28 citations · 30 across the 3 of their papers we have counts for
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Stable and efficient Petrov-Galerkin methods for a kinetic Fokker-Planck equation
Julia Brunken, Kathrin Smetana
We propose a stable Petrov-Galerkin discretization of a kinetic Fokker-Planck equation constructed in such a way that uniform inf-sup stability can be inferred directly from the va…
(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods
Julia Brunken, Kathrin Smetana, Karsten Urban
We consider ultraweak variational formulations for (parametrized) linear first order transport equations in time and/or space. Computationally feasible pairs of optimally stable tr…
Problem adapted Hierarchical Model Reduction for the Fokker-Planck equation
Julia Brunken, Tobias Leibner, Mario Ohlberger +1
In this paper we introduce a new hierarchical model reduction framework for the Fokker-Planck equation. We reduce the dimension of the equation by a truncated basis expansion in th…