A Suitable Replacement of the Bv Condition for Nite Volume Schemes on Unstructured Grids Mirko Rokyta
نویسنده
چکیده
For the nite volume method applied to scalar hyperbolic conservation law in two space dimensions, the uniform BV estimate for an approximate solution is not available on unstructured grids. Therefore the convergence proofs are based on methods which needs less regularity, e.g. on the Young measure theory. In this contribution we discuss the so-called ((t)-condition which serves as a suitable replacement of the notion of bounded variation, and which plays the important role in the Young measure{based convergence proof.
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