Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4964116 | Computer Methods in Applied Mechanics and Engineering | 2017 | 30 Pages |
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.
Keywords
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Kenan Kergrene, Serge Prudhomme, Ludovic Chamoin, Marc Laforest,