Tree–cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains

Kapidani B.; Vazquez R.; Merkel M.Schops S.

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Tree–cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains

机译：Tree–cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains

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? 2022 Elsevier B.V.When applying isogeometric analysis to engineering problems, one often deals with multi-patch spline spaces that have incompatible discretisations, e.g. in the case of moving objects. In such cases mortaring has been shown to be advantageous. This contribution discusses the appropriate B-spline spaces needed for the solution of Maxwell's equations in the functions space H(curl) and the corresponding mortar spaces. The main contribution of this paper is to show that in formulations requiring gauging, as in the vector potential formulation of magnetostatic equations, one can remove the discrete kernel subspace from the mortared spaces by the graph-theoretical concept of a tree–cotree decomposition. The tree–cotree decomposition is done based on the control mesh, it works for non-contractible domains, and it can be straightforwardly applied independently of the degree of the B-spline bases. Finally, the simulation workflow is demonstrated using a realistic model of a rotating permanent magnet synchronous machine.

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《Computer Methods in Applied Mechanics and Engineering》 |2022年第15期|114949.1-114949.21|共21页
作者
Kapidani B.; Vazquez R.; Merkel M.Schops S.;
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作者单位

Chair of Numerical Modelling and Simulation école Polytechnique Fédérale de Lausanne;

Chair of Numerical Modelling and Simulation école Polytechnique Fédérale de Lausanne||Istituto di Matematica Applicata e Tecnologie Informatiche “Enrico Magenes”;

Computational Electromagnetics Group Technische Universit?t DarmstadtComputational Electromagnetics Group Technische Universit?t Darmstadt||Centre for Computational Engineering Technische Universit?t Darmstadt||Computational Electromagnetics Group Technische Universit?t Darmstadt||Centre for Computational Engineering Technische Universit?t Darmstadt;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
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关键词
Electric machines; Isogeometric analysis; Mortaring; Tree–cotree gauging;

Tree–cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains

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