Chebyshev acceleration of an alternating Schwarz process. (Russian) Zbl 0697.65019

Sander, S. A.

Zh. Vychisl. Mat. Mat. Fiz. 30, No. 3, 430-437 (1990).

The author estimates the convergence factor of an alternating Schwarz process with Chebyshev acceleration for the solution of the discretized Poisson equation. By numerical examples he compares the number of iterations needed for the algorithm without acceleration and for the algorithm with Chebyshev acceleration.

Reviewer: M.Jung

MSC:

65F10	Iterative numerical methods for linear systems
65N22	Numerical solution of discretized equations for boundary value problems involving PDEs
35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation

Keywords:

convergence factor; alternating Schwarz process; Chebyshev acceleration; Poisson equation; numerical examples; number of iterations