FROSch: A Fast and Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos

Technical Report · Thu Nov 01 00:00:00 EDT 2018

DOI:https://doi.org/10.2172/1482862· OSTI ID:1482862

Heinlein, Alexander ^[1]; Klawonn, Axel ^[1]; Rajamanickam, Sivasankaran ^[2]; Rheinbach, Oliver ^[3]

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1. Univ. zu Koln (Germany)
2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
3. Technische Univ. Bergakademie Freiberg (Germany)

A parallel two-level overlapping Schwarz domain decomposition preconditioner has been integrated into the Trilinos ShyLU-package. The preconditioner uses an energy-minimizing coarse space and can be constructed from an assembled sparse matrix. The software implements variants of the two-level overlapping Schwarz method from [Dohrmann, Klawonn, Widlund, SINUM 2008], where it was denoted Generalized Dryja, Smith, Widlund (GDSW). The implementation is based on [Heinlein, Klawonn, Rheinbach, SISC 2016] but has been improved significantly with respect to efficiency, generality, e.g., for the use of Tpetra instead of Epetra matrices, and its interface.

• Research Organization: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Sandia National Lab. (SNL-CA), Livermore, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE National Nuclear Security Administration (NNSA)
• DOE Contract Number: AC04-94AL85000; NA0003525
• OSTI ID: 1482862
• Report Number(s): SAND-2018-13025R; 669919
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING