We present in this article two components: these components can in fact serve various goals independently, though we consider them here as an ensemble. The first component is a technique for the rapid and reliable evaluation prediction of linear functional outputs of elliptic (and parabolic) partial differential equations with affine parameter dependence. The essential features are (i) (provably) rapidly convergent global reduced-basis approximations - Galerkin projection onto a space
Mots-clés : mathematical framework, reduced-basis methods, error bounds, computational framework, simulations repository, distributed and parallel computing, CORBA, C++
@article{M2AN_2002__36_5_747_0,
author = {Prud'homme, Christophe and Rovas, Dimitrios V. and Veroy, Karen and Patera, Anthony T.},
title = {A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {747--771},
publisher = {EDP-Sciences},
volume = {36},
number = {5},
year = {2002},
doi = {10.1051/m2an:2002035},
zbl = {1024.65104},
language = {en},
url = {https://numdam.org/articles/10.1051/m2an:2002035/}
}
TY - JOUR AU - Prud'homme, Christophe AU - Rovas, Dimitrios V. AU - Veroy, Karen AU - Patera, Anthony T. TI - A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2002 SP - 747 EP - 771 VL - 36 IS - 5 PB - EDP-Sciences UR - https://numdam.org/articles/10.1051/m2an:2002035/ DO - 10.1051/m2an:2002035 LA - en ID - M2AN_2002__36_5_747_0 ER -
%0 Journal Article %A Prud'homme, Christophe %A Rovas, Dimitrios V. %A Veroy, Karen %A Patera, Anthony T. %T A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations %J ESAIM: Modélisation mathématique et analyse numérique %D 2002 %P 747-771 %V 36 %N 5 %I EDP-Sciences %U https://numdam.org/articles/10.1051/m2an:2002035/ %R 10.1051/m2an:2002035 %G en %F M2AN_2002__36_5_747_0
Prud'homme, Christophe; Rovas, Dimitrios V.; Veroy, Karen; Patera, Anthony T. A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations. ESAIM: Modélisation mathématique et analyse numérique, Special issue on Programming, Tome 36 (2002) no. 5, pp. 747-771. doi : 10.1051/m2an:2002035. https://numdam.org/articles/10.1051/m2an:2002035/
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