Overlapping nonmatching grids method: some preliminary studies | Zendy

Serge Goossens | Zendy; XiaoChuan Cai | Zendy; Dirk Roose | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Overlapping nonmatching grids method: some preliminary studies

Author(s) -

Serge Goossens,

XiaoChuan Cai,

Dirk Roose

Publication year - 1998

Publication title -

contemporary mathematics - american mathematical society

Language(s) - English

Resource type - Reports

SCImago Journal Rank - 0.106

H-Index - 12

eISSN - 1098-3627

pISSN - 0271-4132

DOI - 10.1090/conm/218/03016

Subject(s) - interpolation (computer graphics) , mathematics , discretization , focus (optics) , extension (predicate logic) , boundary (topology) , operator (biology) , boundary value problem , algorithm , mathematical analysis , computer science , image (mathematics) , artificial intelligence , biochemistry , chemistry , physics , repressor , transcription factor , optics , gene , programming language

In this paper, we report some preliminary studies of a nite dierence method on overlapping nonmatching grids for a two-dimensional Poisson problem. The method can be regarded as an extension of the Generalised Additive Schwarz Method (GASM). GASM was originally developed as a preconditioning technique that uses special transmission boundary conditions at the subdomain interfaces. By involving a nonmatching grids interpolation operator in the subdomain boundary conditions, we show that the method can also be used as a discretisation scheme. We focus only on the error issues.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research