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Volume 9, Issue 1
Conservative domain decomposition procedure for the variable coefficient diffusion equation

RuiyiWang and Yang Zhang

J. Info. Comput. Sci. , 9 (2014), pp. 022-030.

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  • Abstract
The conservative domain decomposition procedure for solving the variable coefficient diffusion equation is presented. In this procedure, the fluxes at the interface of subdomains are properly defined, which results in the unconditional stability of the procedure. Numerical results examining the stability, the second- order accuracy of solution values as well as fluxes, and parallelism of the procedure are also presented.
  • Keywords

Diffusion equation finite difference domain decomposition unconditional stability variable coefficient.

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@Article{JICS-9-022, author = {RuiyiWang and Yang Zhang}, title = {Conservative domain decomposition procedure for the variable coefficient diffusion equation}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {9}, number = {1}, pages = {022--030}, abstract = {The conservative domain decomposition procedure for solving the variable coefficient diffusion equation is presented. In this procedure, the fluxes at the interface of subdomains are properly defined, which results in the unconditional stability of the procedure. Numerical results examining the stability, the second- order accuracy of solution values as well as fluxes, and parallelism of the procedure are also presented. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22593.html} }
TY - JOUR T1 - Conservative domain decomposition procedure for the variable coefficient diffusion equation AU - RuiyiWang and Yang Zhang JO - Journal of Information and Computing Science VL - 1 SP - 022 EP - 030 PY - 2024 DA - 2024/01 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22593.html KW - Diffusion equation KW - finite difference KW - domain decomposition KW - unconditional stability KW - variable coefficient. AB - The conservative domain decomposition procedure for solving the variable coefficient diffusion equation is presented. In this procedure, the fluxes at the interface of subdomains are properly defined, which results in the unconditional stability of the procedure. Numerical results examining the stability, the second- order accuracy of solution values as well as fluxes, and parallelism of the procedure are also presented.
RuiyiWang and Yang Zhang. (2024). Conservative domain decomposition procedure for the variable coefficient diffusion equation. Journal of Information and Computing Science. 9 (1). 022-030. doi:
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