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• W2963087995 abstract "We prove the consistency of Galerkin methods to solve Poisson equations where the differential operator under consideration is hypocoercive. We show in particular how the hypocoercive nature of the generator associated with Langevin dynamics can be used at the discrete level to first prove the invertibility of the rigidity matrix, and next provide error bounds on the approximation of the solution of the Poisson equation. We present general convergence results in an abstract setting, as well as explicit convergence rates for a simple example discretized using a tensor basis. Our theoretical findings are illustrated by numerical simulations." @default.
• W2963087995 created "2019-07-30" @default.
• W2963087995 creator A5015347592 @default.
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• W2963087995 date "2018-05-01" @default.
• W2963087995 modified "2023-10-04" @default.
• W2963087995 title "Spectral methods for Langevin dynamics and associated error estimates" @default.
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• W2963087995 doi "https://doi.org/10.1051/m2an/2017044" @default.
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