2 papers
math.NA2020
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…
math.NA2018
(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…