{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T08:51:51Z","timestamp":1776847911118,"version":"3.51.2"},"publisher-location":"Berlin, Heidelberg","reference-count":63,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642005848","type":"print"},{"value":"9783642005855","type":"electronic"}],"license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009]]},"DOI":"10.1007\/978-3-642-00585-5_17","type":"book-chapter","created":{"date-parts":[[2009,8,28]],"date-time":"2009-08-28T12:42:17Z","timestamp":1251463337000},"page":"335-393","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Foundations of Finite Element Methods for Wave Equations of Maxwell Type"],"prefix":"10.1007","author":[{"given":"Snorre H.","family":"Christiansen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2009,8,29]]},"reference":[{"key":"17_CR1","doi-asserted-by":"publisher","first-page":"2103","DOI":"10.1002\/nme.847","volume":"58","author":"M. Ainsworth","year":"2003","unstructured":"Ainsworth, M., Coyle, J.: Hierarchic finite element bases on unstructured tetrahedral meshes. Int. J. Numer. Meth. Eng. 58, 2103\u20132130 (2003)","journal-title":"Int. J. Numer. Meth. Eng."},{"issue":"8","key":"17_CR2","doi-asserted-by":"publisher","first-page":"2398","DOI":"10.1109\/TAP.2008.926788","volume":"56","author":"F.P. Andriulli","year":"2008","unstructured":"Andriulli, F.P., Cools, K., Bagci, H., Olyslager, F., Buffa, A., Christiansen, S.H., Michielssen,\u00a0E.: A multiplicative Calderon preconditioner for the electric field integral equation. IEEE Trans. Antennas and Propagation 56(8), 2398\u20132412 (2008)","journal-title":"IEEE Trans. Antennas and Propagation"},{"key":"17_CR3","series-title":"IMA Volumes in Mathematics and its Applications","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1007\/0-387-38034-5","volume-title":"Compatible Spatial Discretizations","author":"D.N. Arnold","year":"2006","unstructured":"Arnold, D.N., Falk, R.S., Winther, R.: Differential complexes and stability of finite element methods I. The De Rham complex. In: Arnold, D.N. et al. (eds.) Compatible Spatial Discretizations, IMA Volumes in Mathematics and its Applications 142, pp. 24\u201346. Springer, New York (2006)"},{"key":"17_CR4","series-title":"IMA Volumes in Mathematics and its Applications","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1007\/0-387-38034-5_3","volume-title":"Compatible Spatial Discretizations","author":"D.N. Arnold","year":"2006","unstructured":"Arnold, D.N., Falk, R.S., Winther, R.: Differential complexes and stability of finite element methods II. The elasticity complex. In: Arnold, D.N. et al. (eds.) Compatible Spatial Discretizations, IMA Volumes in Mathematics and its Applications 142, pp. 47\u201367. Springer, New York (2006)"},{"key":"17_CR5","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1017\/S0962492906210018","volume":"15","author":"D.N. Arnold","year":"2006","unstructured":"Arnold, D.N., Falk, R.S., Winther, R.: Finite element exterior calculus, homological techniques, and applications. Acta Numerica 15, 1\u2013155 (2006)","journal-title":"Acta Numerica"},{"key":"17_CR6","unstructured":"Arnold, D.N., Falk, R.S., Winther, R.: Geometric decompositions and local bases for spaces of finite element differential forms. Computer Methods in Appl. Mech. and Eng. To appear"},{"key":"17_CR7","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1007\/BF02165003","volume":"16","author":"I. Babuska","year":"1971","unstructured":"Babuska, I.: Error bounds for the finite element method. Numer. Math. 16, 322\u2013333 (1971)","journal-title":"Numer. Math."