{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T18:49:13Z","timestamp":1773082153041,"version":"3.50.1"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2008,11,12]],"date-time":"2008-11-12T00:00:00Z","timestamp":1226448000000},"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":[[2009,4]]},"DOI":"10.1007\/s10915-008-9253-1","type":"journal-article","created":{"date-parts":[[2008,11,11]],"date-time":"2008-11-11T20:52:29Z","timestamp":1226436749000},"page":"129-143","source":"Crossref","is-referenced-by-count":14,"title":["Overlapping Yee FDTD Method on Nonorthogonal Grids"],"prefix":"10.1007","volume":"39","author":[{"given":"Jinjie","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Moysey","family":"Brio","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jerome V.","family":"Moloney","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2008,11,12]]},"reference":[{"key":"9253_CR1","doi-asserted-by":"crossref","DOI":"10.1142\/0784","volume-title":"Light Scattering by Particles: Computational Methods","author":"P.W. Barber","year":"1990","unstructured":"Barber, P.W., Hill, S.C.: Light Scattering by Particles: Computational Methods. World Scientific, Singapore (1990)"},{"issue":"4","key":"9253_CR2","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1142\/S0218195900000206","volume":"10","author":"M.W. Bern","year":"2000","unstructured":"Bern, M.W., Eppstein, D.: Quadrilateral meshing by circle packing. Int. J. Comput. Geom. Appl. 10(4), 347\u2013360 (2000)","journal-title":"Int. J. Comput. Geom. Appl."},{"key":"9253_CR3","volume-title":"Absorption and Scattering of Light by Small Particles","author":"C.F. Bohren","year":"1983","unstructured":"Bohren, C.F., Huffman, D.R.: Absorption and Scattering of Light by Small Particles. Wiley, New York (1983)"},{"key":"9253_CR4","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/S0021-9991(03)00269-9","volume":"190","author":"W. Cai","year":"2003","unstructured":"Cai, W., Deng, S.: An upwinding embedded boundary method for Maxwell\u2019s equations in media with material interfaces: 2D case. J. Comput. Phys. 190, 159\u2013183 (2003)","journal-title":"J. Comput. Phys."},{"key":"9253_CR5","doi-asserted-by":"crossref","first-page":"1518","DOI":"10.1109\/8.97384","volume":"39","author":"A.C. Cangellaris","year":"1991","unstructured":"Cangellaris, A.C., Wright, D.B.: Analysis of the numerical error caused by the stair-stepped approximation of a conducting boundary in FDTD simulations of electromagnetic phenomena. IEEE Trans. Antennas Propag. 39, 1518\u20131525 (1991)","journal-title":"IEEE Trans. Antennas Propag."},{"key":"9253_CR6","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1145\/160985.161150","volume-title":"SCG \u201993: Proceedings of the Ninth Annual Symposium on Computational Geometry","author":"L.P. Chew","year":"1993","unstructured":"Chew, L.P.: Guaranteed-quality mesh generation for curved surfaces. In: SCG \u201993: Proceedings of the Ninth Annual Symposium on Computational Geometry, pp. 274\u2013280. ACM, New York (1993)"},{"issue":"2","key":"9253_CR7","doi-asserted-by":"crossref","first-page":"1393","DOI":"10.1109\/22.536021","volume":"44","author":"S. Gedney","year":"1996","unstructured":"Gedney, S., Lansing, F., Rascoe, D.: Full wave analysis of microwave monolithic circuit devices using a generalized Yee-algorithm based on an unstructured grid. IEEE Trans. Microw. Theory Tech. 44(2), 1393\u20131400 (1996)","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"9253_CR8","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1109\/8.833072","volume":"48","author":"S. Gedney","year":"2000","unstructured":"Gedney, S., Roden, J.A.: Numerical stability of nonorthogonal FDTD methods. IEEE Trans. Antennas Propag. 