82 citations
5 papers
Delay-robust control design for two heterodirectional linear coupled hyperbolic PDEs
Jean Auriol, Jakob Ulf, Philippe Martin +1
We detail in this article the necessity of a change of paradigm for the delay-robust control of systems composed of two linear first order hyperbolic equations. One must go back to…
Ensemble Kalman filtering with residual nudging: an extension to state estimation problems with nonlinear observation operators
Xiaodong Luo, Ibrahim Hoteit
The ensemble Kalman filter (EnKF) is an efficient algorithm for many data assimilation problems. In certain circumstances, however, divergence of the EnKF might be spotted. In prev…
Toward an enhanced Bayesian estimation framework for multiphase flow soft-sensing
Xiaodong Luo, Rolf J. Lorentzen, Andreas S. Stordal +1
In this work the authors study the multiphase flow soft-sensing problem based on a previously established framework. There are three functional modules in this framework, namely, a…
Ensemble Kalman filtering with residual nudging
Xiaodong Luo, Ibrahim Hoteit
Covariance inflation and localization are two important techniques that are used to improve the performance of the ensemble Kalman filter (EnKF) by (in effect) adjusting the sample…
An error estimate for viscous approximate solutions of degenerate parabolic equations
Steinar Evje, Kenneth H. Karlsen
Relying on recent advances in the theory of entropy solutions for nonlinear (strongly) degenerate parabolic equations, we present a direct proof of an L^1 error estimate for viscou…