Type of Publication: | Journal article |
Publication status: | Published |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-0-296731 |
Author: | Junk, Michael; Yang, Zhaoxia |
Year of publication: | 2015 |
Published in: | Communications in Computational Physics ; 17 (2015), 5. - pp. 1225-1245. - ISSN 1815-2406. - eISSN 1991-7120 |
DOI (citable link): | https://dx.doi.org/10.4208/cicp.2014.m369 |
Summary: |
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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Subject (DDC): | 510 Mathematics |
Keywords: | Lattice Boltzmann method, convection-diffusion-reaction equation, L2 stability, L2 convergence |
Link to License: | In Copyright |
Bibliography of Konstanz: | Yes |
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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. 17(5), pp. 1225-1245. ISSN 1815-2406. eISSN 1991-7120. Available under: doi: 10.4208/cicp.2014.m369
@article{Junk2015Conve-32442, title={L2 Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations}, year={2015}, doi={10.4208/cicp.2014.m369}, 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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