Adaptive Finite Element Methods for Conservation Laws Based on a Posteriori Error Estimates
نویسندگان
چکیده
We prove a posteriori error estimates for a nite element method for systems of strictly hyperbolic conservation laws in one space dimension, and design corresponding adaptive methods. The proof of the a posteriori error estimates is based on a strong stability estimate for an associated dual problem, together with the Galerkin orthogonalityof the nite element method. The strong stability estimate uses the entropy condition for the system in an essential way.
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تاریخ انتشار 1995