Schwarz type domain decomposition algorithms for parabolic equations and error estimates
This paper deals with the initial-boundary value problem for the general selfadjoint second order parabolic partial differential equation. Two kinds of Schwarz type domain decomposition algorithms with backward Euler scheme in time variable are presented. The first one is with continuous space variable and the other is its Galerkin approximate. The authors give the main convergence results, which tell us that the approximate solutions converge to the exact solution after one cycle of iteration at every time level and a priori optimal \(L^2\) error estimates are given.
Schwarz type domain decomposition algorithms
scientific article; zbMATH DE number 1340734