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On mixed finite element methods for first order elliptic systems. (English) Zbl 0459.65072

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
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[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
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