In this paper we introduce the Localized Reduced Basis Multiscale
(LRBMS) method for parameter dependent heterogeneous elliptic multiscale
problems. The LRBMS method brings together ideas from both Reduced
Basis methods to efficiently solve parametrized problems and from
multiscale methods in order to deal with complex heterogeneities
and large domains. Experiments on 2D and real world 3D data demonstrate
the performance of the approach.
%0 Conference Paper
%1 albrecht2012localized
%A Albrecht, Felix
%A Haasdonk, Bernard
%A Kaulmann, Sven
%A Ohlberger, Mario
%B Algoritmy 2012
%D 2012
%E Handlovicová, Angela
%E Minarechová, Zuzana
%E \v
Sevcovic, Daniel
%I Publishing House of STU
%K from:mhartmann ians imported vorlaeufig
%P 393--403
%T The Localized Reduced Basis Multiscale Method
%U http://www.iam.fmph.uniba.sk/algoritmy2012/
%X In this paper we introduce the Localized Reduced Basis Multiscale
(LRBMS) method for parameter dependent heterogeneous elliptic multiscale
problems. The LRBMS method brings together ideas from both Reduced
Basis methods to efficiently solve parametrized problems and from
multiscale methods in order to deal with complex heterogeneities
and large domains. Experiments on 2D and real world 3D data demonstrate
the performance of the approach.
@inproceedings{albrecht2012localized,
abstract = {In this paper we introduce the Localized Reduced Basis Multiscale
(LRBMS) method for parameter dependent heterogeneous elliptic multiscale
problems. The LRBMS method brings together ideas from both Reduced
Basis methods to efficiently solve parametrized problems and from
multiscale methods in order to deal with complex heterogeneities
and large domains. Experiments on 2D and real world 3D data demonstrate
the performance of the approach.},
added-at = {2018-07-20T10:54:56.000+0200},
affiliation = {Slovak University of Technology in Bratislava},
author = {Albrecht, Felix and Haasdonk, Bernard and Kaulmann, Sven and Ohlberger, Mario},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/25e54ba222d19202f7811a4989c60e4eb/mathematik},
booktitle = {Algoritmy 2012},
date-added = {2012-10-24T14:53:21GMT},
date-modified = {2014-05-14T09:52:11GMT},
editor = {Handlovi{\v c}ov{\'a}, Angela and Minarechov{\'a}, Zuzana and {\v
S}ev{\v c}ovi{\v c}, Daniel},
file = {:http\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/Albrecht2012_www_LRBMS_method_Algoritmy_Proceedings.pdf:PDF},
interhash = {72721bca19141459981c51d70a335493},
intrahash = {5e54ba222d19202f7811a4989c60e4eb},
keywords = {from:mhartmann ians imported vorlaeufig},
month = apr,
organization = {Slovak University of Technology in Bratislava},
owner = {kaulmann},
pages = {393--403},
publisher = {Publishing House of STU},
rating = {0},
read = {Yes},
timestamp = {2019-12-18T14:37:55.000+0100},
title = {{The Localized Reduced Basis Multiscale Method}},
url = {http://www.iam.fmph.uniba.sk/algoritmy2012/},
year = 2012
}