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math.NA2020
Optimal local approximation spaces for parabolic problems
Julia Schleuß, Kathrin Smetana
We propose local space-time approximation spaces for parabolic problems that are optimal in the sense of Kolmogorov and may be employed in multiscale and domain decomposition metho…
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…