From the 1 of 668 papers with an AI index.
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8 papers · 2 filters
Parareal computation of stochastic differential equations with time-scale separation: a numerical study
Tony Lelièvre, Frédéric Legoll, Keith Myerscough +1
The parareal algorithm is known to allow for a significant reduction in wall clock time for accurate numerical solutions by parallelising across the time dimension. We present and…
A variational discrete element method for quasi-static and dynamic elasto-plasticity
Frédéric Marazzato, Alexandre Ern, Laurent Monasse
We propose a new discrete element method supporting general polyhedral meshes. The method can be understood as a lowest-order discontinuous Galerkin method parametrized by the cont…
Convergence of the likelihood ratio method for linear response of non-equilibrium stationary states
Petr Plechac, Gabriel Stoltz, Ting Wang
We consider numerical schemes for computing the linear response of steady-state averages of stochastic dynamics with respect to a perturbation of the drift part of the stochastic d…
Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces
V. Ehrlacher, D. Lombardi, O. Mula +1
We consider the problem of model reduction of parametrized PDEs where the goal is to approximate any function belonging to the set of solutions at a reduced computational cost. For…
An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms
Victor M. Calo, Alexandre Ern, Ignacio Muga +1
We design and analyze a new adaptive stabilized finite element method. We construct a discrete approximation of the solution in a continuous trial space by minimizing the residual…
-Version discontinuous Galerkin methods on essentially arbitrarily-shaped elements
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
We extend the applicability of the popular interior-penalty discontinuous Galerkin (dG) method discretizing advection-diffusion-reaction problems to meshes comprising extremely gen…