Fully discrete linear approximation scheme for electric field diffusion in type-II superconductors
type: Item
instance of: scholarly article
title: Fully discrete linear approximation scheme for electric field diffusion in type-II superconductors
zbMATH Open document ID: 1195.82105
published in: Journal of Computational and Applied Mathematics
publication date: 2010-07-20T00:00:00Z
review text: This paper deals with a nonlinear problem arising in superconductivity theory and that describes the diffusion of the electric field in type-II superconductors. The authors propose a linear approximation scheme converging to the solution of the nonlinear partial differential equation. It is also derived the convergence of the method and found the error estimate. In the last part of this paper, the theoretical results are compared with numerical experiments.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 82D55
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 70J50
zbMATH DE Number: 5758068
zbMATH Keywords: electromagnetic fields
zbMATH Keywords: nonlinear diffusion
zbMATH Keywords: linearization
zbMATH Keywords: full discretization
author: Edita Janíková
author: M. Slodička
MaRDI profile type: Publication
full work available at URL: j.cam.2009.08.063
OpenAlex ID: W1978061424
cites work: A degenerate evolution system modeling Bean's critical-state type-II superconductors
cites work: A finite-element analysis of critical-state models for type-II superconductivity in 3D
cites work: Nonlinear diffusion in type-II superconductors
cites work: Time-discrete finite element schemes for Maxwell's equations
cites work: A robust linearization scheme for nonlinear diffusion in type-II superconductors
cites work: Q5318581
DOI: 10.1016/J.CAM.2009.08.063
description: scientific article; zbMATH DE number 5758068