Solving linear systems with multiple right-hand sides with gmres: An application to aircraft design

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

To create efficient new aerodynamic designs or predict the onset of flutter, the linearised Navier-Stokes equations might be used. In some cases, many right-hand sides must be solved keeping the same matrix. In this paper, techniques which enable to solve several right-hand sides at the same time, such as Block GMRes, or reuse pieces of information computed in the previous solves, such as Krylov space recycling, are investigated. They will be tested on both simple and industrial test cases.

Original languageEnglish
Title of host publicationECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
EditorsM. Papadrakakis, V. Plevris, G. Stefanou, V. Papadopoulos
PublisherNational Technical University of Athens
Pages7358-7371
Number of pages14
ISBN (Electronic)9786188284401
DOIs
Publication statusPublished - 1 Jan 2016
Event7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece
Duration: 5 Jun 201610 Jun 2016

Publication series

NameECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Volume4

Conference

Conference7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
Country/TerritoryGreece
CityCrete
Period5/06/1610/06/16

Keywords

  • Block GMRes
  • Finite elements
  • GMRes
  • HPC
  • Linearized navier-stokes

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