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

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Abstract

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 equation jump condition matrix coefficient imperfect contact.
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DOI

10.4208/aamm.2015.m1236

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[1]
2018. A Weak Formulation for Solving the Elliptic Interface Problems with Imperfect Contact. Advances in Applied Mathematics and Mechanics. 9, 5 (May 2018), 1189–1205. DOI:https://doi.org/10.4208/aamm.2015.m1236.