49 citations · 110 across the 7 of their papers we have counts for
7 papers
Towards Automatic and Reliable Localized Model Order Reduction
Andreas Buhr
Finite element based simulation of phenomena governed by partial differential equations is a standard tool in many engineering workflows today. However, the simulation of complex g…
Localized model reduction for parameterized problems
Andreas Buhr, Laura Iapichino, Mario Ohlberger +3
In this contribution we present a survey of concepts in localized model order reduction methods for parameterized partial differential equations. The key concept of localized model…
Exponential Convergence of Online Enrichment in Localized Reduced Basis Methods
Andreas Buhr
Online enrichment is the extension of a reduced solution space based on the solution of the reduced model. Procedures for online enrichment were published for many localized model…
Randomized Local Model Order Reduction
Andreas Buhr, Kathrin Smetana
In this paper we propose local approximation spaces for localized model order reduction procedures such as domain decomposition and multiscale methods. Those spaces are constructed…
ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics
Andreas Buhr, Christian Engwer, Mario Ohlberger +1
The simulation method ArbiLoMod has the goal to provide users of Finite Element based simulation software with quick re-simulation after localized changes to the model under consid…
ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications
Andreas Buhr, Christian Engwer, Mario Ohlberger +1
Engineers manually optimizing a structure using Finite Element based simulation software often employ an iterative approach where in each iteration they change the structure slight…
A numerically stable a posteriori error estimator for reduced basis approximations of elliptic equations
Andreas Buhr, Christian Engwer, Mario Ohlberger +1
The Reduced Basis (RB) method is a well established method for the model order reduction of problems formulated as parametrized partial differential equations. One crucial requirem…