Fix, G. J.; Gunzburger, M. D.; Nicolaides, R. A. On mixed finite element methods for first order elliptic systems. (English) Zbl 0459.65072 Numer. Math. 37, 29-48 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 30 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 35F30 Boundary value problems for nonlinear first-order PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation Keywords:first order elliptic systems; duality theory; Galerkin finite element solution; optimal error estimates; numerical examples; Poisson equation; Kelvin principle × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] Babuska, I., Aziz, A.K.: Mathematical foundations of the finite element method. New York: Academic Press 1972 [2] Babuska, I., Oden, J.T., Lee, J.K.: Mixed hybrid finite element approximation of second order elliptic boundary value problems. Comput. Methods Appl. Mech. Engrg.14, 1-23 (1978) · Zbl 0401.65068 · doi:10.1016/0045-7825(78)90010-5 [3] Brezzi, F.: On the existence, uniqueness and application of saddle point problems arising from lagrange multipliers. R.A.I.R.O.8, 129-150 (1975) [4] Ciarlet, P.G.: The finite element method for elliptic problems. Amsterdam: North Holland Publishing 1977 [5] Fix, G.J., Gunzburger, M.D., Nicolaides R.A.: Theory and applications of mixed finite element methods. Constructive approaches to mathematical models. New York: Academic Press, pp. 375-393, 1979 · Zbl 0459.65071 [6] Lions, J.L., Magenes, E.: Nonhomogeneous Boundary Value problems. Springer, 1973 · Zbl 0251.35001 [7] Raviart, P.A., Thomas, J.M.: A mixed finite element method for second-order elliptic problems. Mathematical aspects of finite element methods. Rome 1975: Lecture Notes in Mathematics, Springer [8] Serrin, J.: Mathematical Principles of Classical Fluid Mechanics, In: Encyclopedia of Physies,8, No. 1, pp. 125-350 (1959) (Section 24) [9] Strang, G., Fix, G.: An analysis of the finite element method. New York: Prentice-Hall 1973 · Zbl 0356.65096 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.