131 citations · 545 across the 59 of their papers we have counts for
4 papers · 1 filter
A Parareal Algorithm with Low-Rank Coarse Solvers
Martin J. Gander, Mario Ohlberger, Stephan Rave
We consider a new class of Parareal algorithms, which use ideas from localized reduced basis methods to construct the coarse solver from truncated SVD approximations of the transfe…
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…
Improving Interoperability in Scientific Computing via MaRDI Open Interfaces
Dmitry I. Kabanov, Stephan Rave, Mario Ohlberger
MaRDI Open Interfaces is a software project aimed at improving reuse and interoperability in Scientific Computing by alleviating the difficulties of crossing boundaries between dif…
Multi-fidelity Learning of Reduced Order Models for Parabolic PDE Constrained Optimization
Benedikt Klein, Mario Ohlberger
This article builds on the recently proposed RB-ML-ROM approach for parameterized parabolic PDEs and proposes a novel hierarchical Trust Region algorithm for solving parabolic PDE…