48, 231\u2013239 (2000)","journal-title":"IEEE Trans. Antennas Propag."},{"issue":"2","key":"9253_CR9","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1109\/22.120108","volume":"40","author":"J.-F. Lee","year":"1992","unstructured":"Lee, J.-F., Palandech, R., Mittra, R.: Modeling three-dimensional discontinuities in waveguide using nonorthogonal FDTD algorithm. IEEE Trans. Microw. Theory Tech. 40(2), 346\u2013352 (1992)","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"9253_CR10","unstructured":"Liu, J., Brio, M., Moloney, J.V.: Computation of optical forces on nanoparticles using FDTD technique. Preprint (2008)"},{"key":"9253_CR11","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/j.jcp.2005.03.014","volume":"209","author":"Y. Liu","year":"2005","unstructured":"Liu, Y.: Central schemes on overlapping cells. J. Comput. Phys. 209, 82\u2013104 (2005)","journal-title":"J. Comput. Phys."},{"key":"9253_CR12","doi-asserted-by":"crossref","first-page":"2442","DOI":"10.1137\/060666974","volume":"45","author":"Y. Liu","year":"2007","unstructured":"Liu, Y., Shu, C.-W., Tadmor, E., Zhang, M.: Central discontinuous Galerkin methods on overlapping cells with a non-oscillatory hierarchical reconstruction. SIAM J. Numer. Anal. 45, 2442\u20132467 (2007)","journal-title":"SIAM J. Numer. Anal."},{"issue":"5","key":"9253_CR13","first-page":"933","volume":"2","author":"Y. Liu","year":"2007","unstructured":"Liu, Y., Shu, C.-W., Tadmor, E., Zhang, M.: Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Commun. Comput. Phys. 2(5), 933\u2013963 (2007)","journal-title":"Commun. Comput. Phys."},{"key":"9253_CR14","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1006\/jcph.1995.1114","volume":"119","author":"N. Madsen","year":"1995","unstructured":"Madsen, N.: Divergence preserving discrete surface integral methods for Maxwell\u2019s curl equations using non-orthogonal unstructured grids. J. Comput. Phys. 119, 34\u201345 (1995)","journal-title":"J. Comput. Phys."},{"key":"9253_CR15","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1016\/0165-2125(88)90013-3","volume":"10","author":"N. Madsen","year":"1988","unstructured":"Madsen, N., Ziolkowski, R.: Numerical solution of Maxwell\u2019s equations in the time domain using irregular nonorthogonal grids. Wave Motion 10, 583\u2013596 (1988)","journal-title":"Wave Motion"},{"key":"9253_CR16","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1080\/02726349008908233","volume":"10","author":"N. Madsen","year":"1990","unstructured":"Madsen, N., Ziolkowski, R.: A 3-dimensional modified finite volume technique for Maxwell equations. Electromagnetics 10, 147\u2013161 (1990)","journal-title":"Electromagnetics"},{"key":"9253_CR17","doi-asserted-by":"crossref","first-page":"2751","DOI":"10.1109\/20.717639","volume":"3","author":"R. Schuhmann","year":"1998","unstructured":"Schuhmann, R., Weiland, T.: Stability of the FDTD algorithm on nonorthogonal grids related to the spatial interpolation scheme. IEEE Trans. Magn. 3, 2751\u20132754 (1998)","journal-title":"IEEE Trans. Magn."},{"key":"9253_CR18","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1007\/978-3-540-34958-7_29","volume-title":"Proceedings of the 15th International Meshing Roundtable","author":"H. Si","year":"2006","unstructured":"Si, H.: On refinement of constrained Delaunay tetrahedralizations. In: Proceedings of the 15th International Meshing Roundtable, pp. 509\u2013528. Springer, Berlin\/Heidelberg (2006)"},{"key":"9253_CR19","volume-title":"An Analysis of the Finite Element Method","author":"G. Strang","year":"1973","unstructured":"Strang, G., Fix, G.: An Analysis of the Finite Element Method. Prentice-Hall, Englewood Cliffs (1973)"},{"key":"9253_CR20","first-page":"623","volume":"23","author":"A. Taflove","year":"1975","unstructured":"Taflove, A.: Numerical-solution of steady-state electromagnetic scattering problems using time-dependent Maxwell\u2019s equations. Electromagnetics 23, 623\u2013630 (1975)","journal-title":"Electromagnetics"},{"key":"9253_CR21","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1109\/TEMC.1980.303879","volume":"22","author":"A. Taflove","year":"1980","unstructured":"Taflove, A.: Application of the finite-difference time-domain method to sinusoidal steady-state electromagnetic penetration problems. IEEE Trans. Electromagn. Comput. 