Zobrazeno 1 - 10
of 166
pro vyhledávání: '"Prudhomme, Serge"'
Local-nonlocal coupling approaches combine the computational efficiency of local models and the accuracy of nonlocal models. However, the coupling process is challenging, requiring expertise to identify the interface between local and nonlocal region
Externí odkaz:
http://arxiv.org/abs/2404.15388
We propose in this paper a Proper Generalized Decomposition (PGD) solver for reduced-order modeling of linear elastodynamic problems. It primarily focuses on enhancing the computational efficiency of a previously introduced PGD solver based on the Ha
Externí odkaz:
http://arxiv.org/abs/2401.17804
The solution to partial differential equations using deep learning approaches has shown promising results for several classes of initial and boundary-value problems. However, their ability to surpass, particularly in terms of accuracy, classical disc
Externí odkaz:
http://arxiv.org/abs/2308.11503
Deep operator networks (DeepONets) have demonstrated their capability of approximating nonlinear operators for initial- and boundary-value problems. One attractive feature of DeepONets is their versatility since they do not rely on prior knowledge ab
Externí odkaz:
http://arxiv.org/abs/2307.13902
Numerical predictions of quantities of interest measured within physical systems rely on the use of mathematical models that should be validated, or at best, not invalidated. Model validation usually involves the comparison of experimental data (outp
Externí odkaz:
http://arxiv.org/abs/2303.06114
Autor:
Vella, Clément, Prudhomme, Serge
Publikováno v:
Computer Methods in Applied Mechanics and Engineering, 2022, 402, pp.115736
We propose in this paper a Proper Generalized Decomposition (PGD) approach for the solution of problems in linear elastodynamics. The novelty of the work lies in the development of weak formulations of the PGD problems based on the Lagrangian and Ham
Externí odkaz:
http://arxiv.org/abs/2301.10633
Autor:
Diehl, Patrick, Prudhomme, Serge
Local-nonlocal coupling approaches provide a means to combine the computational efficiency of local models and the accuracy of nonlocal models. This paper studies the continuous and discrete formulations of three existing approaches for the coupling
Externí odkaz:
http://arxiv.org/abs/2203.09934
Publikováno v:
In Computers and Mathematics with Applications 1 April 2024 159:21-30
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 February 2024 419
Autor:
Prudhomme, Serge, Diehl, Patrick
In this paper, we propose two approaches to apply boundary conditions for bond-based peridynamic models. There has been in recent years a renewed interest in the class of so-called non-local models, which include peridynamic models, for the simulatio
Externí odkaz:
http://arxiv.org/abs/2008.09725