Abstract Domain decomposition methods are designed to allow the effective numerical
solution of partial differential equations on parallel computer architectures. They comprise a …

Domain decomposition refers to divide and conquer techniques for solving partial differential
equations by iteratively solving subproblems defined on smaller subdomains. The principal …

These notes serve as an introduction to a subject of study in computational mathematics
referred to as domain decomposition methods. It concerns divide and conquer methods for …

In this paper, we consider the solution of linear systems of algebraic equations that arise
from parabolic finite element problems. We introduce three additive Schwarz type domain …

Two parallel, non-iterative, multi-physics, domain decomposition methods are proposed to
solve a coupled time-dependent Stokes-Darcy system with the Beavers-Joseph-Saffman …

Decomposition Methods for Differential Equations: Theory and Applications describes the
analysis of numerical methods for evolution equations based on temporal and spatial …

Numerical differentiation formulas based on interpolating polynomials, operators and
lozenge diagrams can be simplified to one of the finite difference approximations based on …

Domain decomposition procedures for solving parabolic equations are considered. The
underlying discretization consists of block-centered finite differences. In these procedures …

Super-Planckian near-field radiative heat transfer allows effective heat transfer between a
hot and a cold body to increase beyond the limits long known for black bodies. Until present …

Domain decomposition algorithms for parallel numerical solution of parabolic equations are
studied for steady state or slow unsteady computation. Implicit schemes are used in order to …