Fast algorithms for the bean critical-state model for superconductivity

Khaled M. Furati; Abul Hasan Siddiqi

doi:10.1081/NFA-200063893

Fast algorithms for the bean critical-state model for superconductivity

Khaled M. Furati^*, Abul Hasan Siddiqi

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The Bean critical-state model describes the penetration of magnetic field into type-II superconductors. Mathematically, it is a free boundary problem, and fast algorithms for its solution are needed in applied superconductivity. Existence and uniqueness of solution, parallel algorithms, stability, and error estimation for this model are discussed.

Original language	English
Pages (from-to)	177-192
Number of pages	16
Journal	Numerical Functional Analysis and Optimization
Volume	26
Issue number	2
DOIs	https://doi.org/10.1081/NFA-200063893
State	Published - 2005

Bibliographical note

Funding Information:
This research was supported by King Fahd University of Petroleum & Minerals, Project MS/Safingsensor/234.

Keywords

Bean model
Parabolic variational and quasi-variational inequality
Parallel algorithms
Superconductivity

ASJC Scopus subject areas

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1081/NFA-200063893

Cite this

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abstract = "The Bean critical-state model describes the penetration of magnetic field into type-II superconductors. Mathematically, it is a free boundary problem, and fast algorithms for its solution are needed in applied superconductivity. Existence and uniqueness of solution, parallel algorithms, stability, and error estimation for this model are discussed.",

keywords = "Bean model, Parabolic variational and quasi-variational inequality, Parallel algorithms, Superconductivity",

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AU - Siddiqi, Abul Hasan

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PY - 2005

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AB - The Bean critical-state model describes the penetration of magnetic field into type-II superconductors. Mathematically, it is a free boundary problem, and fast algorithms for its solution are needed in applied superconductivity. Existence and uniqueness of solution, parallel algorithms, stability, and error estimation for this model are discussed.

KW - Bean model

KW - Parabolic variational and quasi-variational inequality

KW - Parallel algorithms

KW - Superconductivity

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ER -

Fast algorithms for the bean critical-state model for superconductivity

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

UN SDGs

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