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A Weak Formulation for Solving the Elliptic Interface Problems with Imperfect Contact

Part of: Partial differential equations, boundary value problems

Published online by Cambridge University Press:  11 July 2017

Liqun Wang ,
Songming Hou  and
Liwei Shi
Liqun Wang*
Affiliation:
Department of Mathematics, College of Science, China University of Petroleum (Beijing), Beijing 102249, China
Songming Hou*
Affiliation:
Department of Mathematics and Statistics, Louisiana Tech University, Ruston, LA 71272, USA
Liwei Shi*
Affiliation:
Department of Science and Technology Teaching, China University of Political Science and Law, Beijing 102249, China
*
*Corresponding author. Email:wliqunhmily@gmail.com (L. Q. Wang), shou@latech.edu (S. M. Hou), sliweihmily@gmail.com (L. W. Shi)
*Corresponding author. Email:wliqunhmily@gmail.com (L. Q. Wang), shou@latech.edu (S. M. Hou), sliweihmily@gmail.com (L. W. Shi)
*Corresponding author. Email:wliqunhmily@gmail.com (L. Q. Wang), shou@latech.edu (S. M. Hou), sliweihmily@gmail.com (L. W. Shi)

Abstract

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We propose a non-traditional finite element method with non-body-fitting grids to solve the matrix coefficient elliptic equations with imperfect contact in two dimensions, which has not been well-studied in the literature. Numerical experiments demonstrated the effectiveness of our method.

Keywords

Elliptic equationjump conditionmatrix coefficientimperfect contact

MSC classification

Secondary: 65N30: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

Information

Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 5 , October 2017 , pp. 1189 - 1205
Copyright
Copyright © Global-Science Press 2017 

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