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Structure-preserving mesh coupling based on the Buffa-Christiansen complex

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Details

Original languageEnglish
Pages (from-to)507-524
JournalMathematics of Computation
Volume86
Early online date17 May 2016
DOIs
Publication statusPublished - 2017
Publication typeA1 Journal article-refereed

Abstract

The state of the art for mesh coupling at nonconforming interfaces is presented and reviewed. Mesh coupling is frequently applied to the modeling and simulation of motion in electromagnetic actuators and machines. The paper exploits Whitney elements to present the main ideas. Both interpolation- and projection-based methods are considered. In addition to accuracy and efficiency, we emphasize the question whether the schemes preserve the structure of the de Rham complex, which underlies Maxwell's equations. As a new contribution, a structure-preserving projection method is presented, in which Lagrange multiplier spaces are chosen from the Buffa-Christiansen complex. Its performance is compared with a straightforward interpolation based on Whitney and de Rham maps, and with Galerkin projection.

Publication forum classification

Field of science, Statistics Finland