Extensions of a coarse–fine mesh stabilized Schwarz alternating iteration domain decomposition method

0534421 - ÚGN 2021 RIV NL eng J - Journal Article
Axelsson, Owe
Extensions of a coarse–fine mesh stabilized Schwarz alternating iteration domain decomposition method.
Journal of Computational and Applied Mathematics. Roč. 364, January 2020 (2020), č. článku 112341. ISSN 0377-0427. E-ISSN 1879-1778
R&D Projects: GA MŠMT LQ1602
Institutional support: RVO:68145535
Keywords : striped domain decomposition * Schwarz method * maximal overlap * coarse–fine mesh stabilization * three dimensional problems * porous media
OECD category: Applied mathematics
Impact factor: 2.621, year: 2020
Method of publishing: Limited access
https://www.sciencedirect.com/science/article/pii/S0377042719303383

For the numerical solution of a domain decomposed discretized elliptic operator (PDE) problem a particular kind of Schwarz alternating iteration method is used, based on maximal overlap between neighboring domains. It is stabilized not by the more traditional coarse mesh method but by a combined coarse–fine mesh method. As has been demonstrated earlier for 2D problems this method can converge very rapidly and is not sensitive to how accurate the arising subdomain systems and the coarse–fine mesh system are solved. A short presentation of the method is given followed by extensions of the method to 3D problems and to porous media problems.
Permanent Link: http://hdl.handle.net/11104/0312620