Grid-free adaptive semi-Lagrangian advection using radial basis functions
نویسندگان
چکیده
منابع مشابه
Grid-free Adaptive Semi-lagrangian Advection Using Radial Basis Functions
This paper proposes a new grid-free adaptive advection scheme. The resulting algorithm is a combination of the semi-Lagrangian method (SLM) and the grid-free radial basis function interpolation (RBF). The set of scattered interpolation nodes is subject to dynamic changes at run time: Based on a posteriori local error estimates, a self-adaptive local refinement and coarsening of the nodes serves...
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Grid-free adaptive semi-Lagrangian advection, as recently suggested in [3], relies on two basic ingredients: scattered data approximation and a customized strategy for the adaption (coarsening and refinement) of the scattered nodes. In this paper, effective rules for the node adaption are proposed. The practicability of the grid-free advection method is illustrated in our numerical examples by ...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2002
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(01)00289-9