3 papers
math.NA2019
A parametric acceleration of multilevel Monte Carlo convergence for nonlinear variably saturated flow
Prashant Kumar, Carmen Rodrigo, Francisco J. Gaspar +1
We present a multilevel Monte Carlo (MLMC) method for the uncertainty quantification of variably saturated porous media flow that are modeled using the Richards' equation. We propo…
physics.comp-ph2018
Stochastic turbulence modeling in RANS simulations via Multilevel Monte Carlo
Prashant Kumar, Martin Schmelzer, Richard P. Dwight
A multilevel Monte Carlo (MLMC) method for quantifying model-form uncertainties associated with the Reynolds-Averaged Navier-Stokes (RANS) simulations is presented. Two, high-dimen…
math.NA2018
On local Fourier analysis of multigrid methods for PDEs with jumping and random coefficients
Prashant Kumar, Carmen Rodrigo, Francisco J. Gaspar +1
In this paper, we propose a novel non-standard Local Fourier Analysis (LFA) variant for accurately predicting the multigrid convergence of problems with random and jumping coeffici…