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Volume 8, Issue 4
Non-Conforming Domain Decomposition with Hybrid Method

Guo-Ping Liang & Ping Liang

J. Comp. Math., 8 (1990), pp. 363-370.

Published online: 1990-08

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  • Abstract

We present a non-conforming domain decomposition technique for solving elliptic problems with the finite element method. Functions in the finite element space associated with this method may be discontinuous on the boundary of subdomains. The sizes of the finite meshes, the kinds of elements and the kinds of interpolation functions may be different in different subdomains. So, this method is more convenient and more efficient than the conforming domain decomposition method. We prove that the solution obtained by this method has the same convergence rate as by the conforming method, and both the condition number and the order of the capacitance matrix are much lower than those in the conforming case.

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@Article{JCM-8-363, author = {Liang , Guo-Ping and Liang , Ping}, title = {Non-Conforming Domain Decomposition with Hybrid Method}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {4}, pages = {363--370}, abstract = {

We present a non-conforming domain decomposition technique for solving elliptic problems with the finite element method. Functions in the finite element space associated with this method may be discontinuous on the boundary of subdomains. The sizes of the finite meshes, the kinds of elements and the kinds of interpolation functions may be different in different subdomains. So, this method is more convenient and more efficient than the conforming domain decomposition method. We prove that the solution obtained by this method has the same convergence rate as by the conforming method, and both the condition number and the order of the capacitance matrix are much lower than those in the conforming case.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9448.html} }
TY - JOUR T1 - Non-Conforming Domain Decomposition with Hybrid Method AU - Liang , Guo-Ping AU - Liang , Ping JO - Journal of Computational Mathematics VL - 4 SP - 363 EP - 370 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9448.html KW - AB -

We present a non-conforming domain decomposition technique for solving elliptic problems with the finite element method. Functions in the finite element space associated with this method may be discontinuous on the boundary of subdomains. The sizes of the finite meshes, the kinds of elements and the kinds of interpolation functions may be different in different subdomains. So, this method is more convenient and more efficient than the conforming domain decomposition method. We prove that the solution obtained by this method has the same convergence rate as by the conforming method, and both the condition number and the order of the capacitance matrix are much lower than those in the conforming case.

Liang , Guo-Ping and Liang , Ping. (1990). Non-Conforming Domain Decomposition with Hybrid Method. Journal of Computational Mathematics. 8 (4). 363-370. doi:
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