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POSTPROCESSING FOR GUARANTEED ERROR BOUND BASED ON EQUILIBRATED FLUXES
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0초록
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.
키워드
a posteriori error estimation; equilibrated fluxes; guaranteed error bound; asymptotic exactness; superconvergence; ASYMPTOTIC EXACTNESS; ESTIMATORS; GRADIENT
- 제목
- POSTPROCESSING FOR GUARANTEED ERROR BOUND BASED ON EQUILIBRATED FLUXES
- 저자
- Kim, Kwang-Yeon
- 발행일
- 2015-09
- 유형
- Article
- 저널명
- 대한수학회지
- 권
- 52
- 호
- 5
- 페이지
- 891 ~ 906