Supercloseness Result of Higher Order FEM/LDG Coupled Method for Solving Singularly Perturbed Problem on S‐Type Mesh

Shenglan Xie, Huonian Tu and Peng Zhu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: we present a first supercloseness analysis for higher order FEM/LDG coupled method for solving singularly perturbed convection‐diffusion problem. Based on piecewise polynomial approximations of degree k (k ≥ 1), a supercloseness property of k + 1/2 in DG norm is established on S‐type mesh. Numerical experiments complement the theoretical results.

Date: 2014
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https://doi.org/10.1155/2014/260840

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:260840

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