{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,25]],"date-time":"2025-10-25T11:50:08Z","timestamp":1761393008287,"version":"3.41.0"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"1-4","license":[{"start":{"date-parts":[[2002,12,1]],"date-time":"2002-12-01T00:00:00Z","timestamp":1038700800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2002,12,1]],"date-time":"2002-12-01T00:00:00Z","timestamp":1038700800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Scientific Computing"],"published-print":{"date-parts":[[2002,12]]},"DOI":"10.1023\/a:1015173203136","type":"journal-article","created":{"date-parts":[[2002,12,28]],"date-time":"2002-12-28T22:32:56Z","timestamp":1041114776000},"page":"297-306","source":"Crossref","is-referenced-by-count":28,"title":["Analysis of a Discontinuous Least Squares Spectral Element Method"],"prefix":"10.1007","volume":"17","author":[{"given":"Marc I.","family":"Gerritsma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michael M. J.","family":"Proot","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"4","key":"368218_CR1","doi-asserted-by":"crossref","first-page":"789","DOI":"10.1137\/S0036144597321156","volume":"40","author":"P. B. Bochev","year":"1998","unstructured":"Bochev, P. B., and Gunzburger, M. D. (1998). Finite element methods of least-squares type. SIAM Rev.\n40(4), 789\u2013837.","journal-title":"SIAM Rev."},{"key":"368218_CR2","doi-asserted-by":"crossref","unstructured":"Brezzi, F., and Marini, L. D. (1994). A three-field domain decomposition method. In Quarteroni et al. (eds), Domain Decomposition Methods in Science and Engineering.","DOI":"10.1090\/conm\/157\/01402"},{"key":"368218_CR3","doi-asserted-by":"crossref","unstructured":"Canuto, C., Hussaini, M. Y., Quarteroni, A., and Zang, Th. A. (1987). Spectral Methods in Fluid Dynamics, Springer Series in Computational Physics, Springer-Verlag.","DOI":"10.1007\/978-3-642-84108-8"},{"issue":"6","key":"368218_CR4","doi-asserted-by":"crossref","first-page":"1785","DOI":"10.1137\/0731091","volume":"31","author":"Z. Cai","year":"1994","unstructured":"Cai, Z., Manteuffel, T. A., and McCormick, S. F. (1994). First-order system least squares for second-order partial differential equations: Part I. SIAM J. Mumer. Anal.\n31(6), 1785\u20131799.","journal-title":"SIAM J. Mumer. Anal."},{"issue":"1","key":"368218_CR5","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1137\/S0036142996303249","volume":"35","author":"Y. Cao","year":"1998","unstructured":"Cao, Y., and Gunzburger, M. D. (1998). Least-squares finite element approximations to solutions of interface problems. SIAM J. Numer Anal.\n35(1), 393\u2013495.","journal-title":"SIAM J. Numer Anal."},{"key":"368218_CR6","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1002\/num.1690020304","volume":"2","author":"D. Funaro","year":"1986","unstructured":"Funaro, D. (1986). A multidomain spectral approximation of elliptic equations. Num. Meth. for PDEs\n2, 187\u2013205.","journal-title":"Num. Meth. for PDEs"},{"issue":"184","key":"368218_CR7","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1090\/S0025-5718-1988-0958637-X","volume":"51","author":"D. Funaro","year":"1988","unstructured":"Funaro, D., and Gottlieb, D. (1988). A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations. Math. of Comp.\n51(184), 599\u2013613.","journal-title":"Math. of Comp."},{"issue":"196","key":"368218_CR8","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1090\/S0025-5718-1991-1094950-6","volume":"57","author":"D. Funaro","year":"1991","unstructured":"Funaro, D., and Gottlieb, D. (1991). Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment. Math. of Comp.\n57(196), 585\u2013596.","journal-title":"Math. of Comp."},{"key":"368218_CR9","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1006\/jcph.1995.1208","volume":"122","author":"R. D. Henderson","year":"1995","unstructured":"Henderson, R. D., and Karniadakis, G. E. M. (1995). Unstructured spectral element methods for simulation of turbulent flows. J. Comp. Phys.\n122, 191\u2013217.","journal-title":"J. Comp. Phys."},{"key":"368218_CR10","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/S0168-9274(99)00068-9","volume":"33","author":"J. S. Hesthaven","year":"2000","unstructured":"Hesthaven, J. S. (2000). Spectral penalty methods. Appl. Num. Math.\n33, 23\u201341.","journal-title":"Appl. Num. Math."},{"key":"368218_CR11","doi-asserted-by":"crossref","unstructured":"Jiang, B. N. (1998). The Least-Squares Finite Element Method-Theory and Applications in Computational Fluid Dynamics and Electromagnetics, Springer.","DOI":"10.1007\/978-3-662-03740-9"},{"key":"368218_CR12","unstructured":"Karniadakis, G. E. M., and Sherwin, S. J. (1999). Spectral\/hp Element methods for CFD, Oxford University Press."},{"key":"368218_CR13","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/0377-0427(94)90045-0","volume":"53","author":"R. G. Owens","year":"1994","unstructured":"Owens, R. G., and Phillips, T. N. (1994). Mass-and momentum-conserving spectral methods for Stokes flow. J. Comp. Appl. Math.\n53, 185\u2013206.","journal-title":"J. Comp. Appl. Math."},{"key":"368218_CR14","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1023\/A:1015121219065","volume":"17","author":"M. M. J. Proot","year":"2002","unstructured":"Proot, M. M. J., and Gerritsma, M. I. (2002). A least-squares spectral element formulation for the Stokes problem. J. Sci. Comput.\n17, 285\u2013296.","journal-title":"J. Sci. Comput."},{"key":"368218_CR15","unstructured":"Proot, M. M. J., and Gerritsma, M. I. Least-squares spectral element method applied to the stokes problem: The best of all worlds?, submitted to SIAM J. Sci. Comp."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1015173203136.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1015173203136\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1015173203136.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T09:23:13Z","timestamp":1751620993000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1015173203136"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,12]]},"references-count":15,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[2002,12]]}},"alternative-id":["368218"],"URL":"https:\/\/doi.org\/10.1023\/a:1015173203136","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"type":"print","value":"0885-7474"},{"type":"electronic","value":"1573-7691"}],"subject":[],"published":{"date-parts":[[2002,12]]}}}