{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T14:22:02Z","timestamp":1648650122364},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2009,4,2]],"date-time":"2009-04-02T00:00:00Z","timestamp":1238630400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2009,10]]},"DOI":"10.1007\/s10915-009-9290-4","type":"journal-article","created":{"date-parts":[[2009,4,1]],"date-time":"2009-04-01T15:06:24Z","timestamp":1238598384000},"page":"118-138","source":"Crossref","is-referenced-by-count":0,"title":["Stable Interface Conditions for Discontinuous Galerkin Approximations of Navier-Stokes Equations"],"prefix":"10.1007","volume":"41","author":[{"given":"Arunasalam","family":"Rahunanthan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dan","family":"Stanescu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2009,4,2]]},"reference":[{"key":"9290_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0021-9991(81)90077-2","volume":"41","author":"S. Abarbanel","year":"1981","unstructured":"Abarbanel, S., Gottlieb, D.: Optimal time splitting for two- and three-dimensional Navier-Stokes equations with mixed derivatives. J. Comput. Phys. 41, 1\u201333 (1981)","journal-title":"J. Comput. Phys."},{"key":"9290_CR2","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1006\/jcph.1997.5454","volume":"131","author":"F. Bassi","year":"1997","unstructured":"Bassi, F., Rebay, S.: High-order accurate discontinuous Galerkin method for the numerical solution of the compressible Navier-Stokes equations. J. Comput. Phys. 131, 251\u2013285 (1997)","journal-title":"J. Comput. Phys."},{"key":"9290_CR3","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1090\/S0025-5718-07-02045-5","volume":"77","author":"Y. Cheng","year":"2008","unstructured":"Cheng, Y., Shu, C.-W.: A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Math. Comput. 77, 699\u2013730 (2008)","journal-title":"Math. Comput."},{"key":"9290_CR4","first-page":"545","volume":"54","author":"B. Cockburn","year":"1990","unstructured":"Cockburn, B., Hou, S., Shu, C.-W.: The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case. Math. Comput. 54, 545\u2013581 (1990)","journal-title":"Math. Comput."},{"key":"9290_CR5","first-page":"411","volume":"52","author":"B. Cockburn","year":"1989","unstructured":"Cockburn, B., Shu, C.-W.: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework. Math. Comput. 52, 411\u2013435 (1989)","journal-title":"Math. Comput."},{"key":"9290_CR6","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/0021-9991(89)90183-6","volume":"84","author":"B. Cockburn","year":"1989","unstructured":"Cockburn, B., Shu, C.-W.: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One dimensional systems. J. Comput. Phys. 84, 90\u2013113 (1989)","journal-title":"J. Comput. Phys."},{"issue":"6","key":"9290_CR7","doi-asserted-by":"crossref","first-page":"2440","DOI":"10.1137\/S0036142997316712","volume":"35","author":"B. Cockburn","year":"1998","unstructured":"Cockburn, B., Shu, C.-W.: The local discontinuous Galerkin method for time-dependent convection-diffusion systems. SIAM J. Numer. Anal. 35(6), 2440\u20132463 (1998)","journal-title":"SIAM J. Numer. Anal."},{"key":"9290_CR8","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1137\/0725018","volume":"25","author":"P. Dutt","year":"1988","unstructured":"Dutt, P.: Stable boundary conditions and difference schemes for Navier-Stokes equations. SIAM J. Numer. Anal. 25, 245\u2013267 (1988)","journal-title":"SIAM J. Numer. Anal."},{"key":"9290_CR9","doi-asserted-by":"crossref","first-page":"1686","DOI":"10.1073\/pnas.68.8.1686","volume":"68","author":"K.O. Friedrichs","year":"1971","unstructured":"Friedrichs, K.O., Lax, P.D.: Systems of conservation equations with a convex extension. Proc. Acad. Sci. USA 68, 1686\u20131688 (1971)","journal-title":"Proc. Acad. Sci. USA"},{"key":"9290_CR10","doi-asserted-by":"crossref","first-page":"1049","DOI":"10.1016\/j.jcp.2006.11.004","volume":"224","author":"G. Gassner","year":"2007","unstructured":"Gassner, G., L\u00f6rcher, F., Munz, C.-D.: A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes. J. Comput. Phys. 224, 1049\u20131063 (2007)","journal-title":"J. Comput. Phys."},{"key":"9290_CR11","unstructured":"Gottlieb, S., Shu, C.-W., Tadmor, E.: Strong stability preserving high-order time discretization methods, ICASE Report No. 2000-15, NASA Langley, VA"},{"key":"9290_CR12","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1137\/0135030","volume":"35","author":"B. Gustaffson","year":"1978","unstructured":"Gustaffson, B., Sundst\u00f6rm, A.: Incompletely parabolic problems in fluid dynamics. SIAM J. Appl. Math. 35, 343\u2013357 (1978)","journal-title":"SIAM J. Appl. Math."},{"key":"9290_CR13","doi-asserted-by":"crossref","first-page":"1256","DOI":"10.1137\/0522081","volume":"22","author":"L. Halpern","year":"1991","unstructured":"Halpern, L.: Artificial boundary conditions for incompletely parabolic perturbations of hyperbolic systems. SIAM J. Appl. Anal. 22, 1256\u20131283 (1991)","journal-title":"SIAM J. Appl. Anal."