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

Shenglan Xie; Huonian Tu; Peng Zhu

doi:10.1155/2014/260840

Abstract and Applied Analysis (Jan 2014)

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

Shenglan Xie,
Huonian Tu,
Peng Zhu

Affiliations

Shenglan Xie: School of Mathematics, Physics and Information, Jiaxing University, Jiaxing, Zhejiang 314001, China
Huonian Tu: School of Information and Statistics, Guangxi University of Finance and Economics, Nanning, Guangxi 530003, China
Peng Zhu: School of Mathematics, Physics and Information, Jiaxing University, Jiaxing, Zhejiang 314001, China

DOI: https://doi.org/10.1155/2014/260840
Journal volume & issue: Vol. 2014

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/aaa/

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