The method of boundary integral equations for a model of electric current in superconductors
type: Item
instance of: scholarly article
title: The method of boundary integral equations for a model of electric current in superconductors
zbMATH Open document ID: 0949.78014
author: M. M. jun. Khapaev
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-02T00:00:00Z
review text: In the paper a model of steady-state supercurrent is described. A differential problem is posed, and a reformulation of the problem into integral equations is described. A modified method of boundary elements is applied to solve the problem numerically. This method is shown to have considerable advantages as compared to known numerical algorithms. The results of the calculations are presented. Special attention is given to the calculation of the inductance matrix.
Mathematics Subject Classification ID: 78A55
Mathematics Subject Classification ID: 78M15
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 1467859
zbMATH Keywords: electric current
zbMATH Keywords: superconductor
zbMATH Keywords: integral equations
zbMATH Keywords: numerical method
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
Recommended article: An integral equation method for a boundary value problem in superconductivity
Recommended article: Q4031473
Recommended article: A rigorous derivation of a free-boundary problem arising in superconductivity
Recommended article: Application of the method of volume and boundary integral equations in models of magnetic systems with superconducting shields.
Recommended article: Finite element analysis of a current density-electric field formulation of Bean's model for superconductivity
Recommended article: A free boundary problem of type-I superconductivity
Recommended article: Superconductive and insulating inclusions for linear and non-linear conductivity equations
Recommended article: Finite element analysis and approximations of a Ginzburg-Landau model of superconductivity
Recommended article: Ginzburg-Landau equations and boundary conditions for superconductors in static magnetic fields
Recommended article: The stationary mean field model of superconductivity: Partial regularity of the free boundary
description: scientific article; zbMATH DE number 1467859