An optimal two-side Robin-Robin domain decomposition method for H(div)-elliptic problem
Numerical Analysis
2025-06-17 v1 Numerical Analysis
Abstract
In this paper, we develop a new two-side Robin-Robin domain decomposition method for H(div)-elliptic problem. Numerical results show that the convergence rate of the new algorithm only depends on , where is diameter of subdomains and is the mesh size. Besides, an algebraic system of Robin boundary conditions is derived from the iterative method. We solve it by MINRES and get asymptotically stable iteration numbers as well.
Cite
@article{arxiv.2506.12485,
title = {An optimal two-side Robin-Robin domain decomposition method for H(div)-elliptic problem},
author = {Na Xuyang},
journal= {arXiv preprint arXiv:2506.12485},
year = {2025}
}