},{"key":"17_CR8","first-page":"641","volume-title":"Handbook of Numerical Analysis","author":"I. Babuska","year":"1991","unstructured":"Babuska, I., Osborn, J.: Eigenvalue problems. In: Handbook of Numerical Analysis, Vol. II, pp. 641\u2013787. North-Holland, Amsterdam (1991)"},{"issue":"229","key":"17_CR9","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1090\/S0025-5718-99-01072-8","volume":"69","author":"D. Boffi","year":"2000","unstructured":"Boffi, D., Brezzi, F., Gastaldi, L.: On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form. Math. Comp. 69(229), 121\u2013140 (2000)","journal-title":"Math. Comp."},{"issue":"4","key":"17_CR10","doi-asserted-by":"publisher","first-page":"1264","DOI":"10.1137\/S003614299731853X","volume":"36","author":"D. Boffi","year":"1999","unstructured":"Boffi, D., Fernandes, P., Gastaldi, L., Perugia, I.: Computational models of electromagnetic resonators: analysis of edge element approximation. SIAM J. Numer. Anal. 36(4), 1264\u20131290 (1999)","journal-title":"SIAM J. Numer. Anal."},{"key":"17_CR11","first-page":"137","volume-title":"The Mathematics of Finite Elements and Applications VI","author":"A. Bossavit","year":"1988","unstructured":"Bossavit, A.: Mixed finite elements and the complex of Whitney forms. In: The Mathematics of Finite Elements and Applications VI (Uxbridge, 1987), pp. 137\u2013144. Academic Press, London (1988)"},{"key":"17_CR12","first-page":"105","volume-title":"Handbook of Numerical Analysis","author":"A. Bossavit","year":"2005","unstructured":"Bossavit, A.: Discretization of electromagnetic problems: the \u201cgeneralized finite differences\u201d approach. In: Handbook of Numerical Analysis, Vol. XIII, pp. 105\u2013197. North-Holland, Amsterdam (2005)"},{"key":"17_CR13","series-title":"Graduate Texts in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3951-0","volume-title":"Differential Forms in Algebraic Topology","author":"R. Bott","year":"1982","unstructured":"Bott, R., Tu, L.-W.: Differential Forms in Algebraic Topology. Graduate Texts in Mathematics No. 82. Springer, Berlin (1982)"},{"issue":"R-2","key":"17_CR14","first-page":"129","volume":"8","author":"F. Brezzi","year":"1974","unstructured":"Brezzi, F.: On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. RAIRO Anal. Num\u00e9r. 8(R-2), 129\u2013151 (1974)","journal-title":"RAIRO Anal. Num\u00e9r"},{"issue":"2","key":"17_CR15","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1007\/BF01396752","volume":"51","author":"F. Brezzi","year":"1987","unstructured":"Brezzi, F., Douglas, J., Dur\u00e1n, R., Fortin, M.: Mixed finite elements for second order elliptic problems in three variables. Numer. Math. 51(2), 237\u2013250 (1987)","journal-title":"Numer. Math."},{"key":"17_CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-3172-1","volume-title":"Mixed and Hybrid Finite Element Methods","author":"F. Brezzi","year":"1991","unstructured":"Brezzi, F., Fortin, M.: Mixed and Hybrid Finite Element Methods. Springer, Berlin (1991)"},{"issue":"2","key":"17_CR17","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/s00211-002-0422-0","volume":"94","author":"A. Buffa","year":"2003","unstructured":"Buffa, A., Christiansen, S.H.: The Electric Field Integral Equation on Lipschitz screens: definitions and numerical approximation. Numer. Math. 94(2), 229\u2013267 (2003)","journal-title":"Numer. Math."},{"key":"17_CR18","doi-asserted-by":"publisher","first-page":"1743","DOI":"10.1090\/S0025-5718-07-01965-5","volume":"76","author":"A. Buffa","year":"2007","unstructured":"Buffa, A., Christiansen, S.H.: A dual finite element complex on the barycentric refinement. Math. Comp. 76, 1743\u20131769 (2007)","journal-title":"Math. Comp."