Optimized cycle basis in volume integral formulations for large scale eddy-current problems

DOI10.1016/j.cpc.2021.108004OpenAlexW3159625561MaRDI QIDQ6098388

Piergiorgio Alotto, Paolo Bettini, Dimitri Voltolina, Riccardo Torchio, Ruben Specogna

Publication date: 13 June 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2021.108004

zbMATH Keywords

cohomologymultiply connected domainslow-rank approximationeddy-current problemsvolume integral formulationsthermonuclear fusion devices

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Analytic sheaves and cohomology groups (32C35) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Technical applications of optics and electromagnetic theory (78A55) Electromagnetic theory (general) (78A25) Nuclear reactor theory; neutron transport (82D75) Numerical methods for partial differential equations, boundary value problems (65N99) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Related Items (2)

Foundations of volume integral methods for eddy current problems ⋮ Low-rank compression techniques in integral methods for eddy currents problems

Cites Work

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• Computation of stationary 3D halo currents in fusion devices with accuracy control
• A sparse \({\mathcal H}\)-matrix arithmetic: General complexity estimates
• The cell method for electrical engineering and multiphysics problems. An introduction
• The mathematical structure of classical and relativistic physics. A general classification diagram
• A new set of basis functions for the discrete geometric approach
• Matrices with Hierarchical Low-Rank Structures
• Generators of $H_1(\Gamma_{h},\mathbbZ)$ for Triangulated Surfaces: Construction and Classification
• hm-toolbox: MATLAB Software for HODLR and HSS Matrices
• Loop-Star and Loop-Tree Decompositions: Analysis and Efficient Algorithms
• A Frequency Stable Volume Integral Equation Method for Anisotropic Scatterers

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