A variational method for solving magnetostatic problems
type: Item
instance of: scholarly article
title: A variational method for solving magnetostatic problems
zbMATH Open document ID: 0973.78007
author: M. V. Aleshin
published in: Computational Mathematics and Mathematical Physics
publication date: 2001-11-28T00:00:00Z
review text: The subject of this paper is a nonlinear magnetostatic problem in the integral formulation. The physical system under study is a ferromagnetic material in the field of a solenoid with a current. An error estimate is obtained for the approximate solution that does not require the knowledge of the exact solution. A special type of discretization of the problem simplifies the form of this estimate. The minimization of this estimate leads to the solution method that possesses the stopping criterion.
Mathematics Subject Classification ID: 78A30
Mathematics Subject Classification ID: 78M25
Mathematics Subject Classification ID: 45L05
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 1472954
zbMATH Keywords: nonlinear magnetostatic problem
zbMATH Keywords: integral equations
zbMATH Keywords: error estimate
zbMATH Keywords: approximate solution
zbMATH Keywords: numerical method
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1472954