conforming FEM. The improved error bound is shown to be asymptotically exact under suitable conditions on the triangulations and the regularity of the true solution. We also present some numerical results to illustrate the effect of the postprocessing scheme.

Abstract

In this work we analyze a postprocessing scheme for improving the guaranteed error bound based on the equilibrated fluxes for the P1 conforming FEM. The improved error bound is shown to be asymptotically exact under suitable conditions on the triangulations and the regularity of the true solution. We also present some numerical results to illustrate the effect of the postprocessing scheme.

참고문헌 (23)

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