Coupling parallel adaptive mesh refinement with a nonoverlapping domain decomposition solver

0475170 - MÚ 2018 RIV NL eng J - Journal Article
Kůs, Pavel - Šístek, Jakub
Coupling parallel adaptive mesh refinement with a nonoverlapping domain decomposition solver.
Advances in Engineering Software. Roč. 110, August (2017), s. 34-54. ISSN 0965-9978. E-ISSN 1873-5339
R&D Projects: GA ČR GA14-02067S
Institutional support: RVO:67985840
Keywords : adaptive mesh refinement * parallel algorithms * domain decomposition
OECD category: Applied mathematics
Impact factor: 3.198, year: 2017
http://www.sciencedirect.com/science/article/pii/S0965997816305737

We study the effect of adaptive mesh refinement on a parallel domain decomposition solver of a linear system of algebraic equations. These concepts need to be combined within a parallel adaptive finite element software. A prototype implementation is presented for this purpose. It uses adaptive mesh refinement with one level of hanging nodes. Two and three-level versions of the Balancing Domain Decomposition based on Constraints (BDDC) method are used to solve the arising system of algebraic equations. The basic concepts are recalled and components necessary for the combination are studied in detail.
Permanent Link: http://hdl.handle.net/11104/0272014