Powered by OpenAIRE graph
Found an issue? Give us feedback
addClaim

This Research product is the result of merged Research products in OpenAIRE.

You have already added 0 works in your ORCID record related to the merged Research product.

A Shared Memory Parallel Implementation of the IRKA Algorithm for $\mathcal{H}_2$ Model Order Reduction

Authors: Martin Köhler; Jens Saak;

A Shared Memory Parallel Implementation of the IRKA Algorithm for $\mathcal{H}_2$ Model Order Reduction

Abstract

Dealing with large scale dynamical systems is important in many industrial applications. In design and optimization, it is often impossible to work with the original large scale system due to the necessary time for simulation. In order to make this process economically acceptable one has to replace these large scale models by smaller ones which preserve the essential properties and dynamics of the original one. After the computation of a reduced order model a fast simulation is possible. The reduced order model can be obtained by different techniques minimizing the reduction error with respect to different system norms. One of the most common techniques in this application area is balanced truncation [8] which approximates with respect to the $\mathcal{H}_\infty$-norm. A parallel implementation of this is available in PLiCMR [2]. In this contribution we focus on the parallel implementation of the IRKA algorithm employing the $\mathcal{H}_2$-norm [1,11] for measuring the error.

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    1
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!