L2 Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations
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2015
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Communications in Computational Physics. 2015, 17(5), pp. 1225-1245. ISSN 1815-2406. eISSN 1991-7120. Available under: doi: 10.4208/cicp.2014.m369
Zusammenfassung
Combining asymptotic analysis and weighted L2 stability estimates, the convergence of lattice Boltzmann methods for the approximation of 1D convection-diffusion-reaction equations is proved. Unlike previous approaches, the proof does not require transformations to equivalent macroscopic equations.
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Fachgebiet (DDC)
510 Mathematik
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Lattice Boltzmann method, convection-diffusion-reaction equation, L2 stability, L2 convergence
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JUNK, Michael, Zhaoxia YANG, 2015. L2 Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations. In: Communications in Computational Physics. 2015, 17(5), pp. 1225-1245. ISSN 1815-2406. eISSN 1991-7120. Available under: doi: 10.4208/cicp.2014.m369BibTex
@article{Junk2015Conve-32442, year={2015}, doi={10.4208/cicp.2014.m369}, title={L<sub>2</sub> Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations}, number={5}, volume={17}, issn={1815-2406}, journal={Communications in Computational Physics}, pages={1225--1245}, author={Junk, Michael and Yang, Zhaoxia} }
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