{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,25]],"date-time":"2025-06-25T04:03:16Z","timestamp":1750824196505,"version":"3.41.0"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2025,5,15]],"date-time":"2025-05-15T00:00:00Z","timestamp":1747267200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,5,15]],"date-time":"2025-05-15T00:00:00Z","timestamp":1747267200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001728","name":"The Swedish Foundation for International Cooperation in Research and Higher Education","doi-asserted-by":"crossref","award":["IB2021-8957"],"award-info":[{"award-number":["IB2021-8957"]}],"id":[{"id":"10.13039\/501100001728","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2025,6]]},"DOI":"10.1007\/s10444-025-10233-z","type":"journal-article","created":{"date-parts":[[2025,5,15]],"date-time":"2025-05-15T09:42:45Z","timestamp":1747302165000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A hybrid boundary integral-PDE approach for the approximation of the demagnetization potential in micromagnetics"],"prefix":"10.1007","volume":"51","author":[{"given":"Doghonay","family":"Arjmand","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4662-4308","authenticated-orcid":false,"given":"V\u00edctor Mart\u00ednez","family":"Calzada","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,5,15]]},"reference":[{"issue":"13","key":"10233_CR1","doi-asserted-by":"publisher","first-page":"2733","DOI":"10.1142\/S0218202521500603","volume":"31","author":"A Abdulle","year":"2021","unstructured":"Abdulle, A., Arjmand, D., Paganoni, E.: A parabolic local problem with exponential decay of the resonance error for numerical homogenization. Math. Model. Method. Appl. Sci. 31(13), 2733\u20132772 (2021)","journal-title":"Math. Model. Method. Appl. Sci."},{"issue":"2","key":"10233_CR2","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1137\/21M1452123","volume":"21","author":"A Abdulle","year":"2023","unstructured":"Abdulle, A., Arjmand, D., Paganoni, E.: An elliptic local problem with exponential decay of the resonance error for numerical homogenization. Multiscale Model. Simul. 21(2), 513\u2013541 (2023)","journal-title":"Multiscale Model. Simul."},{"key":"10233_CR3","volume-title":"Introduction to the Theory of Ferromagnetism","author":"A Aharoni","year":"2000","unstructured":"Aharoni, A.: Introduction to the Theory of Ferromagnetism. Clarendon Press, International Series of Monographs on Physics (2000)"},{"doi-asserted-by":"crossref","unstructured":"Christian, A., Attila, K., Riccardo, H.: Multiscale and multimodel simulation of Bloch-point dynamics. Phys. Rev. B 89, 134403 (2014)","key":"10233_CR4","DOI":"10.1103\/PhysRevB.89.134403"},{"key":"10233_CR5","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1016\/j.cam.2018.05.059","volume":"345","author":"D Arjmand","year":"2019","unstructured":"Arjmand, D., Engblom, S., Kreiss, G.: Temporal upscaling in micromagnetism via heterogeneous multiscale methods. J. Comput. Appl. Math. 345, 99\u2013113 (2019)","journal-title":"J. Comput. Appl. Math."},{"key":"10233_CR6","doi-asserted-by":"publisher","first-page":"1119","DOI":"10.1007\/s10444-017-9575-3","volume":"44","author":"D Arjmand","year":"2017","unstructured":"Arjmand, D., Poluektov, M., Kreiss, G.: Atomistic-continuum multiscale modelling of magnetisation dynamics at non-zero temperature. Adv. Comput. Math. 44, 1119\u20131151 (2017)","journal-title":"Adv. Comput. Math."},{"doi-asserted-by":"crossref","unstructured":"Arjmand, D., Poluektov, M., Kreiss, G.: Modelling long-range interactions in multiscale simulations of ferromagnetic materials. Adv. Comput. Math. 46(2), (2020)","key":"10233_CR7","DOI":"10.1007\/s10444-020-09747-5"},{"issue":"6","key":"10233_CR8","doi-asserted-by":"publisher","first-page":"890","DOI":"10.1090\/S0002-9904-1967-11830-5","volume":"73","author":"DG Aronson","year":"1967","unstructured":"Aronson, D.G.: Bounds for the fundamental solution of a parabolic equation. Bulletin. American. Math. Soc. 73(6), 890\u2013896 (1967)","journal-title":"Bulletin. American. Math. Soc."},{"unstructured":"Brebbia, C\u00a0A., Telles, J C\u00a0F., Wrobel, L\u00a0C.: Boundary element techniques: theory and applications in engineering. Springer Sci. Business Med. (2012)","key":"10233_CR9"},{"key":"10233_CR10","first-page":"103","volume":"39","author":"CJG Cervera","year":"2007","unstructured":"Cervera, C.J.G.: Numerical micromagnetics: a review. Bol. Soc. Esp. Mat. Apl. 39, 103\u2013135 (2007)","journal-title":"Bol. Soc. Esp. Mat. Apl."},{"issue":"3","key":"10233_CR11","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1007\/s11831-008-9021-2","volume":"15","author":"I Cimr\u00e1k","year":"2008","unstructured":"Cimr\u00e1k, I.: A survey on the numerics and computations for the Landau-Lifshitz equation of micromagnetism. Arch. Comput. Method. Eng. 15(3), 277\u2013309 (2008)","journal-title":"Arch. Comput. Method. Eng."