Semi-discrete Schemes for Hamilton-Jacobi Equations on Unstructured Grids

Doron Levy () and Suhas Nayak ()
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Doron Levy: Stanford University, Department of Mathematics
Suhas Nayak: Stanford University, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 623-630 from Springer

Abstract: Summary We present a new semi-discrete central scheme for approximating solutions of Hamilton-Jacobi equations on unstructured meshes. This scheme extends the numerical Hamiltonians of Kurganov et al. to unstructured grids. Similarly to the previous works on structured grids, a semi-discrete formulation of central schemes is made possible due to estimates of the local speeds of propagation. The consistency of the method is obtained following Abgrall’s calculations for the consistency of an upwind Lax-Friedrichs scheme on unstructured grids. We conclude with comments on high-order reconstructions.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_60

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DOI: 10.1007/978-3-642-18775-9_60

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