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Supercloseness result of higher order FEM/LDG coupled method for solving singularly perturbed problem on S-type mesh - MaRDI portal

Supercloseness result of higher order FEM/LDG coupled method for solving singularly perturbed problem on S-type mesh (Q1722486)

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scientific article; zbMATH DE number 7022032
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Supercloseness result of higher order FEM/LDG coupled method for solving singularly perturbed problem on S-type mesh
scientific article; zbMATH DE number 7022032

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    Supercloseness result of higher order FEM/LDG coupled method for solving singularly perturbed problem on S-type mesh (English)
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    14 February 2019
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    Summary: 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 \(k\) (\(k \geq 1\)), a supercloseness property of \(k + 1 / 2\) in DG norm is established on S-type mesh. Numerical experiments complement the theoretical results.
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