GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems

Bertrand Thierry (1, 2) , Alexandre Vion (2) , Simon Tournier (3, 2) , Mohamed El Bouajaji (4) , David Colignon (2) , Nicolas Marsic (2) , Xavier Antoine (5, 4) , Christophe Geuzaine (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 ACE - Applied and Computational Electromagnetics [Liège]
3 UC - Pontificia Universidad Católica de Chile
4 IECL - Institut Élie Cartan de Lorraine
5 SPHINX - Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization

We present an open finite element framework, called GetDDM, for testing optimized Schwarz domain decomposition techniques for time-harmonic wave problems. After a review of Schwarz domain decomposition methods and associated transmission conditions, we discuss the implementation, based on the open source software GetDP and Gmsh. The solver, along with ready-to-use examples for Helmholtz and Maxwell’s equations, is freely available online for further testing.

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Bertrand Thierry, Alexandre Vion, Simon Tournier, Mohamed El Bouajaji, David Colignon, et al.. GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems. Computer Physics Communications, 2016, 203, pp.309-330. ⟨10.1016/j.cpc.2016.02.030⟩. ⟨hal-01244511⟩