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Parallel Multilevel Monte Carlo for Two-Phase Flow and Transport in Random Heterogeneous Porous Media With Sampling-Error and Discretization-Error Balancing

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4684-6754-3openalex-snapshot

Large Scale Scientific Computing

inferredcites →https://doi.org/10.1007/s00211-011-0377-0openalex-snapshot

Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients

inferredcites →https://doi.org/10.1007/s00791-011-0160-xopenalex-snapshot

Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients

inferredcites →https://doi.org/10.1007/s10596-013-9358-yopenalex-snapshot

Multilevel Monte Carlo methods using ensemble level mixed MsFEM for two-phase flow and transport simulations

inferredcites →https://doi.org/10.1016/j.jcp.2009.06.032openalex-snapshot

Unconditionally convergent nonlinear solver for hyperbolic conservation laws with S-shaped flux functions

inferredcites →https://doi.org/10.1016/j.jcp.2012.01.011openalex-snapshot

Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions

inferredcites →https://doi.org/10.1016/j.jcp.2013.03.023openalex-snapshot

Multilevel Monte Carlo for two phase flow and Buckley–Leverett transport in random heterogeneous porous media

inferredcites →https://doi.org/10.1080/10618600.1994.10474655openalex-snapshot

Simulation of Stationary Gaussian Processes in [0, 1]d

inferredcites →https://doi.org/10.1090/s0025-5718-2012-02574-9openalex-snapshot

Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data

inferredcites →https://doi.org/10.1137/110853054openalex-snapshot

Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods

inferredcites →https://doi.org/10.1137/s1064827592240555openalex-snapshot

Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix

inferredcites →https://doi.org/10.1287/opre.1070.0496openalex-snapshot

Multilevel Monte Carlo Path Simulation

inferredcites →https://doi.org/10.2307/1390903openalex-snapshot

Simulation of Stationary Gaussian Processes in [0,1] d

inferredcites →https://doi.org/10.7551/mitpress/3206.001.0001openalex-snapshot

Gaussian Processes for Machine Learning

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4657642openalex-extracted

inferred← citeshttps://doi.org/10.1002/aic.16045openalex-snapshot

Multilevel Monte Carlo applied to chemical engineering systems subject to uncertainty

inferred← citeshttps://doi.org/10.1002/aic.16262openalex-snapshot

Multilevel Monte Carlo applied for uncertainty quantification in stochastic multiscale systems

inferred← citeshttps://doi.org/10.1007/s10596-017-9650-3openalex-snapshot

Non-local generalization of Darcy’s law based on empirically extracted conductivity kernels

inferred← citeshttps://doi.org/10.1007/s10596-019-9825-1openalex-snapshot

Multifidelity framework for uncertainty quantification with multiple quantities of interest

inferred← citeshttps://doi.org/10.1016/j.jcp.2024.113559openalex-snapshot

Small-sample Bayesian error estimation for ergodic, chaotic systems of ordinary differential equations

inferred← citeshttps://doi.org/10.1016/j.petrol.2017.08.009openalex-snapshot

Operator-based linearization for general purpose reservoir simulation

inferred← citeshttps://doi.org/10.1017/jfm.2020.529openalex-snapshot

Sub-representative elementary volume homogenization of flow in porous media with isolated embedded fractures

inferred← citeshttps://doi.org/10.1029/2019wr026984openalex-snapshot

Accelerated Multilevel Monte Carlo With Kernel‐Based Smoothing and Latinized Stratification

inferred← citeshttps://doi.org/10.3997/2214-4609.201601853openalex-snapshot

Non-local Generalization of Darcy’s Law Based on Empirically Extracted Conductivity Kernels

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