1 citations · 2 across the 8 of their papers we have counts for
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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…
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…
A space-time certified reduced basis method for quasilinear parabolic partial differential equations
Michael Hinze, Denis Korolev
In this paper, we propose a certified reduced basis (RB) method for quasilinear parabolic problems. The method is based on a space-time variational formulation. We provide a residu…
Reduced basis methods for quasilinear elliptic PDEs with applications to permanent magnet synchronous motors
Michael Hinze, Denis Korolev
In this paper, we propose a certified reduced basis (RB) method for quasilinear elliptic problems together with its application to nonlinear magnetostatics equations, where the lat…
Finite element approximation of source term identification with TV-regularization
Michael Hinze, Tran Nhan Tam Quyen
In this paper we investigate the problem of recovering the source term in an elliptic system from a measurement of the state on a part of the boundary. For the particular interest…
POD model order reduction with space-adapted snapshots for incompressible flows
Carmen Gräßle, Michael Hinze, Jens Lang +1
We consider model order reduction based on proper orthogonal decomposition (POD) for unsteady incompressible Navier-Stokes problems, assuming that the snapshots are given by spatia…