When solving eddy-current problems containing topologically non-trivial conductors with formulations using the magnetic scalar potential in the insulators, cohomology is recognized to be the only safe tool to obtain a well posed problem. This paper presents an efficient implementation of the recently introduced DS algorithm to compute the first lazy cohomology group generators of a tetrahedral mesh. The code will be available for download on request for non-profit use. Secondly, for the first time, the computational time required by the proposed toolbox for the topological pre-processing is compared with another freely available alternative on the same input mesh

Topoprocessor: An efficient computational topology toolbox for h-oriented eddy current formulations

KAPIDANI, Bernard;SPECOGNA, Ruben
2017-01-01

Abstract

When solving eddy-current problems containing topologically non-trivial conductors with formulations using the magnetic scalar potential in the insulators, cohomology is recognized to be the only safe tool to obtain a well posed problem. This paper presents an efficient implementation of the recently introduced DS algorithm to compute the first lazy cohomology group generators of a tetrahedral mesh. The code will be available for download on request for non-profit use. Secondly, for the first time, the computational time required by the proposed toolbox for the topological pre-processing is compared with another freely available alternative on the same input mesh
2017
978-150901032-5
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1103187
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