Mohamed Amara, L. L. Nadau, David Trujillo
In this paper, we are interested in the study of a posteriori estimators in linear parabolic case for the classical 5 points or 9 points Cells Centered Finite Volume method. Introducing the gradient of the unknown, the FV methods can be interpreted in terms of mixed finite element methods. And we use this interpretation of the scheme in order to construct an appropriate a posteriori estimator. The analysis of this estimator is done and we present numerical simulations in order to illustrate the theoritical results.
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