A Software Framework for Reduced Basis Methods Using DUNE-RB and RBMATLAB
M. Drohmann, B. Haasdonk, and M. Ohlberger. Advances in DUNE : proceedings of the DUNE User Meeting, page 7-88. Berlin, Springer, (2012)
Abstract
Many applications from science and engineering are based on parametrized evolution equations and depend on time-consuming parameter studies or need to ensure critical constraints on the simulation time. For both settings, model order reduction by the reduced basis approach is a suitable means to reduce computational time. The method is based on a projection of an underlying high dimensional nu- merical scheme onto a low dimensional function space. In this contribution, a new software framework is introduced that allows fast development of reduced schemes for a large class of discretizations of evolution equations implemented in DUNE. The approach provides a strict separation of low-dimensional and high-dimensional computations, each implemented by its own software package RBMATLAB, respectively DUNE-RB. The functionality of the framework is exemplified for a finite volume approximation of an instationary linear convection-diffusion problem.
%0 Conference Paper
%1 drohmann2012software
%A Drohmann, Martin
%A Haasdonk, Bernard
%A Ohlberger, Mario
%B Advances in DUNE : proceedings of the DUNE User Meeting
%C Berlin
%D 2012
%E Dedner, Andreas
%E Flemisch, Bernd
%E Klöfkorn, Robert
%I Springer
%K liste ubs_10008 ubs_20013 ubs_30123 ubs_40190 unibibliografie
%P 7-88
%T A Software Framework for Reduced Basis Methods Using DUNE-RB and RBMATLAB
%X Many applications from science and engineering are based on parametrized evolution equations and depend on time-consuming parameter studies or need to ensure critical constraints on the simulation time. For both settings, model order reduction by the reduced basis approach is a suitable means to reduce computational time. The method is based on a projection of an underlying high dimensional nu- merical scheme onto a low dimensional function space. In this contribution, a new software framework is introduced that allows fast development of reduced schemes for a large class of discretizations of evolution equations implemented in DUNE. The approach provides a strict separation of low-dimensional and high-dimensional computations, each implemented by its own software package RBMATLAB, respectively DUNE-RB. The functionality of the framework is exemplified for a finite volume approximation of an instationary linear convection-diffusion problem.
%@ 978-3-642-28589-9 and 978-3-642-28588-2
@inproceedings{drohmann2012software,
abstract = {Many applications from science and engineering are based on parametrized evolution equations and depend on time-consuming parameter studies or need to ensure critical constraints on the simulation time. For both settings, model order reduction by the reduced basis approach is a suitable means to reduce computational time. The method is based on a projection of an underlying high dimensional nu- merical scheme onto a low dimensional function space. In this contribution, a new software framework is introduced that allows fast development of reduced schemes for a large class of discretizations of evolution equations implemented in DUNE. The approach provides a strict separation of low-dimensional and high-dimensional computations, each implemented by its own software package RBMATLAB, respectively DUNE-RB. The functionality of the framework is exemplified for a finite volume approximation of an instationary linear convection-diffusion problem.},
added-at = {2020-03-27T16:33:18.000+0100},
address = {Berlin},
author = {Drohmann, Martin and Haasdonk, Bernard and Ohlberger, Mario},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2419b1c72908b4e7051a60dcda2daed26/unibiblio},
booktitle = {Advances in DUNE : proceedings of the DUNE User Meeting},
editor = {Dedner, Andreas and Flemisch, Bernd and Klöfkorn, Robert},
eventdate = {2010-10-06/2010-10-08},
eventtitle = {DUNE User Meeting},
interhash = {69fc1b0b66363058ed42912aa2fdfead},
intrahash = {419b1c72908b4e7051a60dcda2daed26},
isbn = {{978-3-642-28589-9} and {978-3-642-28588-2}},
keywords = {liste ubs_10008 ubs_20013 ubs_30123 ubs_40190 unibibliografie},
language = {eng},
pages = {7-88},
publisher = {Springer},
timestamp = {2020-03-27T15:33:18.000+0100},
title = {A Software Framework for Reduced Basis Methods Using DUNE-RB and RBMATLAB},
venue = {Stuttgart},
year = 2012
}