Li, Xiang-Gui; Yan, Wei; Chan, C. K. Numerical schemes for Hamilton-Jacobi equations on unstructured meshes. (English) Zbl 1029.65111 Numer. Math. 94, No. 2, 315-331 (2003). The finite element method is applied to the viscosity solutions of the Hamilton-Jacobi equations on unstructured meshes. A new numerical scheme is constructed by improving the finite element scheme. Under certain limitations both solutions converge to the viscosity solutions of the Hamilton-Jacobi equations. The new scheme has weaker restrictions for the convergence. Reviewer: Plamen Yordanov Yalamov (Russe) Cited in 9 Documents MSC: 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 35L60 First-order nonlinear hyperbolic equations Keywords:Hamilton-Jacobi equations; unstructured meshes; viscosity solutions; convergence PDFBibTeX XMLCite \textit{X.-G. Li} et al., Numer. Math. 94, No. 2, 315--331 (2003; Zbl 1029.65111) Full Text: DOI