},{"issue":"2","key":"17_CR19","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1051\/m2an:2001118","volume":"35","author":"S. Caorsi","year":"2001","unstructured":"Caorsi, S., Fernandes, P., Raffetto, M.: Spurious-free approximations of electromagnetic eigenproblems by means of N\u00e9d\u00e9lec-type elements. Math. Model. Numer. Anal. 35(2), 331\u2013354 (2001)","journal-title":"Math. Model. Numer. Anal."},{"issue":"245","key":"17_CR20","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1090\/S0025-5718-03-01581-3","volume":"73","author":"S.H. Christiansen","year":"2004","unstructured":"Christiansen, S.H.: Discrete Fredholm properties and convergence estimates for the Electric Field Integral Equation. Math. Comp. 73(245), 143\u2013167 (2004)","journal-title":"Math. Comp."},{"issue":"1","key":"17_CR21","doi-asserted-by":"publisher","first-page":"116","DOI":"10.1137\/S0036142903433807","volume":"43","author":"S.H. Christiansen","year":"2005","unstructured":"Christiansen, S.H.: A div-curl lemma for edge elements. SIAM J. Numer. Anal. 43(1), 116\u2013126 (2005)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"17_CR22","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1007\/s00211-007-0081-2","volume":"107","author":"S.H. Christiansen","year":"2007","unstructured":"Christiansen, S.H.: Stability of Hodge decompositions in finite element spaces of differential forms in arbitrary dimension. Numer. Math. 107(1), 87\u2013106 (2007)","journal-title":"Numer. Math."},{"issue":"5","key":"17_CR23","doi-asserted-by":"publisher","first-page":"739","DOI":"10.1142\/S021820250800284X","volume":"18","author":"S.H. Christiansen","year":"2008","unstructured":"Christiansen, S.H.: A construction of spaces of compatible differential forms on cellular complexes. Math. Models Methods Appl. Sci. 18(5), 739\u2013757 (2008)","journal-title":"Math. Models Methods Appl. Sci."},{"key":"17_CR24","unstructured":"Christiansen, S.H.: On the linearization of Regge calculus. University of Oslo, Department of Mathematics, Preprint Pure Mathematics, ISSN 0806-2439, No. 13, May 2008"},{"key":"17_CR25","unstructured":"Christiansen, S.H.: Constraint preserving schemes for some gauge invariant wave equations. SIAM J. Sci. Comp. To appear"},{"key":"17_CR26","unstructured":"Christiansen, S.H., Halvorsen, T.G.: Solving the Maxwell-Klein-Gordon equation in the Lattice Gauge Theory formalism. University of Oslo, Department of Mathematics, Preprint Pure Mathematics, ISSN 0806-2439, No. 17, June 2008"},{"key":"17_CR27","unstructured":"Christiansen, S.H., Halvorsen, T.G.: Convergence of lattice gauge theory for Maxwell\u2019s equations. University of Oslo, Department of Mathematics, Preprint Pure Mathematics, ISSN 0806-2439, No. 21, September 2008"},{"issue":"1","key":"17_CR28","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1137\/040616887","volume":"28","author":"S.H. Christiansen","year":"2006","unstructured":"Christiansen, S.H., Winther, R.: On constraint preservation in numerical simulations of Yang-Mills equations. SIAM J. Sci. Comp. 28(1), 75\u2013101 (2006)","journal-title":"SIAM J. Sci. Comp."},{"issue":"262","key":"17_CR29","doi-asserted-by":"publisher","first-page":"813","DOI":"10.1090\/S0025-5718-07-02081-9","volume":"77","author":"S.H. Christiansen","year":"2008","unstructured":"Christiansen, S.H., Winther, R.: Smoothed projections in finite element exterior calculus. Math. Comp. 77(262), 813\u2013829 (2008)","journal-title":"Math. Comp."},{"key":"17_CR30","first-page":"17","volume-title":"Handbook of Numerical Analysis","author":"P.G. Ciarlet","year":"1991","unstructured":"Ciarlet, P.G.: Basic error estimates for elliptic problems. In: Handbook of Numerical Analysis, Vol. II, pp. 17\u2013351. North-Holland, Amsterdam (1991)"},{"issue":"2","key":"17_CR31","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1007\/s002110050417","volume":"82","author":"P.G. Ciarlet","year":"1999","unstructured":"Ciarlet, P.G., Zou, J.: Fully discrete finite element approaches for time-dependent Maxwell\u2019s equations. Numer. Math. 82(2), 193\u2013219 (1999)","journal-title":"Numer. Math."