Multigrid–Based Optimal Shape and Topology Design in Magnetostatics

DOI10.1007/978-3-540-70942-8_9zbMath1137.65369OpenAlexW1550050946MaRDI QIDQ3591045

Dalibor Lukáš

Publication date: 3 September 2007

Published in: Numerical Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-70942-8_9

zbMATH Keywords

numerical resultssequential quadratic programmingshape optimizationtopology optimizationmultigrid preconditioningnonlinear magnetostaticsNewton-Lagrange techniquesparse saddle-point systemssteepest-descent optimization

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical optimization and variational techniques (65K10) Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Numerical methods based on nonlinear programming (49M37) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Numerical computation of matrix norms, conditioning, scaling (65F35) Optimization of shapes other than minimal surfaces (49Q10) Finite difference methods for boundary value problems involving PDEs (65N06) Existence theories for optimal control problems involving partial differential equations (49J20) Methods of successive quadratic programming type (90C55) Electro- and magnetostatics (78A30)

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