Can I read Overlapping additive Schwarz preconditioners for isotropic elliptic problems with degenerate coefficients on EtoBox?
Overlapping additive Schwarz preconditioners for isotropic elliptic problems with degenerate coefficients by S. Beuchler; S. V. Nepomnyaschikh is a Engineering article available to read on EtoBox.
What is Overlapping additive Schwarz preconditioners for isotropic elliptic problems with degenerate coefficients about?
The degenerate isotropic boundary value problem ∇ ́ω 2 ́xμ∇u ́x yμμ f ́x yμ on the unit square ́0 1μ 2 is considered in this paper. The weight function is assumed to be of the form ω 2 ́ξ μ ξ α , where α 0. This problem is discretized by piecewise linear finite elements on a triangular mesh of isosceles right triangles. The system of linear algebraic equations is solved by a preconditioned conjugate gradient method using a domain decomposition preconditioner with overlap. Two different preconditioners are presented and the optimality of the condition number for the preconditioned system is proved for α 1. The preconditioning operation requires Ç ́Nμ operations, where N is the number of unknowns. Several numerical experiments show the performance of the proposed method.
Who reads Overlapping additive Schwarz preconditioners for isotropic elliptic problems with degenerate coefficients?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- S. Beuchler; S. V. Nepomnyaschikh
- Publisher
- Walter de Gruyter GmbH
- Published
- 2007
- Language
- EN
- Field
- Engineering (Physical Sciences)