},{"issue":"6","key":"17_CR32","doi-asserted-by":"publisher","first-page":"2047","DOI":"10.1137\/S0036142997329554","volume":"38","author":"G. Cohen","year":"2001","unstructured":"Cohen, G., Joly, P., Roberts, J.E., Tordjman, N.: Higher order triangular finite elements with mass lumping for the wave equation. SIAM J. Numer. Anal. 38(6), 2047\u20132078 (2001)","journal-title":"SIAM J. Numer. Anal."},{"key":"17_CR33","unstructured":"Costabel, M., McIntosh, A.: On Bogovskii and regularized Poincar\u00e9 integral operators for De Rham complexes on Lipschitz domains. Universit\u00e9 de Rennes, Pr\u00e9publication 08\u201340 (2008)"},{"issue":"2-5","key":"17_CR34","first-page":"267","volume":"194","author":"L. Demkowicz","year":"2005","unstructured":"Demkowicz, L., Buffa, A.: H\n                1, H(curl) and H(div)-conforming projection-based interpolation in three dimensions. Quasi-optimal p-interpolation estimates. Comput. Methods Appl. Mech. Eng. 194(2-5), 267\u2013296 (2005)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"17_CR35","first-page":"1","volume-title":"ESAIM Proceedings Vol. 21","author":"L. Demkowicz","year":"2007","unstructured":"Demkowicz, L., Kurtz, J.: Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and Maxwell problems. In: ESAIM Proceedings Vol. 21, pp. 1\u201315 EDP Science, Les Ulis (2007)"},{"key":"17_CR36","series-title":"Springer Monographs in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-12492-5","volume-title":"Methods of Homological Algebra","author":"S.I. Gelfand","year":"2003","unstructured":"Gelfand, S.I., Manin, Y.I.: Methods of Homological Algebra, 2nd edition. Springer Monographs in Mathematics. Springer, Berlin (2003)","edition":"2"},{"issue":"7\u20138","key":"17_CR37","doi-asserted-by":"publisher","first-page":"1285","DOI":"10.1016\/j.camwa.2004.02.012","volume":"49","author":"J. Gopalakrishnan","year":"2005","unstructured":"Gopalakrishnan, J., Garcia-Castillo, L.E., Demkowicz, L.F.: N\u00e9d\u00e9lec spaces in affine coordinates. Comput. Math. Appl. 49(7\u20138), 1285\u20131294 (2005)","journal-title":"Comput. Math. Appl."},{"issue":"228","key":"17_CR38","doi-asserted-by":"publisher","first-page":"1325","DOI":"10.1090\/S0025-5718-99-01166-7","volume":"68","author":"R. Hiptmair","year":"1999","unstructured":"Hiptmair, R.: Canonical construction of finite elements. Math. Comp. 68(228), 1325\u20131346 (1999)","journal-title":"Math. Comp."},{"key":"17_CR39","doi-asserted-by":"publisher","first-page":"271","DOI":"10.2528\/PIER00080111","volume":"32","author":"R. Hiptmair","year":"2001","unstructured":"Hiptmair, R.: High order Whitney forms. Prog. Electr. Res. (PIER) 32, 271\u2013299 (2001)","journal-title":"Prog. Electr. Res. (PIER)"},{"key":"17_CR40","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1017\/CBO9780511550140.004","volume":"11","author":"R. Hiptmair","year":"2002","unstructured":"Hiptmair, R.: Finite elements in computational electromagnetism. Acta Numerica 11, 237\u2013339 (2002)","journal-title":"Acta Numerica"},{"key":"17_CR41","unstructured":"Hiptmair, R.: Discrete compactness for p-version of tetrahedral edge elements. Seminar for Applied Mathematics, ETH Z\u00fcrich, Research Report 2008\u201331 (2008)"},{"key":"17_CR42","series-title":"Lecture Notes in Comput. Sci. Eng.","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/978-3-642-55483-4_6","volume-title":"Topics in Computational Wave Propagation","author":"P. Joly","year":"2003","unstructured":"Joly, P.: Variational methods for time-dependent wave propagation problems. In: Ainsworth, M., et al. (eds.) Topics in Computational Wave Propagation, Lecture Notes in Comput. Sci. Eng. 31, pp. 201\u2013264. Springer, Berlin (2003)"},{"key":"17_CR43","first-page":"479","volume":"36","author":"F. Kikuchi","year":"1989","unstructured":"Kikuchi, F.: On a discrete compactness property for the N\u00e9d\u00e9lec finite elements. J. Fac. Sci. Univ. Tokyo, Sect. 1A Math. 36, 479\u2013490 (1989)","journal-title":"J. Fac. Sci. Univ. Tokyo, Sect. 1A Math."