Application of the method of volume and boundary integral equations in models of magnetic systems with superconducting shields.
type: Item
instance of: scholarly article
title: Application of the method of volume and boundary integral equations in models of magnetic systems with superconducting shields.
zbMATH Open document ID: 1114.82317
author: P. G. Akishin
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-07-01T00:00:00Z
review text: This paper is devoted to the modeling of magnet systems with superconducting shields. Nonlinear volume and boundary integral equations are derived that govern the magnetization distribution over a nonlinear medium and the current distribution over the superconductor boundary. Methods for discretizing the continuous equations and for iteratively solving the nonlinear systems thus obtained are suggested.
Mathematics Subject Classification ID: 82D55
Mathematics Subject Classification ID: 82D40
Mathematics Subject Classification ID: 82-08
zbMATH DE Number: 1940637
zbMATH Keywords: magnetostatics
zbMATH Keywords: modeling
zbMATH Keywords: superconducting shields
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: method of volume
zbMATH Keywords: boundary integral equations
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
Recommended article: Q4524112
Recommended article: The method of boundary integral equations for a model of electric current in superconductors
Recommended article: An integral equation method for a boundary value problem in superconductivity
Recommended article: Boundary value problems with integral boundary conditions for the modeling of magnetic fields in cylindrical film shells
Recommended article: An application of the boundary element method to the magnetic field integral equation
Recommended article: Q3377195
Recommended article: Existence and approximation of a mixed formulation for thin film magnetization problems in superconductivity
Recommended article: Q3605922
Recommended article: Fluxoid dynamics methods for electromagnetic phenomena of superconductors
Recommended article: An integro-differential formulation for magnetic induction in bounded domains: Boundary element--finite volume method
description: scientific article; zbMATH DE number 1940637