Automatic generation of cuts on large-sized meshes for the \(T-\Omega \) geometric eddy-current formulation

DOI10.1016/j.cma.2009.08.007zbMath1230.78038OpenAlexW2152410378WikidataQ112198381 ScholiaQ112198381MaRDI QIDQ660415

Ruben Specogna, Paweł Dłotko, Francesco Trevisan

Publication date: 1 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.08.007

zbMATH Keywords

computational homologyeddy-currentsautomatic cut generationbelted treehomology generatorsscalar potential in multiply-connected regions

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Basic methods for problems in optics and electromagnetic theory (78M99)

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Uses Software

• Netgen

Cites Work

• Finite computability of Postnikov complexes
• Coreduction homology algorithm
• Homology computation by reduction of chain complexes
• NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
• Computational homology
• Generators of $H_1(\Gamma_{h},\mathbbZ)$ for Triangulated Surfaces: Construction and Classification
• Scalar potentials in multiply connected regions
• GeometricT–Ω approach to solve eddy currents coupled to electric circuits
• How to give an Exposition of the Cech-Alexander-Spanier type Homology Theory
• Discrete Vector Potentials for Nonsimply Connected Three-Dimensional Domains
• Electromagnetic Theory and Computation
• Geometric interpretation of finite‐dimensional eddy‐current formulations
• Curl‐conform source fields in finite element formulations
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