Discrete-to-continuum limit of magnetic forces: Dependence on the distance between bodies

DOI10.1007/s00205-008-0134-4zbMath1185.78006OpenAlexW2113614415MaRDI QIDQ834742

Bernd Schmidt, Anja Schlömerkemper

Publication date: 27 August 2009

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-008-0134-4

zbMATH Keywords

magnetostaticsCauchy classicsdipole-dipole forces

Mathematics Subject Classification ID

Electro- and magnetostatics (78A30)

Related Items (5)

Approximation of the Willmore energy by a discrete geometry model ⋮ Discrete-to-continuum limits of long-range electrical interactions in nanostructures ⋮ BOUNDARY LAYER ENERGIES FOR NONCONVEX DISCRETE SYSTEMS ⋮ Atomistic-to-continuum multiscale modeling with long-range electrostatic interactions in ionic solids ⋮ Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. II: Numerical simulation

Cites Work

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• Discrete-to-continuum limit of magnetic forces.
• About solutions of Poisson's equation with transition condition in non-smooth domains
• Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. I: Analysis
• Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. II: Numerical simulation
• Mathematical derivation of the continuum limit of the magnetic force between two parts of a rigid crystalline material
• On the continuum theory of deformable ferromagnetic solids

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