activity
20192024
most citedUncertainty quantification in the Henry problem using the multilevel Monte Carlo method

4 citations · 7 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA2024★ 3 cited

Estimation of uncertainties in the density driven flow in fractured porous media using MLMC

Dmitry Logashenko, Alexander Litvinenko, Raul Tempone +1

We use the Multi Level Monte Carlo method to estimate uncertainties in a Henry-like salt water intrusion problem with a fracture. The flow is induced by the variation of the densit…

cs.CE2024★ 4 cited

Uncertainty quantification in the Henry problem using the multilevel Monte Carlo method

Dmitry Logashenko, Alexander Litvinenko, Raul Tempone +2

We investigate the applicability of the well-known multilevel Monte Carlo (MLMC) method to the class of density-driven flow problems, in particular the problem of salinisation of c…

math.NA2023

Uncertainty quantification in coastal aquifers using the multilevel Monte Carlo method

Alexander Litvinenko, Dmitry Logashenko, Raul Tempone +2

We consider a class of density-driven flow problems. We are particularly interested in the problem of the salinization of coastal aquifers. We consider the Henry saltwater intrusio…

math.NA2019

Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability

Alexander Litvinenko, Dmitry Logashenko, Raul Tempone +2

As groundwater is an essential nutrition and irrigation resource, its pollution may lead to catastrophic consequences. Therefore, accurate modeling of the pollution of the soil and…

math.NA2019

Propagation of Uncertainties in Density-Driven Flow

Alexander Litvinenko, Dmitry Logashenko, Raul Tempone +2

Accurate modeling of contamination in subsurface flow and water aquifers is crucial for agriculture and environmental protection. Here, we demonstrate a parallel method to quantify…