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

Bayesian inverse problems with Monte Carlo forward models

(2013) Youssef Marzouk et al.   Inverse Problems and Imaging

A Systematic Coarse-Scale Model Reduction Technique for Parameter-Dependent Flows in Highly Heterogeneous Media and Its Applications

(2012) Yalchin Efendiev et al.   MULTISCALE MODELING & SIMULATION

Application of the two-stage Markov chain Monte Carlo method for characterization of fractured reservoirs using a surrogate flow model

(2011) Victor Ginting et al.   COMPUTATIONAL GEOSCIENCES

Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems

(2011) Ivo Babuska et al.   MULTISCALE MODELING & SIMULATION

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

(2011) Andrea Barth et al.   NUMERISCHE MATHEMATIK

Multiscale finite element methods for high-contrast problems using local spectral basis functions

(2010) Yalchin Efendiev et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations

(2008) G. Rozza et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales

(2008) N.C. Nguyen   JOURNAL OF COMPUTATIONAL PHYSICS

Reduced-Basis Approach for Homogenization beyond the Periodic Setting

(2008) Sébastien Boyaval   MULTISCALE MODELING & SIMULATION

Multilevel Monte Carlo Path Simulation

(2008) Michael B. Giles   OPERATIONS RESEARCH