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math.NA2026
A reduced basis method for parabolic PDEs based on a space-time least squares formulation
Michael Hinze, Christian Kahle, Michael Stahl
In this work, we present a POD-greedy reduced basis method for parabolic partial differential equations (PDEs), based on the least squares space-time formulation proposed in [Hinze…
math.NA2025
A least-squares space-time approach for parabolic equations
Michael Hinze, Christian Kahle, Michael Stahl
We propose a least squares formulation for abstract parabolic equations in the natural norm which only relies on natural regularity assumptions on the da…
math.NA2024
Finite element approximation to the non-stationary quasi-geostrophic equation
Dohyun Kim, Amiya K. Pani, Eun-Jae Park
In this paper, C1-conforming element methods are analyzed for the stream function formulation of a single layer non-stationary quasi-geostrophic equation in the ocean circulation m…