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• W2044876868 abstract "For Poisson's equation over a polygonal domain of general shape, the solution of which may have a singularity around re-entrant corners, we provide an explicit a priori error estimate for the approximate solution obtained by finite element methods of high degree. The method used herein is a direct extension of the one developed in preceding paper of the second and third listed authors, which provided a new approach to deal with the singularity by using linear finite elements. In the present paper, we also give a detailed discussion of the dependency of the convergence order on solution singularities, mesh sizes and degrees of the finite element method used." @default.
• W2044876868 created "2016-06-24" @default.
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• W2044876868 date "2014-01-01" @default.
• W2044876868 modified "2023-10-18" @default.
• W2044876868 title "Remarks on computable a priori error estimates for finite element solutions of elliptic problems" @default.
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• W2044876868 doi "https://doi.org/10.1587/nolta.5.53" @default.
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