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On finite element approximation of the gradient for solution of Poisson equation. (English) Zbl 0463.65073


MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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References:

[1] Ciarlet, P.G.: The finite element method for elliptic problems. Amsterdam: North-Holland 1978 · Zbl 0383.65058
[2] Fix, G.J.: Theory and applications of mixed finite element methods (to appear) · Zbl 0459.65071
[3] Fix, G.J., Gunzburger, M.D., Nicolaides, R.A.: On mixed finite element methods, I. The Kelvin principle, N.A.S.A.?I.C.A.S.E. Technical Reports 77-17, December 1977 · Zbl 0459.65072
[4] Fix, G.J., Gunzburger, M.D., Nicolaides, R.A.: On finite element methods of the least square type. Comput. Math. Appl.5, 87-98 (1979) · Zbl 0422.65064
[5] Lesaint, P., Zlámal, M.: Superconvergence of the gradient of finite element solutions. RAIRO Anal. Numér.13, No. 2, 139-166, 1979 · Zbl 0412.65051
[6] Mehra, L.M.: Zur asymptotischen Verteilung der Eigenwerte des Maxwellschen Randwertproblems. Sonderforschungsbereich 72, Approximation und Optimierung, preprint 309 (1979) · Zbl 0411.35074
[7] Neittaanmäki, P., Picard, R.: Error estimates for the finite element approximation to a Maxwell-type boundary value problem. Numer. Funct. Anal. and Optimiz.2, 267-285, 1980 · Zbl 0469.65079
[8] Saranen, J.: Über die Approximation der Lösungen der Maxwellschen Randwertaufgabe mit der Methode der finiten Elemente. Applicable Analysis10, 15-30, 1980 · Zbl 0454.65079
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