Numerical discretization of boundary conditions for first order Hamilton-Jacobi equations

SIAM Journal on Numerical Analysis

Volumn 41, Issue 6, 2003, Pages 2233-2261

  Abgrall, Rémi ^a,b  

^a UNIVERSITÉ BORDEAUX 1   (France)

^b INSTITUT UNIVERSITAIRE DE FRANCE   (France)

Author keywords

Approximation of boundary conditions; Hamilton Jacobi equations

Indexed keywords

APPROXIMATION OF BOUNDARY CONDITIONS; DISCRETIZATION; HAMILTON-JCOBI EQUATIONS; NEUMANN BOUNDARY CONDITIONS;

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FUNCTIONS; NUMERICAL METHODS; PROBLEM SOLVING; SEISMOLOGY;

HAMILTONIANS;

EID: 11044226018     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142998345980     Document Type: Article

References (9)

1. R. ABGRALL, Numerical discretization of first order Hamilton-Jacobi equations on triangular meshes, Comm. Pure Appl. Math., 49 (1996), pp. 1339-1373
2. R. ABGRALL AND J.D. BENAMOU, Big ray tracing and eikonal solver on unstructured grids: Application to the computation of a multi-valued travel-time field, Geophysics, 64 (1999), pp. 230-239.
3. M. BARDI AND S. OSHER, The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations, SIAM J. Math. Anal., 22 (1991), pp. 344-351.
4. G. BARLES, Solutions de viscosité des équations de Hamilton-Jacobi, Math. Appl., Springer Verlag, Paris, 1994.
5. G. BARLES AND P.E. SOUGANIDIS, Convergence of approximation schemes for fully nonlinear second order equations, Asymptot. Anal., 4 (1991), pp. 271-283.
6. J.D. BENAMOU, Big ray tracing: Multivalued travel time field computations using viscosity solutions of the eikonal equation, J. Comput. Phys., 128 (1996), pp. 463-474.
7. n with application to finite element methods, Arch. Ration. Mech. Anal., 42 (1972), pp. 177-199.
8. M.G. CRANDALL AND P.-L. LIONS, Two approximations of solutions of Hamilton-Jacobi equations, Math. Comp., 43 (1984), pp. 1-19.
9. S. OSHER AND C.W. SHU, High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations, SIAM J. Numer. Anal., 28 (1991), pp. 907-922.