Neittaanmäki, P.; Saranen, J. Finite element approximation of electromagnetic fields in three dimensional space. (English) Zbl 0451.65087 Numer. Funct. Anal. Optimization 2, 487-506 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 Documents MSC: 65Z05 Applications to the sciences 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 78A30 Electro- and magnetostatics 35Q99 Partial differential equations of mathematical physics and other areas of application 65N15 Error bounds for boundary value problems involving PDEs Keywords:finite elements; electrostatics; convergence estimates × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Agmon S., Van Nostrand Mathematical Studies (1965) [2] Ciarlet P. G., The Finite Element Method for Elliptic Problems (1978) · Zbl 0383.65058 · doi:10.1115/1.3424474 [3] Duvaut G., Grundlehren der mathematischen Wissenschaften 219 (1976) [4] Elben W., Numerical Treatment of Differential Equations In Applications pp 25– (1978) · doi:10.1007/BFb0067864 [5] Glowinski R., Comput. Methods Appl. Mech. Engrg. 3 pp 55– (1974) · Zbl 0288.65068 · doi:10.1016/0045-7825(74)90042-5 [6] Kress, R. 1969. ”Grundzüge einer Theorie der verallgemeinerten harmonischen Vektorfelder, Methoden und Verfahren der MathematIschen Physik, Band”. Edited by: Brosowski, B., Martensen, E. and Hochschulskripten, B. I. 49–84. Mannheim: Bibliographisches Institut. 721/721a 3 [7] Leis R., Math. Z. 106 pp 213– (1968) · doi:10.1007/BF01110135 [8] Leis R., Trends in Applications of Pure Mathematics to Mechanics 11 pp 187– (1979) [9] Martensen E., Math. Meth. in the Appl. Sci. 1 pp 101– (1979) · Zbl 0415.35074 · doi:10.1002/mma.1670010109 [10] Mehra, L. M. 1978. ”Zur Asymptotischen Verteilung der Eigenwerte des Maxwellschen Randwertproblems”. Dissertation: Bonn. · Zbl 0411.35074 [11] Müller, Cl. 1957. ”Grundprobleme der Elektromagnetischer Schwingungen”. Heidelberg: Springer-Verlag. · Zbl 0087.21305 · doi:10.1007/978-3-642-94696-7 [12] Neittaanmäki P., Numer. Funct. Anal. and Optimiz (1957) [13] Neittaanmäki P., Applicable Anal (1957) [14] Neittaanmäki P., Math. Meth. in the Appl. Sci. (1957) [15] Picard R., Proc. Roy. Soc. Edinburgh Sect. A. 86 pp 53– (1980) · Zbl 0438.65102 · doi:10.1017/S0308210500011987 [16] Rannacher R., Math. Z. 149 pp 69– (1976) · Zbl 0321.65055 · doi:10.1007/BF01301633 [17] Saranen J., Applicable Anal 10 pp 15– (1980) · Zbl 0454.65079 · doi:10.1080/00036818008839283 [18] Saranen J., Ber. Univ. Jyväskylä Math. Inst. Bericht 23 (1980) [19] Saranen J., Ann. Acad. Sci. Fenn. Ser. A.I. Math 23 (1980) [20] Strang G., An Analysis of the Finite Element Method (1973) · Zbl 0356.65096 [21] Weck N., J. Math. Anal. Appl. 46 pp 410– (1974) · Zbl 0281.35022 · doi:10.1016/0022-247X(74)90250-9 [22] Wendland W. L., Monographs and Studies in Mathematics (1979) [23] Wilcox C. H., Electromagnetic Waves pp 65– (1962) [24] Zienkiewicz, O. C. 1977. ”The Finite Element Method”. London: McGraw-Hill. · Zbl 0435.73072 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.