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Volume 8, Issue 2
A Finite Element Method for Elasticity Interface Problems with Locally Modified Triangulations

H. Xie, Z. Li & Z. Qiao

Int. J. Numer. Anal. Mod., 8 (2011), pp. 189-200.

Published online: 2011-08

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  • 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.

  • Keywords

elasticity interface problem, body-fitted mesh, Cartesian mesh, discontinuous coefficient, locally modified triangulation, finite element method, jump conditions.

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{IJNAM-8-189, author = {H. Xie, Z. Li and Z. Qiao}, title = {A Finite Element Method for Elasticity Interface Problems with Locally Modified Triangulations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2011}, volume = {8}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/681.html} }
TY - JOUR T1 - A Finite Element Method for Elasticity Interface Problems with Locally Modified Triangulations AU - H. Xie, Z. Li & Z. Qiao JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 189 EP - 200 PY - 2011 DA - 2011/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/681.html KW - elasticity interface problem, body-fitted mesh, Cartesian mesh, discontinuous coefficient, locally modified triangulation, finite element method, jump conditions. AB -

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.

H. Xie, Z. Li and Z. Qiao. (2011). A Finite Element Method for Elasticity Interface Problems with Locally Modified Triangulations. International Journal of Numerical Analysis and Modeling. 8 (2). 189-200. doi:
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