An Improved Optimal Order Mixed Finite Element Method for Semilinear Transport Problems

M. Bause (), F. Brunner (), P. Knabner () and F. A. Radu ()
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M. Bause: University of the Federal Armed Forces
F. Brunner: University of Erlangen-Nuremberg, Department of Mathematics
P. Knabner: University of Erlangen-Nuremberg, Department of Mathematics
F. A. Radu: University of Bergen, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 247-255 from Springer

Abstract: Abstract We propose and study the numerical approximation of an advection-diffusion-reaction model equation by a modified Brezzi–Douglas–Marini mixed finite element method.Nonlinear advection is admitted, arising in complex and coupled flow and transport systems.In contrast to the classical variant of this approach, optimal second-order convergence of the scalar and the vector variable is ensured.No loss of rate of convergence due to the presence of the advection term is observed.

Keywords: Lagrange Multiplier; Flux Variable; Mixed Finite Element; Mixed Finite Element Method; Reactive Solute Transport (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_27

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DOI: 10.1007/978-3-642-33134-3_27

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