Efficient geostatistical inverse methods for structured and unstructured grids

By Wei Li, Olaf A. Cirpka. 2006

56 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/f6124092917c316632845480030f49880d4736b8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Environmental Engineering

Citations in the corpus

A generalized grid connectivity–based parameterization for subsurface flow model calibration (2011, methodology): “The Karhunen‐Loève transform (KLT), or principle component analysis (PCA), has been widely used [Gavalas et al., 1976; Karhunen, 1947; Loève, 1978; Reynolds et al., 1996; Li and Cirpka, 2006; Ma et al., 2008; Jafarpour and McLaughlin, 2009].”
Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems (2008, methodology): “Li & Cirpka [31] emphasize the role of K-L expansions in enabling geostatistical inversion on unstructured grids.”
Best unbiased ensemble linearization and the quasi‐linear Kalman ensemble generator (2009, methodology): “Extensions to irregular grids are offered by Fritz et al. [2009] and Li and Cirpka [2006] .”
Efficient posterior exploration of a high‐dimensional groundwater model from two‐stage Markov chain Monte Carlo simulation and polynomial chaos expansion (2013, background): “…smooth covariance model, such as the exponential covariance function, on the contrary, would allow a much higher level of spatial detail and variability, but at the expense of several hundreds of KL modes to preserve 95% of the variance of the log conductivity field [e.g., Li and Cirpka, 2006].”
Surrogate and reduced-order modeling: a comparison of approaches for large-scale statistical inverse problems [Chapter 7] (2010, background): “Li and Cirpka (2006) emphasize the rol of K-L expansions in enabling geostatistical inversion on unstructured g ids.”