Pointwise Error Estimates for Scalar Conservation Laws with Piecewise Smooth Solutions
نویسندگان
چکیده
منابع مشابه
Pointwise Error Estimates for Scalar Conservation Laws with Piecewise Smooth Solutions∗
We introduce a new approach to obtain sharp pointwise error estimates for viscosity approximation (and, in fact, more general approximations) to scalar conservation laws with piecewise smooth solutions. To this end, we derive a transport inequality for an appropriately weighted error function. The key ingredient in our approach is a one-sided interpolation inequality between classical L1 error ...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 1999
ISSN: 0036-1429,1095-7170
DOI: 10.1137/s0036142998333997