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arXiv · 1705.08784

ParMooN - a modernized program package based on mapped finite elements

Ulrich Wilbrandt·Clemens Bartsch·Naveed Ahmed·Najib Alia·Felix Anker·Laura Blank·Alfonso Caiazzo·Sashikumaar Ganesan·Swetlana Giere·Gunar Matthies·Raviteja Meesala·Abdus Shamim·Jagannath Venkatesan·Volker John
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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.

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Ulrich Wilbrandt, Clemens Bartsch, Naveed Ahmed, Najib Alia, Felix Anker, Laura Blank, Alfonso Caiazzo, Sashikumaar Ganesan, Swetlana Giere, Gunar Matthies, Raviteja Meesala, Abdus Shamim, Jagannath Venkatesan, Volker John. 2017-05-24. ParMooN - a modernized program package based on mapped finite elements. https://doi.org/10.1016/j.camwa.2016.12.020

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