},{"key":"17_CR44","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4182-9","volume-title":"Differential and Riemannian Manifolds","author":"S. Lang","year":"1995","unstructured":"Lang, S.: Differential and Riemannian Manifolds, 3rd edition. Springer, New York (1995)","edition":"3"},{"key":"17_CR45","series-title":"Graduate Texts in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-0041-0","volume-title":"Algebra","author":"S. Lang","year":"2002","unstructured":"Lang, S.: Algebra, revised 3rd edition. Graduate Texts in Mathematics, Vol. 211. Springer, New York (2002)","edition":"3"},{"issue":"3","key":"17_CR46","doi-asserted-by":"publisher","first-page":"714","DOI":"10.1137\/0729045","volume":"29","author":"P. Monk","year":"1992","unstructured":"Monk, P.: Analysis of a finite element method for Maxwell\u2019s equations. SIAM J. Numer. Anal. 29(3), 714\u2013729 (1992)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"17_CR47","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/0377-0427(93)90093-Q","volume":"47","author":"P. Monk","year":"1993","unstructured":"Monk, P.: An analysis of N\u00e9d\u00e9lec\u2019s method for the spatial discretization of Maxwell\u2019s equations. J. Comput. Appl. Math. 47(1), 101\u2013121 (1993)","journal-title":"J. Comput. Appl. Math."},{"key":"17_CR48","doi-asserted-by":"crossref","unstructured":"Monk, P.: Finite Element Methods for Maxwell\u2019s Equations. Oxford University Press (2003)","DOI":"10.1093\/acprof:oso\/9780198508885.001.0001"},{"issue":"3","key":"17_CR49","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/BF01396415","volume":"350","author":"J.-C. N\u00e9d\u00e9lec","year":"1980","unstructured":"N\u00e9d\u00e9lec, J.-C.: Mixed finite elements in \u211d3. Numer. Math. 350(3), 315\u2013341 (1980)","journal-title":"Numer. Math."},{"issue":"1","key":"17_CR50","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/BF01389668","volume":"50","author":"J.-C. N\u00e9d\u00e9lec","year":"1986","unstructured":"N\u00e9d\u00e9lec, J.-C.: A new family of mixed finite elements in \u211d3. Numer. Math. 50(1), 57\u201381 (1986)","journal-title":"Numer. Math."},{"issue":"5","key":"17_CR51","doi-asserted-by":"publisher","first-page":"2427","DOI":"10.1137\/070698178","volume":"30","author":"J. Pasciak","year":"2008","unstructured":"Pasciak, J., Vassilevski, P.S.: Exact de Rham sequences of spaces defined on macro-elements in two and three spatial dimensions. SIAM J. Sci. Comput. 30(5), 2427\u20132446 (2008)","journal-title":"SIAM J. Sci. Comput."},{"issue":"6","key":"17_CR52","doi-asserted-by":"publisher","first-page":"1001","DOI":"10.1051\/m2an:2007049","volume":"41","author":"F. Rapetti","year":"2007","unstructured":"Rapetti, F.: High order edge elements on simplicial meshes. Math. Model. Numer. Anal. 41(6), 1001\u20131020 (2007)","journal-title":"Math. Model. Numer. Anal."},{"key":"17_CR53","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1007\/BFb0064470","volume-title":"Mathematical Aspects of the Finite Element Method","author":"P.A. Raviart","year":"1977","unstructured":"Raviart, P.A., Thomas, J.