An error estimate for finite volume methods for multidimensional conservation laws
نویسندگان
چکیده
منابع مشابه
An Error Estimate for Finite Volume Methods for Multidimensional Conservation Laws
In this paper, an L°°(Ll )-error estimate for a class of finite volume methods for the approximation of scalar multidimensional conservation laws is obtained. These methods can be formally high-order accurate and are defined on general triangulations. The error is proven to be of order ft'/4 , where h represents the "size" of the mesh, via an extension of Kuznetsov approximation theory for whic...
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In this paper, an L 1 (L 1)-error estimate for a class of nite volume methods for the approximation of scalar multidimensional conservation laws is obtained. These methods can be formally high-order accurate and are deened on general trian-gulations. The error is proven to be of order h 1=4 , where h represents the \size" of the mesh, via an extension of Kuznetsov approximation theory for which...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1994
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1994-1240657-4