4 papers · 1 filter
Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems
Christian Engwer, Mario Ohlberger, Lukas Renelt
We investigate parametrized variational problems where for each parameter the solution may originate from a different parameter-dependent function space. Our main motivation is the…
Two-stage model reduction approaches for the efficient and certified solution of parametrized optimal control problems
Hendrik Kleikamp, Lukas Renelt
In this contribution we develop an efficient reduced order model for solving parametrized linear-quadratic optimal control problems with linear time-varying state system. The fully…
Construction of local reduced spaces for Friedrichs' systems via randomized training
Christian Engwer, Mario Ohlberger, Lukas Renelt
This contribution extends the localized training approach, traditionally employed for multiscale problems and parameterized partial differential equations (PDEs) featuring locally…
Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems
Christian Engwer, Mario Ohlberger, Lukas Renelt
This contribution introduces a model order reduction approach for an advection-reaction problem with a parametrized reaction function. The underlying discretization uses an ultrawe…