Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems

DOI10.4208/cicp.021013.260614azbMath1373.76084arXiv1402.5068OpenAlexW3103029122MaRDI QIDQ5372325

Bangti Jin, Xiaosi Tan, Presho Michael, Yalchin R. Efendiev

Publication date: 27 October 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5068

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (12)

Multilevel rejection sampling for approximate Bayesian computation ⋮ Multifidelity multilevel Monte Carlo to accelerate approximate Bayesian parameter inference for partially observed stochastic processes ⋮ Bayesian inversion of log-normal eikonal equations ⋮ Bayesian and variational Bayesian approaches for flows in heterogeneous random media ⋮ Uncertainty quantification of two-phase flow problems via measure theory and the generalized multiscale finite element method ⋮ Multilevel Markov chain Monte Carlo for Bayesian inverse problem for Navier-Stokes equation ⋮ Inverse modeling of tracer flow via a mass conservative generalized multiscale finite volume/element method and stochastic collocation ⋮ Multilevel approximate Bayesian approaches for flows in highly heterogeneous porous media and their applications ⋮ Generalized Multiscale Inversion for Heterogeneous Problems ⋮ Adaptive multiscale model reduction with generalized multiscale finite element methods ⋮ Time-consistent equilibrium reinsurance-investment strategy for \(n\) competitive insurers under a new interaction mechanism and a general investment framework ⋮ Implicit sampling for hierarchical Bayesian inversion and applications in fractional multiscale diffusion models

This page was built for publication: Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems