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5 papers · 2 filters
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion
Tony Lelièvre, Francis Nier, Grigorios A. Pavliotis
We consider non-reversible perturbations of reversible diffusions that do not alter the invariant distribution and we ask whether there exists an optimal perturbation such that the…
Accurate and efficient evaluation of the a posteriori error estimator in the reduced basis method
Fabien Casenave, Alexandre Ern, Tony Lelièvre
The reduced basis method is a model reduction technique yielding substantial savings of computational time when a solution to a parametrized equation has to be computed for many va…
Analysis of Compatible Discrete Operator Schemes for Elliptic Problems on Polyhedral Meshes
Jerome Bonelle, Alexandre Ern
Compatible schemes localize degrees of freedom according to the physical nature of the underlying fields and operate a clear distinction between topological laws and closure relati…
Accurate a posteriori error evaluation in the reduced basis method
Fabien Casenave
In the reduced basis method, the evaluation of the a posteriori estimator can become very sensitive to round-off errors. In this note, the origin of the loss of accuracy is reveale…
Two mathematical tools to analyze metastable stochastic processes
Tony Lelièvre
We present how entropy estimates and logarithmic Sobolev inequalities on the one hand, and the notion of quasi-stationary distribution on the other hand, are useful tools to analyz…