-M.: A mixed finite element method for 2nd order elliptic problems. In Galligani, I., Magenes, E. (eds.) Mathematical Aspects of the Finite Element Method. Lecture Notes in Mathematics Vol. 606, pp. 292\u2013315. Springer, Berlin (1977)"},{"key":"17_CR54","unstructured":"DeRham, G.: Vari\u00e9t\u00e9s diff\u00e9rentiables. Formes, courants, formes harmoniques (3rd edition). Publications de l\u2019Institut de Math\u00e9matique de l\u2019Universit\u00e9 de Nancago III. Actualit\u00e9s Scientifiques et Industrielles, No. 1222b. Hermann, Paris (1973)"},{"key":"17_CR55","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1016\/S1570-8659(05)80041-9","volume-title":"Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part 1)","author":"J.E. Roberts","year":"1991","unstructured":"Roberts, J.E., Thomas, J.-M.: Mixed and hybrid methods. In: Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part 1), pp. 523\u2013640. North-Holland, Amsterdam (1991)"},{"issue":"262","key":"17_CR56","doi-asserted-by":"publisher","first-page":"633","DOI":"10.1090\/S0025-5718-07-02030-3","volume":"77","author":"J. Sch\u00f6berl","year":"2008","unstructured":"Sch\u00f6berl, J.: A posteriori error estimates for Maxwell equations. Math. Comp. 77(262), 633\u2013649 (2008)","journal-title":"Math. Comp."},{"issue":"2","key":"17_CR57","doi-asserted-by":"crossref","first-page":"374","DOI":"10.1108\/03321640510586015","volume":"24","author":"J. Sch\u00f6berl","year":"2005","unstructured":"Sch\u00f6berl, J., Zaglmayr, S.: High order N\u00e9d\u00e9lec elements with local complete sequence properties. COMPEL, Vol. 24(2), 374\u2013384 (2005)","journal-title":"COMPEL"},{"key":"17_CR58","series-title":"Prentice-Hall Series in Automatic Computation","volume-title":"An Analysis of the Finite Element Method","author":"G. Strang","year":"1973","unstructured":"Strang, G., Fix, G.J.: An Analysis of the Finite Element Method. Prentice-Hall Series in Automatic Computation. Prentice-Hall, Englewood Cliffs (1973)"},{"key":"17_CR59","doi-asserted-by":"publisher","first-page":"1","DOI":"10.2528\/PIER00080101","volume":"32","author":"E. Tonti","year":"2001","unstructured":"Tonti, E.: Finite formulation of the electromagnetic field. Prog. Electr. Res. (PIER) 32, 1\u201344 (2001)","journal-title":"Prog. Electr. Res. (PIER)"},{"issue":"8","key":"17_CR60","doi-asserted-by":"publisher","first-page":"1244","DOI":"10.1109\/8.791939","volume":"47","author":"J.P. Webb","year":"1999","unstructured":"Webb, J.P.: Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements. IEEE Trans. Ant. Prop. 47(8), 1244\u20131253 (1999)","journal-title":"IEEE Trans. Ant. Prop."},{"key":"17_CR61","doi-asserted-by":"crossref","unstructured":"Whitney, H.: Geometric Integration Theory. Princeton University Press (1957)","DOI":"10.1515\/9781400877577"},{"key":"17_CR62","doi-asserted-by":"publisher","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. Ant. Prop. 14, 302\u2013307 (1966)","journal-title":"IEEE Trans. Ant. Prop."},{"issue":"247","key":"17_CR63","doi-asserted-by":"publisher","first-page":"1089","DOI":"10.1090\/S0025-5718-03-01603-X","volume":"73","author":"J. Zhao","year":"2004","unstructured":"Zhao, J.: Analysis of finite element approximation for time-dependent Maxwell problems. Math. Comp. 73(247), 1089\u20131105 (2004)","journal-title":"Math. Comp."}],"container-title":["Applied Wave Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-00585-5_17","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,18]],"date-time":"2023-01-18T20:20:41Z","timestamp":1674073241000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-642-00585-5_17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"ISBN":["9783642005848","9783642005855"],"references-count":63,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-00585-5_17","relation":{},"subject":[],"published":{"date-parts":[[2009]]},"assertion":[{"value":"29 August 2009","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}