Multilevel approximate Bayesian approaches for flows in highly heterogeneous porous media and their applications

DOI10.1016/j.cam.2016.10.008zbMath1381.76311OpenAlexW2555343587MaRDI QIDQ508047

Xiaosi Tan, Nilabja Guha

Publication date: 9 February 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.10.008

zbMATH Keywords

two-phase flowporous mediamultiscaleMCMCapproximate BayesianMLMC

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic particle methods (65C35)

Related Items

Multilevel rejection sampling for approximate Bayesian computation, Multifidelity multilevel Monte Carlo to accelerate approximate Bayesian parameter inference for partially observed stochastic processes, Dynamic data-driven Bayesian GMsFEM, Efficient multifidelity likelihood-free Bayesian inference with adaptive computational resource allocation

Uses Software

• abc

Cites Work

• Generalized multiscale finite element methods (GMsFEM)
• Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
• Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients
• An adaptive GMsFEM for high-contrast flow problems
• Multilevel Monte Carlo Path Simulation
• Adaptive approximate Bayesian computation
• Mixed Generalized Multiscale Finite Element Methods and Applications
• Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations
• Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems
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