{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T08:24:31Z","timestamp":1698654271211},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2007,10,9]],"date-time":"2007-10-09T00:00:00Z","timestamp":1191888000000},"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":[[2007,10,26]]},"DOI":"10.1007\/s10915-007-9154-8","type":"journal-article","created":{"date-parts":[[2007,10,8]],"date-time":"2007-10-08T18:41:34Z","timestamp":1191868894000},"page":"313-348","source":"Crossref","is-referenced-by-count":6,"title":["A Pseudospectral Penalty Scheme for 2D Isotropic Elastic Wave Computations"],"prefix":"10.1007","volume":"33","author":[{"given":"Ko-An","family":"Feng","sequence":"first","affiliation":[]},{"given":"Chun-Hao","family":"Teng","sequence":"additional","affiliation":[]},{"given":"Min-Hung","family":"Chen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,10,9]]},"reference":[{"key":"9154_CR1","doi-asserted-by":"crossref","first-page":"1911","DOI":"10.1190\/1.1443578","volume":"59","author":"J.M. Carcion","year":"1994","unstructured":"Carcion, J.M.: The wave equation in generalized coordinates. Geophysics 59, 1911\u20131919 (1994)","journal-title":"Geophysics"},{"key":"9154_CR2","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/0045-7825(95)00896-9","volume":"130","author":"J.M. Carcion","year":"1996","unstructured":"Carcion, J.M.: A 2D Chebyshev differential operator for the elastic wave equation. Comput. Methods Appl. Mech. Eng. 130, 33\u201345 (1996)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9154_CR3","unstructured":"Carpenter, M.H., Kennedy, C.A.: Fourth order 2N-storage Runge-Kutta scheme. NASA-TM-109112 (NASA Langley Research Center, VA) (1994)"},{"key":"9154_CR4","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1006\/jcph.1996.0234","volume":"129","author":"M.H. Carpenter","year":"1996","unstructured":"Carpenter, M.H., Gottlieb, D.: Spectral methods on arbitrary grids. J. Comput. Phys. 129, 74\u201386 (1996)","journal-title":"J. Comput. Phys."},{"key":"9154_CR5","doi-asserted-by":"crossref","first-page":"1519","DOI":"10.1137\/0731079","volume":"31","author":"W.S. Don","year":"1994","unstructured":"Don, W.S., Gottlieb, D.: The Chebyshev-Legendre method: Implementing Legendre methods on Chebyshev points. SIAM J. Numer. Anal. 31, 1519\u20131534 (1994)","journal-title":"SIAM J. Numer. Anal."},{"key":"9154_CR6","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1111\/j.1365-246X.2006.03120.x","volume":"167","author":"M. Dumbser","year":"2006","unstructured":"Dumbser, M., K\u00e4ser, M.: An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes II. The three-dimension isotropic case. Geophys. J. Int. 167, 319\u2013336 (2006)","journal-title":"Geophys. J. Int."},{"key":"9154_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., Gottlieb, D.: A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations. Math. Comput. 51, 599\u2013613 (1988)","journal-title":"Math. Comput."},{"key":"9154_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., Gottlieb, D.: Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment. Math. Comput. 57, 585\u2013596 (1991)","journal-title":"Math. Comput."},{"key":"9154_CR9","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/BF01436298","volume":"21","author":"W.J. Gordon","year":"1973","unstructured":"Gordon, W.J., Hall, C.A.: Transfinite element methods: Blending-function interpolation over arbitrary curved element domains. Numer. Math. 21, 109\u2013129 (1973)","journal-title":"Numer. Math."},{"key":"9154_CR10","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1002\/nme.1620070405","volume":"7","author":"W.J. Gordon","year":"1973","unstructured":"Gordon, W.J., Hall, C.A.: Construction of curvilinear co-ordinate systems and applications to mesh generations. Int. J. Numer. Methods Eng. 7, 461\u2013477 (1973)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"9154_CR11","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/S0377-0427(00)00510-0","volume":"128","author":"D. Gottlieb","year":"2001","unstructured":"Gottlieb, D., Hesthaven, J.S.: Spectral methods for hyperbolic problems. J. Comput. Appl. Math. 128, 83\u2013131 (2001)","journal-title":"J. Comput. Appl. Math."