ParMooN - a modernized program package based on mapped finite elements

ParMooN is a program package for the numerical solution of elliptic and parabolic partial differential equations. It inherits the distinct features of its predecessor MooNMD [28]: strict decoupling of geometry and finite element spaces, implementation of mapped finite elements as their definition can be found in textbooks, and a geometric multigrid preconditioner with the option to use different finite element spaces on different levels of the multigrid hierarchy. After having presented some thoughts about in-house research codes, this paper focuses on aspects of the parallelization for a distributed memory environ∗Corresponding author. Email addresses: [email protected] (Ulrich Wilbrandt), [email protected] (Clemens Bartsch), [email protected] (Naveed Ahmed), [email protected] (Najib Alia), [email protected] (Felix Anker), [email protected] (Laura Blank), [email protected] (Alfonso Caiazzo), [email protected] (Sashikumaar Ganesan), [email protected] (Swetlana Giere), [email protected] (Gunar Matthies), [email protected] (Raviteja Meesala), [email protected] (Abdus Shamim), [email protected] (Jagannath Venkatesan), [email protected] (Volker John) 1The work of Najib Alia has been supported by a funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sk lodowska-Curie grant agreement No. 675715 (MIMESIS). 2The work of Felix Anker has been supported by grant Jo329/10-2 within the DFG priority programme 1679: Dynamic simulation of interconnected solids processes. 3The work of Sashikumaar Ganesan has partially been supported by the Naval Research Board, DRDO, India through the grant NRB/4003/PG/368. 4The work of Volker John has partially been supported by grant Jo329/10-2 within the DFG priority programme 1679: Dynamic simulation of interconnected solids processes. Preprint submitted to Elsevier May 25, 2017 ar X iv :1 70 5. 08 78 4v 1 [ m at h. N A ] 2 4 M ay 2 01 7 ment, which is the main novelty of ParMooN. Numerical studies, performed on compute servers, assess the efficiency of the parallelized geometric multigrid preconditioner in comparison with some parallel solvers that are available in the library PETSc. The results of these studies give a first indication whether the cumbersome implementation of the parallelized geometric multigrid method was worthwhile or not.