Add to ORKGSummary. 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. Mathematics Subject Classification (1991): 65M06, 65M12 In this paper we consider finite volume schemes approximating the viscosity solution of the Hamilton–Jacobi equation (0:1) ut + H(Du) = 0 in RN (0;1)
We consider the stationary Hamilton–Jacobi equation N i,j=1 bij (x)uxiuxj = [f(x)]2, in Ω, where Ω...
39 pages. In the initial version, the proof of the error estimate only works for Hamiltonians with t...
International audienceWe consider the stationary Hamilton-Jacobi equation where the dynamics can van...
In this paper we study approximation of Hamilton–Jacobi equations defined on a network. We introduce...
We consider the stationary Hamilton-Jacobi equation bij(x)uxiuxj = [f(x)] 2 where b can vanish at so...
In this paper we study an approximation scheme for an Hamilton-Jacobi equa-tion of Eikonal type defi...
In this work a class of finite volume schemes is proposed to numerically solve equations involving p...
AbstractEquations of Hamilton-Jacobi type arise in many areas of applications, including the calculu...
We give an overview of numerical methods for first-order Hamilton–Jacobi equations. After a short pr...
We introduce two types of finite difference methods to compute the Lsolution [14] and the proper vi...
: In this paper we study an approximation scheme for a class of Hamilton-Jacobi problems for which u...
In this paper, we consider first order Hamilton-Jacobi (HJ) equations posed on a “junction”, that is...
We extend the theory of Barles Jakobsen [3] for a class of almost monotone schemes to solve stationa...
In this paper, we consider first order Hamilton-Jacobi (HJ) equations posed on a “junction”, that is...
We consider the well-posedness and numerical approximation of a Hamilton–Jacobi equation on an evolv...
We consider the stationary Hamilton–Jacobi equation N i,j=1 bij (x)uxiuxj = [f(x)]2, in Ω, where Ω...
39 pages. In the initial version, the proof of the error estimate only works for Hamiltonians with t...
International audienceWe consider the stationary Hamilton-Jacobi equation where the dynamics can van...
In this paper we study approximation of Hamilton–Jacobi equations defined on a network. We introduce...
We consider the stationary Hamilton-Jacobi equation bij(x)uxiuxj = [f(x)] 2 where b can vanish at so...
In this paper we study an approximation scheme for an Hamilton-Jacobi equa-tion of Eikonal type defi...
In this work a class of finite volume schemes is proposed to numerically solve equations involving p...
AbstractEquations of Hamilton-Jacobi type arise in many areas of applications, including the calculu...
We give an overview of numerical methods for first-order Hamilton–Jacobi equations. After a short pr...
We introduce two types of finite difference methods to compute the Lsolution [14] and the proper vi...
: In this paper we study an approximation scheme for a class of Hamilton-Jacobi problems for which u...
In this paper, we consider first order Hamilton-Jacobi (HJ) equations posed on a “junction”, that is...
We extend the theory of Barles Jakobsen [3] for a class of almost monotone schemes to solve stationa...
In this paper, we consider first order Hamilton-Jacobi (HJ) equations posed on a “junction”, that is...
We consider the well-posedness and numerical approximation of a Hamilton–Jacobi equation on an evolv...
We consider the stationary Hamilton–Jacobi equation N i,j=1 bij (x)uxiuxj = [f(x)]2, in Ω, where Ω...
39 pages. In the initial version, the proof of the error estimate only works for Hamiltonians with t...
International audienceWe consider the stationary Hamilton-Jacobi equation where the dynamics can van...