# Ensemble Kalman Inversion method for an inverse problem in soil-structure interaction

@article{Scandurra2022EnsembleKI, title={Ensemble Kalman Inversion method for an inverse problem in soil-structure interaction}, author={Leonardo Scandurra}, journal={ArXiv}, year={2022}, volume={abs/2205.07560} }

The interaction between the foundation structures and the soil has been developed for many engineering applications. For the determination of the stress in foundation structure it is needed to determine the inﬂuence of the stiﬀness of soil with respect to the displacement w of the deformable plate (direct problem), and viceversa, how the stiﬀness of the foundation structure aﬀects the resulting subsidence (inverse problem). In this paper, we deal with the Winkler mathematical model and propose…

## References

SHOWING 1-10 OF 27 REFERENCES

Analysis of the Ensemble Kalman Filter for Inverse Problems

- MathematicsSIAM J. Numer. Anal.
- 2017

The goal of this paper is to analyze the EnKF when applied to inverse problems with fixed ensemble size, and to demonstrate that the conclusions of the analysis extend beyond the linear inverse problem setting.

Parameterizations for Ensemble Kalman Inversion

- Mathematics
- 2017

This work demonstrates how both geometric ideas and hierarchical ideas can be used to design effective parameterizations for a number of applied inverse problems arising in electrical impedance tomography, groundwater flow and source inversion.

On the Incorporation of Box-Constraints for Ensemble Kalman Inversion

- MathematicsFoundations of Data Science
- 2019

This work proposes a new variant of the ensemble Kalman inversion to include box constraints on the unknown parameters motivated by the theory of projected preconditioned gradient flows, and discusses a complete convergence analysis for linear forward problems.

Ensemble Kalman methods for inverse problems

- Mathematics
- 2012

It is demonstrated that the ensemble Kalman method for inverse problems provides a derivative-free optimization method with comparable accuracy to that achieved by traditional least-squares approaches, and that the accuracy is of the same order of magnitude as that achieve by the best approximation.

Ensemble Kalman inversion: mean-field limit and convergence analysis

- MathematicsStat. Comput.
- 2021

The continuous version of EKI, a coupled SDE system, is analyzed and it is shown that as the number of particles goes to infinity, the empirical measure of particles following SDE converges to the solution to a Fokker–Planck equation in Wasserstein 2-distance with an optimal rate, for both linear and weakly nonlinear case.

Kinetic methods for inverse problems

- MathematicsKinetic & Related Models
- 2019

The Ensemble Kalman Filter method can be used as an iterative numerical scheme for parameter identification ornonlinear filtering problems. We study the limit of infinitely large ensemble size and…

On numerical properties of the ensemble Kalman filter for data assimilation

- Environmental Science
- 2008

The Ensemble Kalman Filter: theoretical formulation and practical implementation

- Environmental Science
- 2003

A fairly extensive discussion is devoted to the use of time correlated model errors and the estimation of model bias, and an ensemble based optimal interpolation scheme is presented as a cost-effective approach which may serve as an alternative to the EnKF in some applications.

Tikhonov Regularization within Ensemble Kalman Inversion

- MathematicsSIAM J. Numer. Anal.
- 2020

This work demonstrates how further regularization can be imposed, incorporating prior information about the underlying unknown, and studies how to impose Tikhonov-like Sobolev penalties in the ensemble inversion context.