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Revisiting stabilized finite element methods for the advective-diffusive equation. (English) Zbl 1122.76054

Summary: We give a brief overview of stabilized finite element methods and illustrate the developments applied to advection-diffusion equation. This article presents a concise perspective of the developments emanated from the works started in the 1980s through today.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76R99 Diffusion and convection
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
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