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

Tutkimustuotosvertaisarvioitu

Standard

Structure-preserving mesh coupling based on the Buffa-Christiansen complex. / Niemimäki, Ossi; Kurz, Stefan; Kettunen, Lauri.

julkaisussa: Mathematics of Computation, Vuosikerta 86, 2017, s. 507-524.

Tutkimustuotosvertaisarvioitu

Harvard

Niemimäki, O, Kurz, S & Kettunen, L 2017, 'Structure-preserving mesh coupling based on the Buffa-Christiansen complex', Mathematics of Computation, Vuosikerta. 86, Sivut 507-524. https://doi.org/10.1090/mcom/3121

APA

Niemimäki, O., Kurz, S., & Kettunen, L. (2017). Structure-preserving mesh coupling based on the Buffa-Christiansen complex. Mathematics of Computation, 86, 507-524. https://doi.org/10.1090/mcom/3121

Vancouver

Niemimäki O, Kurz S, Kettunen L. Structure-preserving mesh coupling based on the Buffa-Christiansen complex. Mathematics of Computation. 2017;86:507-524. https://doi.org/10.1090/mcom/3121

Author

Niemimäki, Ossi ; Kurz, Stefan ; Kettunen, Lauri. / Structure-preserving mesh coupling based on the Buffa-Christiansen complex. Julkaisussa: Mathematics of Computation. 2017 ; Vuosikerta 86. Sivut 507-524.

Bibtex - Lataa

@article{c59ce4ab512944f8bec0890031cd9b0d,
title = "Structure-preserving mesh coupling based on the Buffa-Christiansen complex",
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.",
author = "Ossi Niemim{\"a}ki and Stefan Kurz and Lauri Kettunen",
year = "2017",
doi = "10.1090/mcom/3121",
language = "English",
volume = "86",
pages = "507--524",
journal = "Mathematics of Computation",
issn = "0025-5718",
publisher = "American Mathematical Society",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - Structure-preserving mesh coupling based on the Buffa-Christiansen complex

AU - Niemimäki, Ossi

AU - Kurz, Stefan

AU - Kettunen, Lauri

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

U2 - 10.1090/mcom/3121

DO - 10.1090/mcom/3121

M3 - Article

VL - 86

SP - 507

EP - 524

JO - Mathematics of Computation

JF - Mathematics of Computation

SN - 0025-5718

ER -