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20212024
most citedPGD reduced-order modeling for structural dynamics applications

8 citations

6 papers

math.NA2024

Conjugate gradient for ill-posed problems: regularization by preconditioning, preconditioning by regularization

Ahmed Chabib, Jean-Francois Witz, Vincent Magnier +1

This paper investigates using the conjugate gradient iterative solver for ill-posed problems. We show that preconditioner and Tikhonov-regularization work in conjunction. In partic…

math.NA2024★ 6 cited

On the implementation in Abaqus of the global--local iterative coupling and acceleration techniques

Omar Bettinotti, Stéphane Guinard, Eric Véron +1

This paper presents results and convergence study of the Global--Local Iterative Coupling through the implementation in the commercial software Abaqus making use of the co-simulati…

cs.CE2023★ 8 cited

PGD reduced-order modeling for structural dynamics applications

Clément Vella, Serge Prudhomme

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…

cs.DC2022

Asynchronous scalable version of the Global-Local non-invasive coupling

Ahmed El Kerim, Pierre Gosselet, Frederic Magoules

The Global-Local non-invasive coupling is an improvement of the submodeling technique, which permits to locally enhance structure computations by introducing patches with refined m…

cs.CE2022★ 1 cited

Parallel Multiphysics Simulation for the Stabilized Optimal Transportation Meshfree (OTM)

Sandeep Kumar, Pierre Gosselet, Dengpeng Huang +2

This paper presents a parallel \PG{implementation} for the Optimal Transportation Meshfree (OTM) method on large CPU clusters. Communications are handled with the Message Passing I…

physics.class-ph2021★ 1 cited

Constructing the Hamiltonian from the behaviour of a dynamical system by proper symplectic decomposition

Nima Shirafkan, Pierre Gosselet, Franz Bamer +3

The modal analysis is revisited through the symplectic formalism, what leads to two intertwined eigenproblems. Studying the properties of the solutions, we prove that they form a c…