Year: 2011
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 2 : pp. 189–200
Abstract
A finite element method for elasticity systems with discontinuities in the coefficients and the flux across an arbitrary interface is proposed in this paper. The method is based on a Cartesian mesh with local modifications to the mesh. The total degrees of the freedom of the finite element method remains the same as that of the Cartesian mesh. The local modifications lead to a quasi-uniform body-fitted mesh from the original Cartesian mesh. The standard finite element theory and implementation are applicable. Numerical examples that involve discontinuous material coefficients and non-homogeneous jump in the flux across the interface demonstrate the efficiency of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-681
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 2 : pp. 189–200
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: elasticity interface problem body-fitted mesh Cartesian mesh discontinuous coefficient locally modified triangulation finite element method jump conditions.