Summary.
We introduce two classes of monotone finite volume schemes for Hamilton-Jacobi equations. The corresponding approximating functions are piecewise linear defined on a mesh consisting of triangles. The schemes are shown to converge to the viscosity solution of the Hamilton–Jacobi equation.
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Received February 25, 1998 / Published online: June 29, 1999
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Kossioris, G., Makridakis, C. & Souganidis, P. Finite volume schemes for Hamilton–Jacobi equations. Numer. Math. 83, 427–442 (1999). https://doi.org/10.1007/s002110050457
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DOI: https://doi.org/10.1007/s002110050457