A stable hybrid method for hyperbolic problems. (English) Zbl 1083.65085
Summary: A stable hybrid method for hyperbolic problems that combines the unstructured finite volume method with high-order finite difference methods is developed. The coupling procedure is based on energy estimates and stability can be guaranteed. Numerical calculations verify that the hybrid method is efficient and accurate.
MSC:
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 35L45 | Initial value problems for first-order hyperbolic systems |
Keywords:
Hyperbolic problems; Hybrid methods; Finite difference; Finite volume; Coupling procedure; Stability; Efficiency; Numerical examplesReferences:
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