2010•Journal of Hengyang Normal UniversityRequires access

The Derivative Superconvergence of Higher Degree Rectangular Finite Element with Non-smooth Solution

Wei Ji-dong

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Abstract

For no-smooth solution(u∈H′),we define a new kind of error order by using projection type interpolation expansion.By which we obtained a derivative superconvergence result for higher-degree rectangular finite element with nonsmooth solution.

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What this paper is about

For no-smooth solution(u∈H′),we define a new kind of error order by using projection type interpolation expansion.By which we obtained a derivative superconvergence result for higher-degree rectangular finite element with nonsmooth solution.

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Available abstract

For no-smooth solution(u∈H′),we define a new kind of error order by using projection type interpolation expansion.By which we obtained a derivative superconvergence result for higher-degree rectangular finite element with nonsmooth solution.

Key concepts: Superconvergence, Mathematics, Finite element method, Interpolation (computer graphics), Degree (music), Derivative (finance), Mathematical analysis, Projection (relational algebra)

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