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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Doi
Abstract
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, 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 parallel solvers that are available in
external libraries. 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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