Local uniform grid refinement and systems of coupled partial differential equations

Applied Numerical Mathematics - Tập 12 - Trang 331-355 - 1993
Ron Trompert1
1CWI, P.O. Box 4079, 1009 AB Amsterdam, Netherlands

Tài liệu tham khảo

Arney, 1989, An adaptive local mesh refinement method for time-dependent partial differential equations, Appl. Numer. Math., 5, 257, 10.1016/0168-9274(89)90011-1 Arney, 1990, An adaptive mesh-moving and local refinement method for time-dependent partial differential equations, ACM Trans. Math. Software, 16, 48, 10.1145/77626.77631 Berger, 1984, Adaptive mesh refinement for hyperbolic partial differential equations, J. Comput. Phys., 53, 484, 10.1016/0021-9991(84)90073-1 Gropp, 1987, Local uniform mesh refinement with moving grids, SIAM J. Sci. Statist. Comput., 8, 292, 10.1137/0908036 Gropp, 1992, Domain decomposition with local mesh refinement, SIAM J. Sci. Statist. Comput., 13, 967, 10.1137/0913057 Flaherty, 1989, Adaptive overlapping grid methods for parabolic systems, 176 Trompert, 1993, Analysis of the implicit Euler local uniform grid refinement method, SIAM J. Sci. Comput., 14, 259, 10.1137/0914017 Trompert, 1990, Runge-Kuta methods and local uniform grid refinement Trompert, 1991, A static-regridding method for two-dimensional parabolic partial differential equations, Appl. Numer. Math., 8, 65, 10.1016/0168-9274(91)90098-K Verwer, 1991, An adaptive-grid finite-difference method for time-dependent partial differential equations, 260, 267 Verwer, 1992, Analysis of local uniform grid refinement Verwer, 1993, Appl. Numer. Math., 13, 10.1016/0168-9274(93)90147-J