},{"key":"9154_CR12","doi-asserted-by":"crossref","first-page":"658","DOI":"10.1137\/S1064827594276540","volume":"18","author":"J.S. Hesthaven","year":"1997","unstructured":"Hesthaven, J.S.: A stable penalty method for the compressible Navier-Stokes equations II. One-dimensional domain decomposition schemes. SIAM J. Sci. Comput. 18, 658\u2013685 (1997)","journal-title":"SIAM J. Sci. Comput."},{"key":"9154_CR13","first-page":"63","volume":"20","author":"J.S. Hesthaven","year":"1999","unstructured":"Hesthaven, J.S.: A stable penalty method for the compressible Navier-Stokes equations III. Multi dimensional domain decomposition schemes. SIAM J. Sci. Comput. 20, 63\u201392 (1999)","journal-title":"SIAM J. Sci. Comput."},{"key":"9154_CR14","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.: Spectral penalty methods. Appl. Numer. Math. 33, 23\u201341 (2000)","journal-title":"Appl. Numer. Math."},{"key":"9154_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. Open boundary conditions. SIAM J. Sci. Comput. 17, 579\u2013612 (1996)","journal-title":"SIAM J. Sci. Comput."},{"key":"9154_CR16","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1016\/S0045-7825(98)00361-2","volume":"175","author":"J.S. Hesthaven","year":"1999","unstructured":"Hesthaven, J.S., Gottlieb, D.: Stable spectral methods for conservation laws on triangles with unstructured grids. Comput. Methods Appl. Mech. Eng. 175, 361\u2013381 (1999)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9154_CR17","doi-asserted-by":"crossref","first-page":"8207","DOI":"10.1088\/0305-4470\/30\/23\/019","volume":"30","author":"J.S. Hesthaven","year":"1997","unstructured":"Hesthaven, J.S., Rasmussen, J.J., Berg\u00e8, L., Wyller, J.: Numerical studies of localized wave fields governed by the Raman-extended derivative nonlinear Schr\u00f6dinger equation. J. Phys. A: Math. Gen. 30, 8207\u20138224 (1997)","journal-title":"J. Phys. A: Math. Gen."},{"key":"9154_CR18","doi-asserted-by":"crossref","first-page":"2353","DOI":"10.1137\/S1064827598343723","volume":"21","author":"J.S. Hesthaven","year":"2000","unstructured":"Hesthaven, J.S., Teng, C.H.: Stable spectral methods on tetrahedral elements. SIAM J. Sci. Comput. 21, 2353\u20132380 (2000)","journal-title":"SIAM J. Sci. Comput."},{"key":"9154_CR19","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1006\/jcph.2002.7118","volume":"181","author":"J.S. Hesthaven","year":"2002","unstructured":"Hesthaven, J.S., Warburton, T.: Nodal high-order methods on unstructured grids I. Time-domain solution of Maxwell\u2019s equations. J. Comput. Phys. 181, 186\u2013221 (2002)","journal-title":"J. Comput. Phys."},{"key":"9154_CR20","first-page":"585","volume":"57","author":"H. Igel","year":"1999","unstructured":"Igel, H.: Wave propagation in three-dimensional spherical sections by the Chebyshev spectral method. J.\u00a0Comput. Phys. 57, 585\u2013596 (1999)","journal-title":"J.\u00a0Comput. Phys."},{"key":"9154_CR21","doi-asserted-by":"crossref","first-page":"855","DOI":"10.1111\/j.1365-246X.2006.03051.x","volume":"166","author":"M. K\u00e4ser","year":"2006","unstructured":"K\u00e4ser, M., Dumbser, M.: An arbitray high-order discontinuous Galerkin method for elastic waves on unstructured meshes\u2014I. The two-dimensional isotropic case with external source terms. Geophys. J. Int. 166, 855\u2013877 (2006)","journal-title":"Geophys. J. Int."},{"key":"9154_CR22","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1111\/j.1365-246X.2006.03193.x","volume":"168","author":"M. K\u00e4ser","year":"2007","unstructured":"K\u00e4ser, M., Dumbser, M., Puente, J., Igel, H.: An arbitray high-order discontinuous Galerkin method for elastic waves on unstructured meshes\u2014III. Viscoelastic attenuation. Geophys. J. Int. 168, 224\u2013242 (2007)","journal-title":"Geophys. J. Int."},{"key":"9154_CR23","doi-asserted-by":"crossref","first-page":"806","DOI":"10.1046\/j.1365-246x.1999.00967.x","volume":"139","author":"D. Komatitsch","year":"1999","unstructured":"Komatitsch, D., Tromp, J.: Introduction to the spectral-element method for 3-D seismic wave propagation. Geophys. J. Int. 139, 806\u2013822 (1999)","journal-title":"Geophys. J. Int."