000225107 001__ 225107
000225107 005__ 20181203024534.0
000225107 0247_ $$2doi$$a10.1051/m2an/2016009
000225107 022__ $$a0764-583X
000225107 02470 $$2ISI$$a000388087600011
000225107 037__ $$aARTICLE
000225107 245__ $$aReduced Basis Approximation And A Posteriori Error Estimates For Parametrized Elliptic Eigenvalue Problems
000225107 260__ $$aLes Ulis Cedex A$$bEdp Sciences S A$$c2016
000225107 269__ $$a2016
000225107 300__ $$a29
000225107 336__ $$aJournal Articles
000225107 520__ $$aWe develop a new reduced basis (RB) method for the rapid and reliable approximation of parametrized elliptic eigenvalue problems. The method hinges upon dual weighted residual type a posteriori error indicators which estimate, for any value of the parameters, the error between the high-fidelity finite element approximation of the first eigenpair and the corresponding reduced basis approximation. The proposed error estimators are exploited not only to certify the RB approximation with respect to the high-fidelity one, but also to set up a greedy algorithm for the offline construction of a reduced basis space. Several numerical experiments show the overall validity of the proposed RB approach.
000225107 6531_ $$aParametrized eigenvalue problems
000225107 6531_ $$areduced basis method
000225107 6531_ $$aa posteriori error estimation
000225107 6531_ $$agreedy algorithm
000225107 6531_ $$adual weighted residual
000225107 700__ $$aFumagalli, Ivan$$uPolitecn Milan, Dipartimento Matemat F Brioschi, MOX Modellist & Calcolo Sci, Via Bonardi 9, I-20133 Milan, Italy
000225107 700__ $$0242881$$aManzoni, Andrea$$g190484
000225107 700__ $$0241230$$aParolini, Nicola$$g146672$$uPolitecn Milan, Dipartimento Matemat F Brioschi, MOX Modellist & Calcolo Sci, Via Bonardi 9, I-20133 Milan, Italy
000225107 700__ $$aVerani, Marco$$uPolitecn Milan, Dipartimento Matemat F Brioschi, MOX Modellist & Calcolo Sci, Via Bonardi 9, I-20133 Milan, Italy
000225107 773__ $$j50$$k6$$q1857-1885$$tEsaim-Mathematical Modelling And Numerical Analysis-Modelisation Mathematique Et Analyse Numerique
000225107 909C0 $$0252102$$pCMCS$$xU10797
000225107 909CO $$ooai:infoscience.tind.io:225107$$pSB$$particle
000225107 917Z8 $$x159570
000225107 937__ $$aEPFL-ARTICLE-225107
000225107 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000225107 980__ $$aARTICLE