Neittaanmäki, Pekka; Picard, Rainer Error estimates for the finite element approximation to a Maxwell-type boundary value problem. (English) Zbl 0469.65079 Numer. Funct. Anal. Optimization 2, 267-285 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 12 Documents MSC: 65Z05 Applications to the sciences 65N15 Error bounds for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35Q99 Partial differential equations of mathematical physics and other areas of application 78A25 Electromagnetic theory (general) Keywords:finite element; Maxwell-type boundary value problem; time-harmonic; optimal asymptotic error estimates × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Agmon S., Lectures an elliptic boundary value problems, van Nostrand Mathematical Studies 2 (1965) · Zbl 0142.37401 [2] Berger A. E., Symposia Mathematica 10 pp 295– (1972) [3] Ciarlet, P. G. 1978. ”The finite element method for elliptic problems”. Amsterdam, New York, Oxford: North-Holland Publ. Company. · Zbl 0383.65058 [4] Fix G. J., Numer. Math. (1978) [5] Gaffney, M. 1951.The harmonic operator for exterior differential forms, Vol. 37, 48–50. U.S.A.: Proceedings of the National Science. · Zbl 0042.10205 [6] Leis R., Zur Theorie der zeitunabhängigen Maxwell’schen Gleichungen 50 (1971) · Zbl 0227.35077 [7] Nécas J., Masson et Cie, Editeurs (1967) [8] Picard R., Gleichungen mit der Randbedingung n({\(\times\)}E)=n({\(\times\)}H)=0 im inhomogenen anisotropen Medium 65 (1973) · Zbl 0276.35076 [9] Picard R., Math. Z. 156 pp 175– (1977) · Zbl 0346.35087 · doi:10.1007/BF01178762 [10] Saranen J., wertaufgabe mit der Methode der finiten Elemente Appl. Anal. 156 (1980) · Zbl 0454.65079 [11] Strang, G. and Fix, G. J. 1973. ”An analysis of the finite element method”. Englewood Cliffs, New York: Prentice-Hall. · Zbl 0278.65116 [12] Weck N., J. Math. Anal. Appl. 46 pp 410– (1974) · Zbl 0281.35022 · doi:10.1016/0022-247X(74)90250-9 [13] Weyl H., Duke Math. Jour. 7 pp 411– (1940) · Zbl 0026.02001 · doi:10.1215/S0012-7094-40-00725-6 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.