{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T22:15:19Z","timestamp":1768860919319,"version":"3.49.0"},"reference-count":52,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund","doi-asserted-by":"publisher","award":["10.55776\/F90"],"award-info":[{"award-number":["10.55776\/F90"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["492661287\/TRR 361"],"award-info":[{"award-number":["492661287\/TRR 361"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2026,2,28]]},"DOI":"10.1137\/24m168814x","type":"journal-article","created":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T08:49:54Z","timestamp":1768812594000},"page":"55-75","source":"Crossref","is-referenced-by-count":0,"title":["On the Convergence of Higher-Order Finite Element Methods for Nonlinear Magnetostatics"],"prefix":"10.1137","volume":"64","author":[{"given":"H.","family":"Egger","sequence":"first","affiliation":[{"name":"Institute of Numerical Mathematics, Johannes Kepler University Linz, 4040 Linz, Austria, and Johann Radon Institute for Computational and Applied Mathematics, 4040 Linz, Austria."}]},{"given":"F.","family":"Engertsberger","sequence":"additional","affiliation":[{"name":"Institute of Numerical Mathematics, Johannes Kepler University Linz, 4040 Linz, Austria."}]},{"given":"B.","family":"Radu","sequence":"additional","affiliation":[{"name":"Johann Radon Institute for Computational and Applied Mathematics, 4040 Linz, Austria."}]}],"member":"351","published-online":{"date-parts":[[2026,1,19]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinam.2024.100478"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/B978-012387582-2\/50038-1"},{"key":"ref3","first-page":"457","volume":"135","author":"Albanese R.","year":"1988","journal-title":"IEE Proc. A"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/978-88-470-1506-7"},{"key":"ref5","volume-title":"Finite Element Exterior Calculus","author":"Arnold D. N.","year":"2019"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-005-0597-2"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-36519-5"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2004.825178"},{"key":"ref9","volume-title":"Computational Electromagnetism: Variational Formulations, Complementarity, Edge Elements","author":"Bossavit A.","year":"1998"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-07-02080-7"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.1975.1058555"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-75934-0"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(98)00165-0"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-024-01431-w"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719208"},{"key":"ref16","unstructured":"Compumag, Team Problem 13: 3-D Non-Linear Magnetostatic Model, https:\/\/www.compumag.org\/wp\/wp-content\/uploads\/2018\/06\/problem13.pdf."},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492904000224"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/080735369"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2011-02536-6"},{"key":"ref20","volume-title":"Computing with -Adaptive Finite Elements","volume":"2","author":"Demkowicz L.","year":"2008"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-23899-4"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-22980-0"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2007.914888"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2017.2749618"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TASC.2019.2935429"},{"key":"ref26","unstructured":"F. Engertsberger, The Scalar Potential Approach in Nonlinear Magnetostatics, Master\u2019s\u00a0thesis, Johannes Kepler University Linz, 2023."},{"key":"ref27","first-page":"1","volume":"24","author":"Friedrich L.","year":"2019","journal-title":"Math. Comput. Appl."},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2005.846048"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-50769-4_30"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/15100477X"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1002\/pamm.200700750"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/s00013-023-01858-x"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1137\/0731040"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492902000041"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.5772\/intechopen.90135"},{"key":"ref36","volume-title":"Compter-Aided Design in Magnetics","author":"Lowther D. A.","year":"2012"},{"key":"ref37","unstructured":"D. Meeker, Finite Element Method Magnetics: Version 4.2 User\u2019s Manual, 2013, https:\/\/www.femm.info\/wiki\/manual."},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1002\/9780470611173"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198508885.001.0001"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/BF01396415"},{"key":"ref41","volume-title":"Numerical Optimization","author":"Nocedal J.","year":"2006","edition":"2"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.3390\/j5010004"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/20.497323"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-2349-9"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1108\/03321640510586015"},{"key":"ref46","series-title":"Numerical Mathematics and Scientific Computation","volume-title":"p- and hp- Finite Element Methods: Theory and Applications to Solid and Fluid Mechanics","author":"Schwab C.","year":"1999"},{"key":"ref47","unstructured":"J. Sch\u00f6berl, C++11 Implementation of Finite Elements in NGSolve, Technical report 30, Institute for Analysis and Scientific Computing, Vienna University of Technology, 2014."},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/20.104930"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/dri030"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2003.810212"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2025.116782"},{"key":"ref52","volume-title":"Nonlinear Functional Analysis and Its Applications.\u00a0II\/A: Linear Monotone Operators","author":"Zeidler E.","year":"1990"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T08:49:58Z","timestamp":1768812598000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M168814X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,19]]},"references-count":52,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,2,28]]}},"alternative-id":["10.1137\/24M168814X"],"URL":"https:\/\/doi.org\/10.1137\/24m168814x","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,19]]}}}