Finite element methods for transient convection-diffusion equations with small diffusion
Nadir BayramovApril 9, 2013, 1:30 p.m. S2 059
Transient convection-diffusion or convection-diffusion-reaction equations, with in general small or anisotropic diffusion, are considered. A specific exponential fitting scheme, resulting from finite element approximation, is applied to obtain a stable monotone method for these equations. Error estimates are discussed for this method and a comparison to the more commonly known SUPG method is drawn. Numerical results are also presented for both methods.