{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T19:19:55Z","timestamp":1778786395898,"version":"3.51.4"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2006,11,24]],"date-time":"2006-11-24T00:00:00Z","timestamp":1164326400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2007,2,26]]},"DOI":"10.1007\/s10444-005-7470-9","type":"journal-article","created":{"date-parts":[[2006,11,27]],"date-time":"2006-11-27T13:18:19Z","timestamp":1164633499000},"page":"39-62","source":"Crossref","is-referenced-by-count":42,"title":["Transient numerical simulation of a thermoelectrical problem in cylindrical induction heating furnaces"],"prefix":"10.1007","volume":"26","author":[{"given":"A.","family":"Berm\u00fadez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.","family":"G\u00f3mez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. C.","family":"Mu\u00f1iz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"Salgado","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,11,24]]},"reference":[{"key":"7470_CR1","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0898-1221(81)90006-7","volume":"7","author":"A. Berm\u00fadez","year":"1994","unstructured":"A. Berm\u00fadez and C. Moreno, Duality methods for solving variational inequalities, Comput. Math. Appl. 7 (1994) 43\u201358.","journal-title":"Comput. Math. Appl."},{"key":"7470_CR2","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1016\/S0168-874X(02)00069-0","volume":"39","author":"A. Berm\u00fadez","year":"2003","unstructured":"A. Berm\u00fadez, J. Bull\u00f3n, F. Pena and P. Salgado, A numerical method for transient simulation of metallurgical compound electrodes, Finite Elem. Anal. Des. 39 (2003) 283\u2013299.","journal-title":"Finite Elem. Anal. Des."},{"key":"7470_CR3","volume-title":"Computational Electromagnetism","author":"A. Bossavit","year":"1998","unstructured":"A. Bossavit, Computational Electromagnetism (Academic Press, San Diego, CA, 1998)."},{"key":"7470_CR4","doi-asserted-by":"crossref","first-page":"739","DOI":"10.1109\/20.560107","volume":"33","author":"C. Chaboudez","year":"1997","unstructured":"C. Chaboudez, S. Clain, R. Glardon, D. Mari, J. Rappaz and M. Swierkosz, Numerical modeling in induction heating for axisymmetric geometries, IEEE Trans. Magn. 33 (1997) 739\u2013745.","journal-title":"IEEE Trans. Magn."},{"key":"7470_CR5","doi-asserted-by":"crossref","first-page":"805","DOI":"10.1142\/S0218202593000400","volume":"3","author":"S. Clain","year":"1993","unstructured":"S. Clain, J. Rappaz, M. Swierkosz and R. Touzani, Numerical modelling of induction heating for two-dimensional geometries, Math. Models Methods Appl. Sci. 3 (1993) 805\u2013822.","journal-title":"Math. Models Methods Appl. Sci."},{"key":"7470_CR6","volume-title":"Analyse Math\u00e9matique et Calcul Num\u00e9rique pour les Sciences et les Techniques","author":"R. Dautray","year":"1988","unstructured":"R. Dautray and J.-L. Lions, Analyse Math\u00e9matique et Calcul Num\u00e9rique pour les Sciences et les Techniques (Masson, Paris, 1988)."},{"key":"7470_CR7","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/S0927-0248(01)00151-9","volume":"72","author":"Y. Delannoy","year":"2002","unstructured":"Y. Delannoy, C. Alemany, K.-I. Li, P. Proulx and C. Trassy, Plasma-refining process to provide solar-grade silicon, Solar Energy Materials Solar Cells 72 (2002) 69\u201375.","journal-title":"Solar Energy Materials Solar Cells"},{"issue":"5","key":"7470_CR8","doi-asserted-by":"crossref","first-page":"4343","DOI":"10.1109\/20.105060","volume":"27","author":"L.R. Egan","year":"1991","unstructured":"L.R. Egan and E.P. Furlani, A computer simulation of an induction heating system, IEEE Trans. Magn. 27(5) (1991) 4343\u20134354.","journal-title":"IEEE Trans. Magn."},{"key":"7470_CR9","volume-title":"Weak and Variational Methods for Free Boundary Problems","author":"C. Elliot","year":"1985","unstructured":"C. Elliot and J.R. Ockendon, Weak and Variational Methods for Free Boundary Problems (Pitman, London, 1985)."},{"key":"7470_CR10","volume-title":"Engineering Electromagnetic Fields and Waves","author":"C.T.A. Johnk","year":"1988","unstructured":"C.T.A. Johnk, Engineering Electromagnetic Fields and Waves (Wiley, New York, 1988)."},{"issue":"3","key":"7470_CR11","doi-asserted-by":"crossref","first-page":"1519","DOI":"10.1109\/20.999125","volume":"38","author":"O. Klein","year":"2002","unstructured":"O. Klein and P. Philip, modeling of induction heating with prescribed current, voltage or power, IEEE Trans. Magn. 38(3) (2002) 1519\u20131523.","journal-title":"IEEE Trans. Magn."},{"issue":"5","key":"7470_CR12","doi-asserted-by":"crossref","first-page":"1871","DOI":"10.1109\/TMAG.1985.1064038","volume":"21","author":"P. Mass\u00e9","year":"1985","unstructured":"P. Mass\u00e9, B. Morel and T. Breville, A finite element prediction correction scheme for magneto-thermal coupled problem during curie transition, IEEE Trans. Magn. 21(5) (1985) 1871\u20131873.","journal-title":"IEEE Trans. Magn."},{"issue":"3","key":"7470_CR13","doi-asserted-by":"crossref","first-page":"1773","DOI":"10.1109\/20.767374","volume":"35","author":"T.T. Natarajan","year":"1999","unstructured":"T.T. Natarajan and N. El-Kaddah, electromagnetically driven flow in induction stirring systems, IEEE Trans. Magn. 35(3) (1999) 1773\u20131776.","journal-title":"IEEE Trans. Magn."},{"issue":"4","key":"7470_CR14","first-page":"217","volume":"136","author":"L. Pichon","year":"1989","unstructured":"L. Pichon and A. Razek, Hybrid finite-element method and boundary-element method using time-stepping for eddy-current calculation in axisymmetric problems, IEE Proceedings 136(4) (1989) 217\u2013222.","journal-title":"IEE Proceedings"},{"issue":"2","key":"7470_CR15","doi-asserted-by":"crossref","first-page":"1050","DOI":"10.1109\/20.106501","volume":"26","author":"L. Pichon","year":"1990","unstructured":"L. Pichon and A. Razek, Force calculation in axisymmetric induction devices using a hybrid FEM-BEM technique, IEEE Trans. Magn. 26(2) (1990) 1050\u20131053.","journal-title":"IEEE Trans. Magn."},{"issue":"2","key":"7470_CR16","first-page":"207","volume":"6","author":"R. Rappaz","year":"1996","unstructured":"R. Rappaz and M. Swierkosz, Mathematical modelling and numerical simulation of induction heating processes, Appl. Math. Comput. Sci. 6(2) (1996) 207\u2013221.","journal-title":"Appl. Math. Comput. Sci."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-005-7470-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-005-7470-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-005-7470-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T17:08:09Z","timestamp":1559149689000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-005-7470-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,11,24]]},"references-count":16,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2007,2,26]]}},"alternative-id":["7470"],"URL":"https:\/\/doi.org\/10.1007\/s10444-005-7470-9","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,11,24]]}}}