},{"key":"9154_CR24","doi-asserted-by":"crossref","first-page":"390","DOI":"10.1046\/j.1365-246X.2002.01653.x","volume":"149","author":"D. Komatitsch","year":"2002","unstructured":"Komatitsch, D., Tromp, J.: Spectral-element simulations of global seismic wave propagation\u2014I. Validation. Geophys. J. Int. 149, 390\u2013412 (2002)","journal-title":"Geophys. J. Int."},{"key":"9154_CR25","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1785\/BSSA0880020368","volume":"88","author":"D. Komatitsch","year":"1998","unstructured":"Komatitsch, D., Vilotte, J.P.: The spectral-element method: An efficients tool to simulate the seismic response of 2D and 3D geological structures. Bull. Seismol. Soc. Am. 88, 368\u2013392 (1998)","journal-title":"Bull. Seismol. Soc. Am."},{"key":"9154_CR26","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/S0041-624X(02)00133-6","volume":"40","author":"S.A. Nielsen","year":"2002","unstructured":"Nielsen, S.A., Hesthaven, J.S.: A multi-domain Chebyshev collocation method for predicting ultrasonic field parameters in complex material geometries. Ultrasonics 40, 177\u2013180 (2002)","journal-title":"Ultrasonics"},{"key":"9154_CR27","doi-asserted-by":"crossref","first-page":"681","DOI":"10.1121\/1.408428","volume":"95","author":"E. Priolo","year":"1994","unstructured":"Priolo, E., Carcione, J.M., Seriani, G.: Numerical simulation of interface waves by high-order spectral modeling techniques. J. Acoust. Soc. Am. 95, 681\u2013693 (1994)","journal-title":"J. Acoust. Soc. Am."},{"key":"9154_CR28","doi-asserted-by":"crossref","first-page":"1002","DOI":"10.1785\/0120030103","volume":"94","author":"Y.Q. Zeng","year":"2004","unstructured":"Zeng, Y.Q., Liu, Q.H.: A multidomain PSTD method for 3D elastic wave equations. Bull. Seismol. Soc. Am. 94, 1002\u20131015 (2004)","journal-title":"Bull. Seismol. Soc. Am."},{"key":"9154_CR29","volume-title":"Wave Propagation in Elastic Solids","author":"J.D. Achenbach","year":"1973","unstructured":"Achenbach, J.D.: Wave Propagation in Elastic Solids. North-Holland\/Elsevier, Amsterdam\/New York (1973)"},{"key":"9154_CR30","series-title":"Springer Series on Wave Phenomena","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-85034-9","volume-title":"Mechanics of Continua and Wave Dynamics","author":"L.M. Brekhovskikh","year":"1994","unstructured":"Brekhovskikh, L.M., Goncharov, V.: Mechanics of Continua and Wave Dynamics, 2nd edn. Springer Series on Wave Phenomena, vol.\u00a01. Springer, New York (1994)","edition":"2"},{"key":"9154_CR31","series-title":"Springer Series in Computational Physics","volume-title":"Spectral Methods in Fluid Dynamics","author":"C. Canuto","year":"1986","unstructured":"Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A.: Spectral Methods in Fluid Dynamics. Springer Series in Computational Physics. Springer, New York (1986)"},{"key":"9154_CR32","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-46783-0","volume-title":"Polynomial Approximation of Differential Equations","author":"D. Funaro","year":"1992","unstructured":"Funaro, D.: Polynomial Approximation of Differential Equations. Springer, New York (1992)"},{"key":"9154_CR33","unstructured":"Funaro, D., FORTRAN routines for spectral methods. Available with software at: http:\/\/cdm.unimo.it\/home\/matematica\/funaro.daniele\/rout.htm"},{"key":"9154_CR34","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-59185-3","volume-title":"Spectral Elements for Transport-Dominated Equations","author":"D. Funaro","year":"1997","unstructured":"Funaro, D.: Spectral Elements for Transport-Dominated Equations. Springer, New York (1997)"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-007-9154-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-007-9154-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-007-9154-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,14]],"date-time":"2023-05-14T10:23:14Z","timestamp":1684059794000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-007-9154-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,10,9]]},"references-count":34,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2007,10,26]]}},"alternative-id":["9154"],"URL":"https:\/\/doi.org\/10.1007\/s10915-007-9154-8","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,10,9]]}}}