ParMooN - a modernized program package based on mapped finite elements
Abstract
{\sc ParMooN} is a program package for the numerical solution of elliptic and parabolic partial differential equations. It inherits the distinct features of its predecessor {\sc MooNMD} \cite{JM04}: 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 environment, which is the main novelty of {\sc 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 {\sc PETSc}. The results of these studies give a first indication whether the cumbersome implementation of the parallelized geometric multigrid method was worthwhile or not.
Keywords
Cite
@article{arxiv.1705.08784,
title = {ParMooN - a modernized program package based on mapped finite elements},
author = {Ulrich Wilbrandt and Clemens Bartsch and Naveed Ahmed and Najib Alia and Felix Anker and Laura Blank and Alfonso Caiazzo and Sashikumaar Ganesan and Swetlana Giere and Gunar Matthies and Raviteja Meesala and Abdus Shamim and Jagannath Venkatesan and Volker John},
journal= {arXiv preprint arXiv:1705.08784},
year = {2017}
}
Comments
partly supported by European Union (EU), Horizon 2020, Marie Sk{\l}odowska-Curie Innovative Training Networks (ITN-EID), MIMESIS, grant number 675715