},{"issue":"1","key":"9290_CR14","first-page":"1","volume":"3","author":"R. Hartmann","year":"2005","unstructured":"Hartmann, R., Houston, P.: Symmetric interior penalty DG methods for the compressible Navier-Stokes equations I: Method formulation. Int. J. Numer. Anal. Model 3(1), 1\u201320 (2005)","journal-title":"Int. J. Numer. Anal. Model"},{"issue":"3","key":"9290_CR15","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1137\/S1064827594268488","volume":"17","author":"J.S. Hesthaven","year":"1996","unstructured":"Hesthaven, J.S., Gottlieb, D.: A stable penalty method for the compressible Navier-Stokes equations: I.\u00a0Open boundary conditions. SIAM J. Sci. Comput. 17(3), 579\u2013612 (1996)","journal-title":"SIAM J. Sci. Comput."},{"key":"9290_CR16","first-page":"132","volume-title":"Numerical Computation of Internal and External Flows","author":"C. Hirsch","year":"1990","unstructured":"Hirsch, C.: Numerical Computation of Internal and External Flows, vol.\u00a02, pp. 132\u2013223. Wiley\u2013Interscience, New York (1990)"},{"issue":"1","key":"9290_CR17","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.cam.2003.09.043","volume":"167","author":"S. Kutluay","year":"2004","unstructured":"Kutluay, S., Esen, A., Dag, I.: Numerical solutions of the Burgers\u2019 equation by the least-squares quadratic B-spline finite element method. J. Comput. Appl. Math. 167(1), 21\u201333 (2004)","journal-title":"J. Comput. Appl. Math."},{"key":"9290_CR18","doi-asserted-by":"crossref","first-page":"814","DOI":"10.1175\/MWR2890.1","volume":"133","author":"R.D. Nair","year":"2004","unstructured":"Nair, R.D., Thomas, S.J., Loft, R.D.: A discontinuous Galerkin transport scheme on the Cubed-Sphere. Mon. Weather Rev. 133, 814\u2013828 (2004)","journal-title":"Mon. Weather Rev."},{"key":"9290_CR19","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1016\/0045-7930(95)00006-X","volume":"24","author":"J. Nordstrom","year":"1995","unstructured":"Nordstrom, J.: The use of characteristic boundary conditions for the Navier-Stokes equations. Comput. Fluids 24, 609\u2013623 (1995)","journal-title":"Comput. Fluids"},{"key":"9290_CR20","first-page":"419","volume":"35","author":"J. Oliger","year":"1978","unstructured":"Oliger, J., Sundstr\u00f6m, A.: Theoretical and practical aspects of some initial boundary value problems in fluid dynamics. SIAM J. Appl. Anal. 35, 419\u2013446 (1978)","journal-title":"SIAM J. Appl. Anal."},{"key":"9290_CR21","unstructured":"Reed, W.H., Hill, T.R.: Triangular mesh methods for the neutron transport equation. Technical Report LA-UR-73-479, Los Alamos Scientific Laboratory (1973)"},{"key":"9290_CR22","first-page":"144","volume-title":"Advances in Scientific Computing","author":"C.-W. Shu","year":"2001","unstructured":"Shu, C.-W.: Different formulations of the Discontinuous Galerkin Method for the viscous terms. In: Shi, Z.-C., Mu, M., Xue, W., Zou, J. (eds.) Advances in Scientific Computing, pp. 144\u2013155. Science Press, Beijing (2001)"},{"key":"9290_CR23","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1016\/0021-9991(88)90177-5","volume":"77","author":"C.-W. Shu","year":"1988","unstructured":"Shu, C.-W., Osher, S.: Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phys. 77, 439\u2013471 (1988)","journal-title":"J. Comput. Phys."},{"key":"9290_CR24","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1016\/S0022-460X(02)01126-4","volume":"263","author":"D. Stanescu","year":"2003","unstructured":"Stanescu, D., Hussaini, M.Y., Farassat, F.: Aircraft engine noise scattering by fuselage and wings: A\u00a0computational approach. J. Sound Vib. 263, 319\u2013333 (2003)","journal-title":"J. Sound Vib."},{"issue":"124","key":"9290_CR25","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1090\/S0025-5718-1973-0329279-3","volume":"27","author":"E. Turkel","year":"1973","unstructured":"Turkel, E.: Symmetrization of the fluid dynamic matrices with applications. Math. Comput. 27(124), 729\u2013736 (1973)","journal-title":"Math. Comput."},{"issue":"132","key":"9290_CR26","doi-asserted-by":"crossref","first-page":"1037","DOI":"10.1090\/S0025-5718-1975-0388967-5","volume":"29","author":"R.F. Warming","year":"1975","unstructured":"Warming, R.F., Beam, R.M., Hyett, B.J.: Diagonalization and simultaneous symmetrization of the gas-dynamic matrices. Math. Comput. 29(132), 1037\u20131045 (1975)","journal-title":"Math. Comput."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-009-9290-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-009-9290-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-009-9290-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T04:41:31Z","timestamp":1559450491000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-009-9290-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,4,2]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,10]]}},"alternative-id":["9290"],"URL":"https:\/\/doi.org\/10.1007\/s10915-009-9290-4","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,4,2]]}}}