Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems
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- by D. Aregba-Driollet, R. Natalini and S. Tang PDF
- Math. Comp. 73 (2004), 63-94 Request permission
Abstract:
We design numerical schemes for nonlinear degenerate parabolic systems with possibly dominant convection. These schemes are based on discrete BGK models where both characteristic velocities and the source-term depend singularly on the relaxation parameter. General stability conditions are derived, and convergence is proved to the entropy solutions for scalar equations.References
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Additional Information
- D. Aregba-Driollet
- Affiliation: Mathématiques Appliquées de Bordeaux, Université Bordeaux 1, 351 cours de la Libération, F-33405 Talence, France
- Email: aregba@math.u-bordeaux.fr
- R. Natalini
- Affiliation: Istituto per le Applicazioni del Calcolo “M. Picone”, Consiglio Nazionale delle Ricerche, Viale del Policlinico 137, I–00161 Roma, Italia
- Email: natalini@iac.rm.cnr.it
- S. Tang
- Affiliation: Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, People’s Republic of China and Fachbereich Mathematik und Statistik, Universität Konstanz, 78457 Konstanz, Germany
- Email: maotang@pku.edu.cn; tangs@fmi.uni-konstanz.de
- Received by editor(s): November 21, 2000
- Received by editor(s) in revised form: January 11, 2002
- Published electronically: August 26, 2003
- Additional Notes: Work partially supported by European TMR projects HCL # ERB FMRX CT96 0033 and NPPDE # ERB FMRX CT98 0201, Chinese Special Funds for Major State Basic Research Project, and NSFC
- © Copyright 2003 American Mathematical Society
- Journal: Math. Comp. 73 (2004), 63-94
- MSC (2000): Primary 65M06; Secondary 76M20, 76RXX, 82C40
- DOI: https://doi.org/10.1090/S0025-5718-03-01549-7
- MathSciNet review: 2034111