Approximation of constrained problems using the PGD method with application to pure Neumann problems
| dc.contributor.author | Kergrene, Kenan | |
| dc.contributor.author | Prudhomme, Serge | |
| dc.contributor.author | Chamoin, Ludovic | |
| dc.contributor.author | Laforest, Marc | |
| dc.date.accessioned | 2021-04-05T07:44:49Z | |
| dc.date.available | 2021-04-05T07:44:49Z | |
| dc.date.issued | 2017-04 | |
| dc.identifier.citation | Kergrene, K., Prudhomme, S., Chamoin, L., & Laforest, M. (2017). Approximation of constrained problems using the PGD method with application to pure Neumann problems. Computer Methods in Applied Mechanics and Engineering, 317, 507–525. doi:10.1016/j.cma.2016.12.023 | |
| dc.identifier.issn | 0045-7825 | |
| dc.identifier.doi | 10.1016/j.cma.2016.12.023 | |
| dc.identifier.uri | http://hdl.handle.net/10754/668543 | |
| dc.description.abstract | In this paper we introduce, analyze, and compare several approaches designed to incorporate a linear (or affine) constraint within the Proper Generalized Decomposition framework. We apply the considered methods and numerical strategies to two classes of problems: the pure Neumann case where the role of the constraint is to recover unicity of the solution; and the Robin case, where the constraint forces the solution to move away from the already existing unique global minimizer of the energy functional. | |
| dc.description.sponsorship | SP is grateful for the support by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada. He also acknowledges the support by KAUST under Award Number OCRF-2014-CRG3-2281. | |
| dc.publisher | Elsevier BV | |
| dc.relation.url | https://linkinghub.elsevier.com/retrieve/pii/S0045782516312117 | |
| dc.rights | NOTICE: this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Methods in Applied Mechanics and Engineering, [317, , (2017-04)] DOI: 10.1016/j.cma.2016.12.023 . © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.title | Approximation of constrained problems using the PGD method with application to pure Neumann problems | |
| dc.type | Article | |
| dc.identifier.journal | Computer Methods in Applied Mechanics and Engineering | |
| dc.rights.embargodate | 2019-01-13 | |
| dc.eprint.version | Post-print | |
| dc.contributor.institution | Département de mathématiques et de génie industriel, École Polytechnique de Montréal, Montréal, Québec, H3T 1J4, Canada | |
| dc.contributor.institution | LMT, ENS Cachan, CNRS, Université Paris-Saclay, 61 Avenue du Président Wilson, Cachan, 94230, France | |
| dc.identifier.volume | 317 | |
| dc.identifier.pages | 507-525 | |
| kaust.grant.number | CRG3 | |
| kaust.grant.number | OCRF-2014-CRG | |
| dc.identifier.eid | 2-s2.0-85009160767 | |
| kaust.acknowledged.supportUnit | CRG |