A Posteriori Analysis of a Positive Streamwise Invariant Discretization of a Convection-Diffusion Equation |
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| Authors: | Christine Bernardi Tomás Chacón Rebollo Marco Restelli |
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| Affiliation: | 1. Laboratoire Jacques-Louis Lions, C.N.R.S. & Universit?? Pierre et Marie Curie??Paris 6, bo?te 187, 4 place Jussieu, 75252, Paris Cedex 05, France
2. Departamento de Ecuaciones Diferenciales y An??lisis Numerico, Universidad de Sevilla, Tarfia s/n, 41012, Sevilla, Spain
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| Abstract: | We consider the finite element discretization of a convection-diffusion equation, where the convection term is handled via
a fluctuation splitting algorithm. We prove a posteriori error estimates which allow us to perform mesh adaptivity in order
to optimize the discretization of these equations. Numerical results confirm the interest of such an approach. |
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