An Improved Optimal Order Mixed Finite Element Method for Semilinear Transport Problems
Bause M, Brunner F, Knabner P, Radu AF (2012)
Publication Type: Book chapter / Article in edited volumes
Publication year: 2012
Publisher: Springer
Edited Volumes: Numerical Mathematics and Advanced Applications 2011
City/Town: Berlin Heidelberg
Pages Range: 247-255
ISBN: 978-3-642-33133-6
DOI: 10.1007/978-3-642-33134-3_27
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.
Authors with CRIS profile
Fabian Brunner
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)
Peter Knabner
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)
Involved external institutions
Norway (NO)How to cite
APA:
Bause, M., Brunner, F., Knabner, P., & Radu, A.F. (2012). An Improved Optimal Order Mixed Finite Element Method for Semilinear Transport Problems. In Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley, Michael V. Tretyakov (Eds.), Numerical Mathematics and Advanced Applications 2011. (pp. 247-255). Berlin Heidelberg: Springer.
MLA:
Bause, Markus, et al. "An Improved Optimal Order Mixed Finite Element Method for Semilinear Transport Problems." Numerical Mathematics and Advanced Applications 2011. Ed. Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley, Michael V. Tretyakov, Berlin Heidelberg: Springer, 2012. 247-255.
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