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- W2014282387 abstract "This paper presents a superconvergence analysis for the Shortley–Weller finite difference approximation of second-order self-adjoint elliptic equations with unbounded derivatives on a polygonal domain with the mixed type of boundary conditions. In this analysis, we first formulate the method as a special finite element/volume method. We then analyze the convergence of the method in a finite element framework. An O(h 1.5)-order superconvergence of the solution derivatives in a discrete H 1 norm is obtained. Finally, numerical experiments are provided to support the theoretical convergence rate obtained." @default.
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- W2014282387 date "2008-02-18" @default.
- W2014282387 modified "2023-09-23" @default.
- W2014282387 title "Superconvergence of Solution Derivatives of the Shortley–Weller Difference Approximation to Elliptic Equations with Singularities Involving the Mixed Type of Boundary Conditions" @default.
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- W2014282387 doi "https://doi.org/10.1080/01630560701872490" @default.
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