Overlapping Optimized Schwarz Methods for Parabolic Equations in n-Dimensions
arXiv:1008.08067 citationsh-index: 15
Originality Synthesis-oriented
AI Analysis
Provides a theoretical convergence proof for a class of domain decomposition methods, relevant to numerical analysts working on parallel solvers for parabolic PDEs.
The paper introduces a new tool to prove convergence of Overlapping Optimized Schwarz Methods for n-dimensional linear parabolic equations with multisubdomains, using error estimates on overlapping strip boundaries.
We introduce in this paper a new tool to prove the convergence of the Overlapping Optimized Schwarz Methods with multisubdomains. The technique is based on some estimates of the errors on the boundaries of the overlapping strips. Our guiding example is an n-Dimensional Linear Parabolic Equation.