{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T17:03:44Z","timestamp":1725555824585},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642125348"},{"type":"electronic","value":"9783642125355"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-12535-5_81","type":"book-chapter","created":{"date-parts":[[2010,5,8]],"date-time":"2010-05-08T15:53:31Z","timestamp":1273334011000},"page":"679-686","source":"Crossref","is-referenced-by-count":0,"title":["The Automatic Construction and Solution of a Partial Differential Equation from the Strong Form"],"prefix":"10.1007","author":[{"given":"Joseph","family":"Young","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"unstructured":"Awanou, G., Lai, M.J., Wenston, P.: The multivariate spline method for scattered data fitting and numerical solution of partial differential equations. In: Chen, G., Lai, M.J. (eds.) Wavelets and Splines: Athens 2005, pp. 24\u201374. Nashboro Press (2006)","key":"81_CR1"},{"issue":"4","key":"81_CR2","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1145\/1268776.1268779","volume":"33","author":"W. Bangerth","year":"2007","unstructured":"Bangerth, W., Hartmann, R., Kanschat, G.: deal.II\u2013a general purpose object-oriented finite element library. ACM Transactions on Mathematical Software\u00a033(2) (August 2007)","journal-title":"ACM Transactions on Mathematical Software"},{"issue":"4","key":"81_CR3","doi-asserted-by":"publisher","first-page":"789","DOI":"10.1137\/S0036144597321156","volume":"40","author":"P.B. Bochev","year":"1998","unstructured":"Bochev, P.B., Gunzburger, M.D.: Finite element methods of least-squares type. SIAM Review\u00a040(4), 789\u2013837 (1998)","journal-title":"SIAM Review"},{"key":"81_CR4","volume-title":"Least-Squares: Finite Element Methods","author":"P.B. Bochev","year":"2009","unstructured":"Bochev, P.B., Gunzburger, M.D.: Least-Squares: Finite Element Methods. Springer, Heidelberg (2009)"},{"unstructured":"de Boor, C.: B-form basics. In: Farin, G. (ed.) Geometric Modeling: Algorithms and New Trends (1987)","key":"81_CR5"},{"issue":"5","key":"81_CR6","doi-asserted-by":"publisher","first-page":"3395","DOI":"10.1109\/20.717799","volume":"34","author":"P. Dular","year":"1998","unstructured":"Dular, P., Geuzaine, C., Henrotte, F., Legros, W.: A general environment for the treatment of discrete problems and its application to the finite element method. IEEE Transactions on Magnetics\u00a034(5), 3395\u20133398 (1998)","journal-title":"IEEE Transactions on Magnetics"},{"unstructured":"Dupont, T., Hoffman, J., Johnson, C., Kirby, R., Larson, M., Logg, A., Scott, R.: The FEniCS project, PREPRINT 2003-21 (2003)","key":"81_CR7"},{"key":"81_CR8","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1016\/0167-8396(86)90016-6","volume":"3","author":"G. Farin","year":"1986","unstructured":"Farin, G.: Triangular Bernstein-B\u00e9zier patches. Computed Aided Geometric Design\u00a03, 83\u2013127 (1986)","journal-title":"Computed Aided Geometric Design"},{"unstructured":"Hecht, F., Pironneau, O., Hyaric, A.L., Ohtsuka, K.: Freefem++, 2nd edn., Version 2.24-2-2, www.freefem.org","key":"81_CR9"},{"unstructured":"Logg, A.: Automating the finite element method. Sixth Winter School in Computational Mathematics (March 2006)","key":"81_CR10"},{"doi-asserted-by":"crossref","unstructured":"Long, K.: Sundance 2.0 tutorial. Technical Report SAND2004-4793, Sandia National Laboratory (July 2004)","key":"81_CR11","DOI":"10.2172\/974896"},{"key":"81_CR12","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-04919-8","volume-title":"B\u00e9zier and B-Spline Techniques","author":"H. Prautzsch","year":"2002","unstructured":"Prautzsch, H., Boehm, W., Paluszny, M.: B\u00e9zier and B-Spline Techniques. Springer, Heidelberg (2002)"},{"key":"81_CR13","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1007\/s11075-008-9175-x","volume":"48","author":"L.L. Schumaker","year":"2008","unstructured":"Schumaker, L.L.: Computing bivariate splines in scattered data fitting and the finite-element method. Numerical Algorithms\u00a048, 237\u2013260 (2008)","journal-title":"Numerical Algorithms"},{"key":"81_CR14","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/j.apnum.2002.01.001","volume":"48","author":"J. Zheng","year":"2004","unstructured":"Zheng, J., Sederberg, T.W., Johnson, R.W.: Least squares methods for solving differential equations using B\u00e9zier control points. Applied Numerical Mathematics\u00a0(48), 237\u2013252 (2004)","journal-title":"Applied Numerical Mathematics"}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-12535-5_81.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,24]],"date-time":"2020-11-24T02:54:54Z","timestamp":1606186494000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-12535-5_81"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642125348","9783642125355"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-12535-5_81","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}