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

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【作者】 周迦南黄磊徐世鹏

【Author】 ZHOU Jianan;HUANG Lei;XU Shipeng;School of Mathematics and Computer Science ,Jiangxi Science and Technology Normal University;

【通讯作者】 徐世鹏;

【机构】 School of Mathematics and Computer Science ,Jiangxi Science and Technology Normal University

【摘要】 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.

【基金】 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)
  • 【分类号】O241.82
  • 【下载频次】4
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