TITLE:
Novel Finite Difference Discretization of Interface Boundary Conditions for Stablized Explicit-Implicit Domain Decomposition Methods
AUTHORS:
Yu Zhuang
KEYWORDS:
Domain Decomposition, Parallel Computing, Unsteady Convection-Diffusion Equation, Finite Difference
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.6,
May
19,
2014
ABSTRACT: Stabilized explicit-implicit domain
decomposition is a group of methods for solving time-dependent partial
difference equations of the parabolic type on parallel computers. They are
efficient, stable, and highly parallel, but suffer from a restriction that the
interface boundaries must not intersect inside the domain. Various techniques
have been proposed to handle this restriction. In this paper, we present finite
difference schemes for discretizing the equation spatially, which is of high
simplicity, easy to implement, attains second-order spatial accuracy, and
allows interface boundaries to intersect inside the domain.