Topological derivative for the nonlinear magnetostatic problem

DOI10.1553/etna_vol51s169zbMath1425.35051arXiv1811.08715OpenAlexW3099685450WikidataQ127441960 ScholiaQ127441960MaRDI QIDQ2323031

Samuel Amstutz, Peter Gangl

Publication date: 30 August 2019

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08715

zbMATH Keywords

quasilinear equationtopology optimizationtopological derivativenonlinear magnetostatics

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Sensitivity analysis for optimization problems on manifolds (49Q12) Quasilinear elliptic equations (35J62)

Related Items (6)

Automated computation of topological derivatives with application to nonlinear elasticity and reaction-diffusion problems ⋮ The topological state derivative: an optimal control perspective on topology optimisation ⋮ A unified approach to shape and topological sensitivity analysis of discretized optimal design problems ⋮ Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics ⋮ A simplified derivation technique of topological derivatives for quasi-linear transmission problems ⋮ Topological Derivative for PDEs on Surfaces

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