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A posteriori error estimation and adaptive computation of conduction convection problems. (English) Zbl 1217.76040
Summary: An adaptive finite element method is developed for stationary conduction convection problems. Using a mixed finite element formulation, residual type a posteriori error estimates are derived by means of the general framework of R. Verfürth. The effectiveness of the adaptive method is further demonstrated through two numerical examples. The first example is problem with known solution and the second example is a physical model of square cavity stationary flow.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
76R10 Free convection
80A20 Heat and mass transfer, heat flow (MSC2010)
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