Structure-preserving mesh coupling based on the Buffa-Christiansen complex
Research output: Contribution to journal › Article › Scientific › peer-review
|Journal||Mathematics of Computation|
|Early online date||17 May 2016|
|Publication status||Published - 2017|
|Publication type||A1 Journal article-refereed|
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.