{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,27]],"date-time":"2024-01-27T17:38:03Z","timestamp":1706377083583},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2005,7,5]],"date-time":"2005-07-05T00:00:00Z","timestamp":1120521600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2005,9]]},"DOI":"10.1007\/s00211-005-0629-y","type":"journal-article","created":{"date-parts":[[2005,7,4]],"date-time":"2005-07-04T16:24:28Z","timestamp":1120494268000},"page":"391-414","source":"Crossref","is-referenced-by-count":1,"title":["Mesh optimization for singular axisymmetric harmonic maps from the disc into the sphere"],"prefix":"10.1007","volume":"101","author":[{"given":"Fran\u00e7ois","family":"Alouges","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Morgan","family":"Pierre","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,7,5]]},"reference":[{"key":"629_CR1","unstructured":"Alexander, R., Manselli, P., Miller, K.: Moving finite elements for the Stefan problem in two dimensions. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 67(1\u20132), 57\u201361 (1979)"},{"key":"629_CR2","doi-asserted-by":"crossref","first-page":"1708","DOI":"10.1137\/S0036142994264249","volume":"34","author":"Alouges","year":"5","unstructured":"Alouges, F.: A new algorithm for computing liquid crystal stable configurations: the harmonic mapping case. SIAM J. Numer. Anal. 34(5), 1708\u20131726 (1997)","journal-title":"SIAM J. Numer. Anal."},{"key":"629_CR3","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1007\/BF01210846","volume":"92","author":"Brezis","year":"2","unstructured":"Brezis, H., Coron J.-M.: Large solutions for harmonic maps in two dimensions. Commun. Math. Phys. 92(2), 203\u2013215 (1983)","journal-title":"Commun. Math. Phys."},{"key":"629_CR4","doi-asserted-by":"crossref","first-page":"728","DOI":"10.1137\/S106482759426955X","volume":"19","author":"Carlson","year":"1998","unstructured":"Carlson, N., Miller, K.: Design and application of a gradient-weighted moving finite element code I: in one dimension. SIAM J. Sci. Comput. 19, 728\u2013765 (1998)","journal-title":"SIAM J. Sci. Comput."},{"key":"629_CR5","unstructured":"Coron, J.-M., Ghidaglia, J.-M. (eds.): Nematics, volume 332 of NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, Dordrecht, 1991. Kluwer Academic Publishers Group"},{"key":"629_CR6","doi-asserted-by":"crossref","unstructured":"De Gennes, P.-G., Prost, J.: The Physics of liquid crystals. Clarendon Press, Oxford, 1993","DOI":"10.1093\/oso\/9780198520245.001.0001"},{"key":"629_CR7","doi-asserted-by":"crossref","unstructured":"Delfour, M., Payre, G., Zolesio, J.P. An optimal triangulation for second-order elliptic problems. Comput. Methods Appl. Mech. Engrg. 50, 231\u2013261 (1985)","DOI":"10.1016\/0045-7825(85)90095-7"},{"key":"629_CR8","doi-asserted-by":"crossref","unstructured":"Giaquinta, M., Modica, G., Sou\u010dek, J.: Cartesian currents in the calculus of variations I. Springer-Verlag Berlin, 1998","DOI":"10.1007\/978-3-662-06218-0"},{"key":"629_CR9","doi-asserted-by":"crossref","unstructured":"Giaquinta, M., Modica, G., Sou\u010dek, J.: Cartesian currents in the calculus of variations II. Springer-Verlag, Berlin, 1998","DOI":"10.1007\/978-3-662-06218-0"},{"key":"629_CR10","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1090\/S0273-0979-97-00692-7","volume":"34","author":"Hardt","year":"1","unstructured":"Hardt, R.: Singularities of harmonic maps. Bull. Am. Math. Soc. (N.S.) 34(1), 15\u201334 (1997)","journal-title":"Bull. Am. Math. Soc. (N.S.)"},{"key":"629_CR11","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1002\/cpa.3160450404","volume":"45","author":"Hardt","year":"4","unstructured":"Hardt, R., Lin, F.-H., Poon, C.-C.: Axially symmetric harmonic maps minimizing a relaxed energy. Commum. Pure Appl. Math. 45(4), 417\u2013459 (1992)","journal-title":"Commum. Pure Appl. Math."},{"key":"629_CR12","doi-asserted-by":"crossref","first-page":"1416","DOI":"10.1137\/S0036142996313932","volume":"35","author":"H\u00fclsemann","year":"1998","unstructured":"H\u00fclsemann, F., Tourigny, Y.: A new moving mesh algorithm for the finite element solution of variational problems. SIAM J. Numer. Anal. 35, 1416\u20131438 (1998)","journal-title":"SIAM J. Numer. Anal."},{"key":"629_CR13","first-page":"146","volume":"343","author":"J\u00e4ger","year":"1983","unstructured":"J\u00e4ger, W., Kaul, H.: Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems. J. Reine Angew. Math. 343, 146\u2013161 (1983)","journal-title":"J. Reine Angew. Math."},{"key":"629_CR14","doi-asserted-by":"crossref","first-page":"562","DOI":"10.1006\/jcph.2001.6749","volume":"170","author":"Li","year":"2001","unstructured":"Li, R., Tang, T., Zhang, P.-W.: Moving mesh methods in multiple dimensions based on harmonic maps. J. Comput. Phys. 170, 562\u2013588 (2001)","journal-title":"J. Comput. Phys."},{"key":"629_CR15","unstructured":"Pierre, M.: Graphes et maillages adapt\u00e9s pour le calcul d'applications harmoniques minimisantes. PhD thesis, ENS Cachan France, 2002"},{"key":"629_CR16","doi-asserted-by":"crossref","unstructured":"Pierre, M.: Weak BV convergence of a moving finite element method for singular axisymmetric harmonic maps. SIAM J. Numer. Anal. (to appear)","DOI":"10.1137\/040605035"},{"key":"629_CR17","doi-asserted-by":"crossref","unstructured":"Polak, E.: Optimization, volume 124 of Applied Mathematical Sciences, Springer-Verlag, New York, 1997","DOI":"10.1007\/978-1-4612-0663-7"},{"key":"629_CR18","unstructured":"Quarteroni, A., Sacco, R., Saleri, F.: Numerical mathematics, Springer-Verlag, New-York, 2000"},{"key":"629_CR19","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/0045-7825(90)90080-6","volume":"84","author":"Rippa","year":"1990","unstructured":"Rippa, S., Schiff, B.: Minimum energy triangulations for elliptic problems. Comput. Methods Appl. Mech. Engrg. 84, 257\u2013274 (1990)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"629_CR20","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1017\/S0308210500024094","volume":"113","author":"Soyeur","year":"1989","unstructured":"Soyeur, A.: The Dirichlet problem for harmonic maps from the disc into the 2-sphere. Proc. Roy. Soc. Edinburgh Sect. A. 113, 229\u2013234 (1989)","journal-title":"Proc. Roy. Soc. Edinburgh Sect. A."}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-005-0629-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-005-0629-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-005-0629-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,27]],"date-time":"2024-01-27T16:42:41Z","timestamp":1706373761000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-005-0629-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,7,5]]},"references-count":20,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2005,9]]}},"alternative-id":["629"],"URL":"https:\/\/doi.org\/10.1007\/s00211-005-0629-y","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,7,5]]}}}