447 citations · 806 across the 17 of their papers we have counts for
Showing math.OCShow all
3 papers · 1 filter
math.OC2015★ 110 cited
A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems
Marco A. Iglesias
We introduce a derivative-free computational framework for approximating solutions to nonlinear PDE-constrained inverse problems. The aim is to merge ideas from iterative regulariz…
math.OC2013
The regularizing Levenberg-Marquardt scheme for history matching of petroleum reservoirs,
Marco Iglesias, Clint Dawson
In this paper we study a history matching approach that consists of finding stable approximations to the problem of minimizing the weighted least-squares functional that penalizes…
math.OC2012★ 447 cited
The Ensemble Kalman Filter for Inverse Problems
Marco A. Iglesias, Kody J. H. Law, Andrew M. Stuart
The Ensemble Kalman filter (EnKF) was introduced by Evensen in 1994 [10] as a novel method for data assimilation: state estimation for noisily observed time-dependent problems. Sin…