{"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":1725555824586},"publisher-location":"Berlin, Heidelberg","reference-count":15,"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_79","type":"book-chapter","created":{"date-parts":[[2010,5,8]],"date-time":"2010-05-08T15:53:31Z","timestamp":1273334011000},"page":"662-670","source":"Crossref","is-referenced-by-count":4,"title":["Mimetic Least-Squares Spectral\/hp Finite Element Method for the Poisson Equation"],"prefix":"10.1007","author":[{"given":"Artur","family":"Palha","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marc","family":"Gerritsma","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"79_CR1","first-page":"89","volume":"142","author":"P. Bochev","year":"2006","unstructured":"Bochev, P., Hyman, J.: Principles of mimetic discretizations of differential operators. IMA\u00a0142, 89\u2013119 (2006)","journal-title":"IMA"},{"key":"79_CR2","unstructured":"Bochev, P.: Discourse on variational and geometric aspects of stability of discretizations. 33rd Computational Fluid Dynamics Lecture Series, VKI LS 2003-2005 (2003)"},{"key":"79_CR3","unstructured":"Bochev, P., Robinson, A.C.: Matching algorithms with physics: exact sequences of finite element spaces. In: Estep, D., Tavener, S. (eds.) Collected lectures on preservation of stability under discretization. SIAM, Philadelphia"},{"key":"79_CR4","unstructured":"Bossavit, A.: On the geometry of electromagnetism. J. Japan Soc. Appl. Electromagn. & Mech.\u00a06 (1998)"},{"key":"79_CR5","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139171786","volume-title":"Applied differential geometry","author":"W.L. Burke","year":"1985","unstructured":"Burke, W.L.: Applied differential geometry. Cambridge University Press, Cambridge (1985)"},{"key":"79_CR6","doi-asserted-by":"crossref","unstructured":"Demkowicz, L.: Computing with hp-adaptive finite elements, vol.\u00a01. Chapman and Hall\/CRC (2007)","DOI":"10.1201\/9781420011685"},{"key":"79_CR7","doi-asserted-by":"crossref","unstructured":"Desbrun, M., Kanso, E., Tong, Y.: Discrete differential forms for computational modeling. In: SIGGRAPH 2005: ACM SIGGRAPH 2005 Courses (2005)","DOI":"10.1145\/1198555.1198666"},{"key":"79_CR8","volume-title":"Differential forms with applications to the physical sciences","author":"H. Flanders","year":"1963","unstructured":"Flanders, H.: Differential forms with applications to the physical sciences. Academic Press, Inc., New York (1963)"},{"key":"79_CR9","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1023\/A:1015121219065","volume":"17","author":"M. Proot","year":"2002","unstructured":"Proot, M., Gerritsma, M.: A least-squares spectral element formulation for the Stokes problem. J. Sci. Computing\u00a017, 285\u2013296 (2002)","journal-title":"J. Sci. Computing"},{"key":"79_CR10","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1007\/s002110100295","volume":"90","author":"R. Hiptmair","year":"2001","unstructured":"Hiptmair, R.: Discrete Hodge operators. Numer. Math.\u00a090, 265\u2013289 (2001)","journal-title":"Numer. Math."},{"key":"79_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03740-9","volume-title":"The least squares finite element method: theory and applications in computational fluid dynamics and electromagnetics","author":"B. Jiang","year":"1998","unstructured":"Jiang, B.: The least squares finite element method: theory and applications in computational fluid dynamics and electromagnetics. Springer, Heidelberg (1998)"},{"key":"79_CR12","doi-asserted-by":"publisher","first-page":"244","DOI":"10.1006\/jcph.1996.0091","volume":"125","author":"D.A. Kopriva","year":"1996","unstructured":"Kopriva, D.A., Kolias, J.H.: A Conservative Staggered-Grid Chebyshev Multidomain Method for Compressible Flows. Journal of Computational Physics\u00a0125, 244\u2013261 (1996)","journal-title":"Journal of Computational Physics"},{"key":"79_CR13","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1006\/jcph.1997.5656","volume":"133","author":"C. Mattiussi","year":"1997","unstructured":"Mattiussi, C.: An analysis of finite volume, finite element, and finite difference methods using some concepts from algebraic topology. J. Comp. Physics\u00a0133, 289\u2013309 (1997)","journal-title":"J. Comp. Physics"},{"issue":"1-3","key":"79_CR14","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1007\/s10915-005-9030-3","volume":"27","author":"M.M.J. Proot","year":"2007","unstructured":"Proot, M.M.J., Gerritsma, M.I.: Mass- and momentum conservation of the least-squares spectral element method for the Stokes problem. Journal of Scientific Computing\u00a027(1-3), 389\u2013401 (2007)","journal-title":"Journal of Scientific Computing"},{"key":"79_CR15","volume-title":"On the formal structure of physical theories","author":"E. Tonti","year":"1975","unstructured":"Tonti, E.: On the formal structure of physical theories. Consiglio Nazionale delle Ricerche, Milano (1975)"}],"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_79.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,27]],"date-time":"2021-10-27T12:46:28Z","timestamp":1635338788000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-12535-5_79"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642125348","9783642125355"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-12535-5_79","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}