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17 papers · 1 filter
Elasto-acoustic wave propagation in geophysical media using hybrid high-order methods on general meshes
Romain Mottier, Alexandre Ern, Laurent Guillot
Hybrid high-order (HHO) methods are numerical methods characterized by several interesting properties such as local conservativity, geometric flexibility and high-order accuracy. H…
Change of Measure for Bayesian Field Inversion with Hierarchical Hyperparameters Sampling
Nadège Polette, Olivier Le Maître, Pierre Sochala +1
This paper proposes an effective treatment of hyperparameters in the Bayesian inference of a scalar field from indirect observations. Obtaining the joint posterior distribution of…
A cell-based population control of Monte Carlo particles for the global variance reduction for transport equations
Laetitia Laguzet, Gabriel Turinici
We present a population control method with sampling and regulation steps for Monte Carlo particles involved in the numerical simulation of a transport equation. We recall in the f…
An implicit FFT-based method for wave propagation in elastic heterogeneous media
R. Sancho, V. Rey de Pedraza, P. Lafourcade +2
An FFT-based algorithm is developed to simulate the propagation of elastic waves in heterogeneous -dimensional rectangular shape domains. The method allows one to prescribe the…
An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics
Frédéric Marazzato, Alexandre Ern, Christian Mariotti +1
We propose a new explicit pseudo-energy and momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is base…
Boosted optimal weighted least-squares
Cécile Haberstich, Anthony Nouy, Guillaume Perrin
This paper is concerned with the approximation of a function in a given approximation space of dimension from evaluations of the function at suitably chosen point…