},{"doi-asserted-by":"crossref","unstructured":"De Lucia, A., Kr\u00fcger, B., Tretiakov, O.A., Kl\u00e4ui, M.: Multiscale model approach for magnetization dynamics simulations. Phys. Rev. B. 94(18), 184415 (2016)","key":"10233_CR12","DOI":"10.1103\/PhysRevB.94.184415"},{"key":"10233_CR13","doi-asserted-by":"publisher","first-page":"490","DOI":"10.1016\/j.jcp.2014.04.013","volume":"270","author":"L Exl","year":"2014","unstructured":"Exl, L., Schrefl, T.: Non-uniform FFT for the finite element computation of the micromagnetic scalar potential. J. Comput. Phys. 270, 490\u2013505 (2014)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"10233_CR14","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1109\/20.106342","volume":"26","author":"DR Fredkin","year":"1990","unstructured":"Fredkin, D.R., Koehler, T.R.: Hybrid method for computing demagnetizing fields. IEEE Trans. Magnet. 26(2), 415\u2013417 (1990)","journal-title":"IEEE Trans. Magnet."},{"issue":"6","key":"10233_CR15","doi-asserted-by":"publisher","first-page":"1648","DOI":"10.1109\/TMAG.2006.872199","volume":"42","author":"CJ Garcia-Cervera","year":"2006","unstructured":"Garcia-Cervera, C.J., Roma, A.M.: Adaptive mesh refinement for micromagnetics simulations. IEEE Trans. Magnet. 42(6), 1648\u20131654 (2006)","journal-title":"IEEE Trans. Magnet."},{"doi-asserted-by":"crossref","unstructured":"Garcia-Sanchez, F., Chubykalo-Fesenko, O., Mryasov, O., Chantrell, R.W., Guslienko, K.Y.: Exchange spring structures and coercivity reduction in FePt\/FeRh bilayers: a comparison of multiscale and micromagnetic calculations. Appl. Phys. Lett. 87(12), 122501 (2005)","key":"10233_CR16","DOI":"10.1063\/1.2051789"},{"doi-asserted-by":"crossref","unstructured":"Jourdan, T., Marty, A., Lan\u00e7on, F.: Multiscale method for Heisenberg spin simulations. Phys. Rev. B. 77(22), 224428 (2008)","key":"10233_CR17","DOI":"10.1103\/PhysRevB.77.224428"},{"doi-asserted-by":"crossref","unstructured":"Leitenmaier, L., Runborg, O..: Heterogeneous multiscale methods for the Landau\u2013Lifshitz equation. J. Sci. Comput., 93(76), (2022)","key":"10233_CR18","DOI":"10.1007\/s10915-022-01992-8"},{"issue":"2","key":"10233_CR19","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1109\/TMAG.2005.861505","volume":"42","author":"HH Long","year":"2006","unstructured":"Long, H.H., Ong, E.T., Liu, Z.J., Li, E.P.: Fast Fourier transform on multipoles for rapid calculation of magnetostatic fields. IEEE Trans. Magnet. 42(2), 295\u2013300 (2006)","journal-title":"IEEE Trans. Magnet."},{"key":"10233_CR20","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1016\/j.jmmm.2017.06.128","volume":"442","author":"P Palmesi","year":"2017","unstructured":"Palmesi, P., Exl, L., Bruckner, F., Abert, C., Suess, D.: Highly parallel demagnetization field calculation using the fast multipole method on tetrahedral meshes with continuous sources. J. Magnet. Magnetic. Mater. 442, 409\u2013416 (2017)","journal-title":"J. Magnet. Magnetic. Mater."},{"issue":"286\u2013292","key":"10233_CR21","first-page":"1960","volume":"5","author":"LE Payne","year":"1960","unstructured":"Payne, L.E., Weinberger, H.F.: An optimal Poincar\u00e9 inequality for convex domains. Arch. Rational Mech. Anal. 5(286\u2013292), 1960 (1960)","journal-title":"Arch. Rational Mech. Anal."},{"key":"10233_CR22","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1016\/j.cma.2017.10.010","volume":"329","author":"M Poluektov","year":"2018","unstructured":"Poluektov, M., Eriksson, O., Kreiss, G.: Coupling atomistic and continuum modelling of magnetism. Comput. Method. Appl. Mech. Eng. 329, 219\u2013253 (2018)","journal-title":"Comput. Method. Appl. Mech. Eng."},{"doi-asserted-by":"crossref","unstructured":"Safarov, Y., Vassiliev, D..: The asymptotic distribution of eigenvalues of partial differential operators, volume 155 of Translations of Mathematical Monographs. American Mathematical Society, Providence, RI, (1997). Translated from the Russian manuscript by the authors","key":"10233_CR23","DOI":"10.1090\/mmono\/155"},{"doi-asserted-by":"crossref","unstructured":"Wu, J., Zou, L., Liu, H., Zhang, L., Zhao, T.: Micromagnetic simulation of high frequency magnetic characteristics for Fe-based nanocrystalline alloy. In: 2016 IEEE international conference on high voltage engineering and application (ICHVE), pp. 1\u20134, (2016)","key":"10233_CR24","DOI":"10.1109\/ICHVE.2016.7800631"},{"doi-asserted-by":"crossref","unstructured":"Zhibiao, X., Cui, J., Zhang, C., He, D., Wang, T.: High-frequency magnetic properties and micro-magnetic structure of Co2W-type ferrite with Bi2O3 addition for potential antenna applications. J. Magnet. Magnetic. Mater. 562, 169815 (2022)","key":"10233_CR25","DOI":"10.1016\/j.jmmm.2022.169815"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-025-10233-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10444-025-10233-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-025-10233-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,24]],"date-time":"2025-06-24T03:16:07Z","timestamp":1750734967000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10444-025-10233-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,15]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2025,6]]}},"alternative-id":["10233"],"URL":"https:\/\/doi.org\/10.1007\/s10444-025-10233-z","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"type":"print","value":"1019-7168"},{"type":"electronic","value":"1572-9044"}],"subject":[],"published":{"date-parts":[[2025,5,15]]},"assertion":[{"value":"19 April 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 April 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 May 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"24"}}