Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo
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Publication:3304773
DOI10.1007/978-3-319-26520-9_15zbMath1459.76109OpenAlexW2296191746MaRDI QIDQ3304773
Jan Mohring, O. P. Iliev, Ole Klein, Adrian Ngo, René Milk, Peter Bastian, Mario Ohlberger
Publication date: 3 August 2020
Published in: Large-Scale Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-26520-9_15
multilevel Monte Carlo methodmultiscale finite element methodrandom permeabilityEXA-DUNE software package
Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
Unnamed Item, Renormalization Based MLMC Method for Scalar Elliptic SPDE, Parallel Multilevel Monte Carlo Algorithms for Elliptic PDEs with Random Coefficients, Multivariate Monte Carlo Approximation Based on Scattered Data, Parallel accelerated cyclic reduction preconditioner for three-dimensional elliptic PDEs with variable coefficients
Uses Software
Cites Work
- Unnamed Item
- Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
- Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation
- A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Multilevel Monte Carlo methods using ensemble level mixed MsFEM for two-phase flow and transport simulations
- Multilevel Monte Carlo Path Simulation
- Multiscale Finite Element Methods
- An Analytical Framework for Numerical Homogenization. Part II: Windowing and Oversampling
- Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix
- Oversampling for the Multiscale Finite Element Method