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 meshI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
