IOLLO, Angelo; SAMBATARO, Giulia; TADDEI, Tommaso

doi:10.1016/j.cma.2022.115786

Metadatos

Licencia de uso del documento

IOLLO, Angelo
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]

SAMBATARO, Giulia
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]

TADDEI, Tommaso
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]

Idioma

Article de revue

Este ítem está publicado en

Computer Methods in Applied Mechanics and Engineering. 2023-02, vol. 404, p. 115786

Elsevier

Resumen en inglés

We propose a component-based (CB) parametric model order reduction (pMOR) formulation for parameterized nonlinear elliptic partial differential equations (PDEs) based on overlapping subdomains. Our approach reads as a constrained optimization statement that penalizes the jump at the components’ interfaces subject to the approximate satisfaction of the PDE in each local subdomain. Furthermore, the approach relies on the decomposition of the local states into a port component – associated with the solution on interior boundaries – and a bubble component that vanishes at ports: since the bubble components are uniquely determined by the solution value at the corresponding port, we can recast the constrained optimization statement into an unconstrained statement, which reads as a nonlinear least-squares problem and can be solved using the Gauss–Newton method. We present thorough numerical investigations for a two-dimensional neo-Hookean nonlinear mechanics problem to validate our method; we further discuss the well-posedness of the mathematical formulation and the a priori error analysis for linear coercive problems.< Leer menos

Palabras clave en inglés

parameterized partial differential equations

model order reduction

overlapping domain decom- position

alternating Schwarz method

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190766

DOI

http://dx.doi.org/10.1016/j.cma.2022.115786

Proyecto europeo

Accurate Roms for Industrial Applications

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251