Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics

DOI10.1051/m2an/2020060zbMath1472.49061arXiv1908.10775OpenAlexW3080991346MaRDI QIDQ4958857

Peter Gangl, Kevin Sturm

Publication date: 15 September 2021

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10775

zbMATH Keywords

singular perturbationasymptotic analysismagnetostaticstopological derivativeMaxwell's equationtopology optimisationelectrical machines

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Optimization of shapes other than minimal surfaces (49Q10) Electro- and magnetostatics (78A30) Maxwell equations (35Q61)

Related Items (2)

Automated computation of topological derivatives with application to nonlinear elasticity and reaction-diffusion problems ⋮ One-Sided Derivative of Parametrized Minima for Shape and Topological Derivatives

Uses Software

• NGSolve

Cites Work

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