FROSch

FROSch: a fast and robust overlapping Schwarz domain decomposition preconditioner based on Xpetra in Trilinos. 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.

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References in zbMATH (referenced in 9 articles , 3 standard articles )

Showing results 1 to 9 of 9.
Sorted by year (citations)

  1. Heinlein, Alexander; Perego, Mauro; Rajamanickam, Sivasankaran: FROSch preconditioners for land ice simulations of Greenland and Antarctica (2022)
  2. Heinlein, Alexander; Hochmuth, Christian; Klawonn, Axel: Fully algebraic two-level overlapping Schwarz preconditioners for elasticity problems (2021)
  3. Jolivet, Pierre; Roman, Jose E.; Zampini, Stefano: KSPHPDDM and PCHPDDM: extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners (2021)
  4. Heinlein, Alexander; Lanser, Martin: Additive and hybrid nonlinear two-level Schwarz methods and energy minimizing coarse spaces for unstructured grids (2020)
  5. Heinlein, Alexander; Hochmuth, Christian; Klawonn, Axel: Monolithic overlapping Schwarz domain decomposition methods with GDSW coarse spaces for incompressible fluid flow problems (2019)
  6. Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver: Adaptive GDSW coarse spaces for overlapping Schwarz methods in three dimensions (2019)
  7. Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine: Machine learning in adaptive domain decomposition methods -- predicting the geometric location of constraints (2019)
  8. Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Röver, Friederike: A three-level extension of the GDSW overlapping Schwarz preconditioner in two dimensions (2019)
  9. Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver: A parallel implementation of a two-level overlapping Schwarz method with energy-minimizing coarse space based on trilinos (2016)


Further publications can be found at: https://shylu-frosch.github.io/publications/