1. Well-balanced Finite Volume schemes: some stability and convergence results
- Author
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Chacón Rebollo, Tomás, Domínguez Delgado, Antonio, Fernández Nieto, Enrique D., Palacios Latasa, Manuel Pedro (Coordinador), Trujillo, David (Coordinador), Torrens Iñigo, Juan José (Coordinador), Madaune-Tort, Monique (Coordinador), López de Silanes Busto, María Cruz (Coordinador), Sanz Sáiz, Gerardo (Coordinador), Palacios Latasa, Manuel Pedro, Trujillo, David, Torrens Iñigo, Juan José, Madaune-Tort, Monique, López de Silanes Busto, María Cruz, Sanz Sáiz, Gerardo, and Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
- Subjects
convergence ,stability ,well-balanced solvers ,Finite Volumes - Abstract
We report a stability and convergence analysis for some simplified well-balanced Finite Volume solvers of Hyperbolic Systems of Conservation Laws. These are specific solvers, recently introduced, that balance all steady solutions up to second order of accuracy by means of an additional numerical source term. We prove the stability and convergence of some of these solvers for scalar hyperbolic equations under reasonable conditions on the additional term.
- Published
- 2003