东华大学学报(英文版)

2020, v.37(02) 130-136

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A Combined Finite Element Scheme for Second Elliptic Problems Posted in Domains with Rough Boundaries
A Combined Finite Element Scheme for Second Elliptic Problems Posted in Domains with Rough Boundaries

周迦南;黄磊;徐世鹏;

摘要(Abstract):

A finite element method(FEM) is proposed to solve second elliptic problems posted in domains with rough boundaries. We also present an FEM for elliptic problems as an extension of the original method. The optimal error estimates in the energy norm are also proved. Numerical results for second elliptic equations in regular and rough domains are presented to illustrate the efficiency of our method, respectively, which is consistent with theoretical analysis.

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基金项目(Foundation): National Natural Science Foundation of China(No.61802157);; Foundation of Jiangxi Technological Committee,China(No.20192BAB27004);; PhD Scientific Research Foundation of Jiangxi Science and Technology Normal University,China(No.2018BSQD009)

作者(Author): 周迦南;黄磊;徐世鹏;

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