An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection-diffusion problems

13Citations
Citations of this article
16Readers
Mendeley users who have this article in their library.

Abstract

We present a new overlapping Dirichlet/Robin Domain Decomposition method. The method uses Dirichlet and Robin transmission conditions on the interfaces of an overlapping partitioning of the computational domain. We derive interface equations to study the convergence of the method and show its properties through four numerical examples. The mathematical framework is general and can be applied to derive overlapping versions of all the classical nonoverlapping methods. © 2003 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Houzeaux, G., & Codina, R. (2003). An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection-diffusion problems. Journal of Computational and Applied Mathematics, 158(2), 243–276. https://doi.org/10.1016/S0377-0427(03)00447-3

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free