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A mixed-hybrid finite element method for convection-diffusion problems. (English) Zbl 1090.65130

Summary: A mixed-hybrid finite element method for scalar diffusion-convection problems is presented. In this method, the lowest degree Raviart-Thomas finite element is used for the diffusive term. The convective term is treated by means of a Lagrange multiplier which is introduced in the hybrid form. The numerical results show that this method produces very accurate solutions for high Peclet numbers.

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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