Numerical simulation of tridimensional electromagnetic shaping of liquid metals

DOI10.1007/BF01385748zbMath0792.65096MaRDI QIDQ1326442

Michel Pierre, Jean Rodolphe Roche

Publication date: 31 July 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133731

zbMATH Keywords

finite elementscritical pointfree surfaceselliptic boundary value problemelectro-magnetic shapinglevitation of liquid metals

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electromagnetic theory (general) (78A25) Applications to the sciences (65Z05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (15)

Behaviour of the free boundary in electromagnetic shaping when the surface tension vanishes ⋮ NUMERICAL SOLUTION OF A FREE BOUNDARY PROBLEM TAKING PLACE IN AN ELECTROMAGNETIC CASTING ⋮ The inverse electromagnetic shaping problem ⋮ Inductor shape optimization for electromagnetic casting ⋮ Inverse and direct magnetic shaping problems ⋮ Solving a Bernoulli type free boundary problem with random diffusion ⋮ A new fictitious domain method in shape optimization ⋮ Solution of the equilibrium problem in electromagnetic casting considering a solid inclusion in the melt ⋮ Fast wavelet BEM for 3d electromagnetic shaping ⋮ A new method for inverse electromagnetic casting problems based on the topological derivative ⋮ Theoretical and numerical study of a free boundary problem by boundary integral methods ⋮ An Optimum Design Problem in Magnetostatics ⋮ Numerical minimization of eigenmodes of a membrane with respect to the domain ⋮ Solution to a three-dimensional axisymmetric inverse electromagnetic casting problem ⋮ Topology optimization in electromagnetic casting via quadratic programming

Cites Work

• An Analysis of Quadrature Errors in Second-Kind Boundary Integral Methods
• Deflection of a stream of liquid metal by means of an alternating magnetic field
• Un problème inverse en formage des métaux liquides
• Fluid dynamical aspects of the levitation-melting process
• Magnetic levitation of liquid metals
• Optimal conditioning of self-scaling variable Metric algorithms
• Quasi-Newton Methods, Motivation and Theory
• Numerical Approximation of a Free Boundary Problem Arising in Electromagnetic Shaping
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