{"docId":1957,"paperId":1957,"url":"https:\/\/arima.episciences.org\/1957","doi":"10.46298\/arima.1957","journalName":"Revue Africaine de la Recherche en Informatique et Math\u00e9matiques Appliqu\u00e9es","issn":"","eissn":"1638-5713","volume":[{"vid":177,"name":"Volume 15, 2012"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-00481257","repositoryVersion":3,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-00481257v3","dateSubmitted":"2012-03-26 00:00:00","dateAccepted":null,"datePublished":"2012-10-12 00:00:00","titles":{"en":"Minimization of an energy error functional to solve a Cauchy problem arising in plasma physics: the reconstruction of the magnetic flux in the vacuum surrounding the plasma in a Tokamak"},"authors":["Faugeras, Blaise","Ben Abda, Amel","Blum, Jacques","Boulbe, Cedric"],"abstracts":{"en":"A numerical method for the computation of the magnetic flux in the vacuum surrounding the plasma in a Tokamak is investigated. It is based on the formulation of a Cauchy problem which is solved through the minimization of an energy error functional. Several numerical experiments are conducted which show the efficiency of the method."},"keywords":[{"en":"Boundary value problems for elliptic equations"},{"en":"inverse problems"},{"en":"magnetostatics"},{"en":"Tokamak"},"35J25, 65N21, 65N05, 78A30","[MATH.MATH-NA] Mathematics [math]\/Numerical Analysis [math.NA]","[MATH.MATH-AP] Mathematics [math]\/Analysis of PDEs [math.AP]","[MATH.MATH-OC] Mathematics [math]\/Optimization and Control [math.OC]","[INFO.INFO-NA] Computer Science [cs]\/Numerical Analysis [cs.NA]","[INFO.INFO-MO] Computer Science [cs]\/Modeling and Simulation","[PHYS.PHYS.PHYS-PLASM-PH] Physics [physics]\/Physics [physics]\/Plasma Physics [physics.plasm-ph]"]}