Error estimate for finite volume scheme
نویسندگان
چکیده
The Finite Volume method is well adapted to the computation of the solution of pdes which are conservation (or balance) laws, for the reason that it respects the property of conservation of the pde under study. The mathematical analysis of the application of the Finite Volume method to hyperbolic first-order conservation laws can be dated from the mid sixties (see [TS62] for example). Concerning the specific problem of the estimate of the rate of convergence of the method, the first result is due to Kuztnetsov [Kuz76], who proves that this rate of convergence in L(0, t;L) is of order h, where h is the size of the mesh, provided that the initial data is in BV and that the mesh is a structured cartesian grid. Ever since, several studies and results have come to supplement the error estimate of Kuznetsov. Before describing them, let us emphasize two points:
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عنوان ژورنال:
- Numerische Mathematik
دوره 106 شماره
صفحات -
تاریخ انتشار 2007