22, 191\u2013202 (1980)","journal-title":"IEEE Trans. Electromagn. Comput."},{"key":"9253_CR22","first-page":"1","volume":"22","author":"A. Taflove","year":"2007","unstructured":"Taflove, A.: A perspective on the 40-year history of FDTD computational electrodynamics. J. Appl. Comput. Electromagn. Soc. 22, 1\u201321 (2007)","journal-title":"J. Appl. Comput. Electromagn. Soc."},{"key":"9253_CR23","volume-title":"Computational Electrodynamics: The Finite-Difference Time-Domain Method","author":"A. Taflove","year":"2005","unstructured":"Taflove, A., Hagness, S.: Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd edn. Artech House, Norwood (2005)","edition":"3"},{"issue":"5","key":"9253_CR24","doi-asserted-by":"crossref","first-page":"2740","DOI":"10.1109\/20.717636","volume":"34","author":"P. Thoma","year":"1998","unstructured":"Thoma, P., Weiland, T.: Numerical stability of finite difference time domain methods. IEEE Trans. Magn. 34(5), 2740\u20132743 (1998)","journal-title":"IEEE Trans. Magn."},{"key":"9253_CR25","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1109\/TAP.1966.1138693","volume":"14","author":"K.S. Yee","year":"1966","unstructured":"Yee, K.S.: Numerical solution of initial boundary value problems involving Maxwell\u2019s equations in isotropic media. IEEE Trans. Antennas Propag. 14, 302\u2013307 (1966)","journal-title":"IEEE Trans. Antennas Propag."},{"issue":"3","key":"9253_CR26","doi-asserted-by":"crossref","first-page":"497","DOI":"10.4310\/CMS.2004.v2.n3.a8","volume":"2","author":"A.R. Zakharian","year":"2004","unstructured":"Zakharian, A.R., Brio, M., Dineen, C., Moloney, J.V.: FDTD based local mesh refinement method for Maxwell\u2019s equations in two space dimensions. Commun. Math. Sci. 2(3), 497\u2013513 (2004)","journal-title":"Commun. Math. Sci."},{"issue":"11","key":"9253_CR27","doi-asserted-by":"crossref","first-page":"1237","DOI":"10.1109\/LPT.2006.875328","volume":"18","author":"A.R. Zakharian","year":"2006","unstructured":"Zakharian, A.R., Brio, M., Dineen, C., Moloney, J.V.: Second-order accurate FDTD space and time grid refinement method in three space dimensions. IEEE Photonics Technol. Lett. 18(11), 1237\u20131239 (2006)","journal-title":"IEEE Photonics Technol. Lett."},{"issue":"2","key":"9253_CR28","doi-asserted-by":"crossref","first-page":"345","DOI":"10.4310\/CMS.2006.v4.n2.a5","volume":"4","author":"A.R. Zakharian","year":"2006","unstructured":"Zakharian, A.R., Brio, M., Dineen, C., Moloney, J.V.: Stability of 2D FDTD algorithms with local mesh refinement for Maxwell\u2019s equations. Commun. Math. Sci. 4(2), 345\u2013374 (2006)","journal-title":"Commun. Math. Sci."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-008-9253-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-008-9253-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-008-9253-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T08:41:30Z","timestamp":1559464890000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-008-9253-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,11,12]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,4]]}},"alternative-id":["9253"],"URL":"https:\/\/doi.org\/10.1007\/s10915-008-9253-1","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,11,12]]}}}