%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 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 = {2018-07-20T10:54:15.000+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/mhartmann}, 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 = {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 = {2018-07-20T08:54:15.000+0200}, title = {{The Localized Reduced Basis Multiscale Method}}, url = {http://www.iam.fmph.uniba.sk/algoritmy2012/}, year = 2012 }