9 papers
Software package MaRDI Open Interfaces for improved interoperability in numerical optimization
Dmitry I. Kabanov, Stephan Rave, Mario Ohlberger
To address the challenges of interoperability in computational science, we present the latest updates to the software package MaRDI Open Interfaces. This software package aims to d…
MaRDI Open Interfaces for Interoperable Nonlinear Optimization
Dmitry I. Kabanov, Stephan Rave, Mario Ohlberger
MaRDI Open Interfaces is a software package that aims to improve interoperability in scientific computing, particularly, for nonlinear optimization. To this end, this package holds…
Adaptive Reduced-Basis Trust-Region Methods for Defect Identification in Elastic Materials
Benedikt Klein, Mario Ohlberger, Thomas Schuster
Monitoring the integrity of elastic structures using ultrasonic waves requires the efficient identification of material parameters from measured surface displacements. The displace…
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…
A New Adaptive Deep Learning based Reduced Order Model for Hybrid-Type Parabolic PDEs: Rigorous Error Analysis and Applications
Dawid Kotowski, Mario Ohlberger
This contribution proposes novel data-driven surrogate modeling approaches for parameterized parabolic PDEs, where the parameter dependence can be split into two parts with differe…
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…