From the 1 of 668 papers with an AI index.
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6 papers · 2 filters
A conservative coupling algorithm between a compressible flow and a rigid body using an Embedded Boundary method
Laurent Monasse, Virginie Daru, Christian Mariotti +2
This paper deals with a new solid-fluid coupling algorithm between a rigid body and an unsteady compressible fluid flow, using an Embedded Boundary method. The coupling with a rigi…
Symmetric parareal algorithms for Hamiltonian systems
X. Dai, C. Le Bris, F. Legoll +1
The parareal in time algorithm allows to efficiently use parallel computing for the simulation of time-dependent problems. It is based on a decomposition of the time interval into…
Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case
Matthew Dobson, Claude Le Bris, Frederic Legoll
We follow up on our previous works which presented a possible approach for deriving symplectic schemes for a certain class of highly oscillatory Hamiltonian systems. The approach c…
The Spectrum of the Force-Based Quasicontinuum Operator for a Homogeneous Periodic Chain
Matthew Dobson, Christoph Ortner, Alexander V. Shapeev
We show under general conditions that the linearized force-based quasicontinuum (QCF) operator has a positive spectrum, which is identical to the spectrum of the quasinonlocal quas…
Reduced basis techniques for stochastic problems
Sébastien Boyaval, Claude Le Bris, Tony Lelièvre +3
We report here on the recent application of a now classical general reduction technique, the Reduced-Basis approach initiated in [C. Prud'homme, D. Rovas, K. Veroy, Y. Maday, A. T.…
Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models
Eric Cancès, Rachida Chakir, Yvon Maday
We provide a priori error estimates for the spectral and pseudospectral Fourier (also called planewave) discretizations of the periodic Thomas-Fermi-von Weizsäcker (TFW) model and…