A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems
DOI10.1088/0266-5611/32/2/025002zbMath1334.65110arXiv1505.03876OpenAlexW3104341454WikidataQ59766736 ScholiaQ59766736MaRDI QIDQ2794608
Publication date: 10 March 2016
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.03876
inverse problemiterative regularizationnumerical experimentdiscrepancy principleelectrical impedance tomographyensemble methodsDarcy flow modelLevenberg-Marquardt schemeBayesian interferenceconcvergenceKalman method
Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Inverse problems in optimal control (49N45)
Related Items (45)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the choice of the Tikhonov regularization parameter and the discretization level: a discrepancy-based strategy
- Besov priors for Bayesian inverse problems
- Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography
- Iterative regularization for ensemble data assimilation in reservoir models
- Iterative regularization methods for nonlinear ill-posed problems
- The representer method for state and parameter estimation in single-phase Darcy flow
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Evaluation of Gaussian approximations for data assimilation in reservoir models
- The regularizing Levenberg-Marquardt scheme for history matching of petroleum reservoirs
- Investigation of the sampling performance of ensemble-based methods with a simple reservoir model
- Electrical impedance tomography using level set representation and total variational regularization
- Recent progress on reservoir history matching: a review
- Ensemble Kalman methods for inverse problems
- Inverse problems: A Bayesian perspective
- Stochastic Algorithms for Inverse Problems Involving PDEs and many Measurements
- Level-set techniques for facies identification in reservoir modeling
- A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
- A level-set approach for inverse problems involving obstacles Fadil SANTOSA
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
- A survey on level set methods for inverse problems and optimal design
- Data Assimilation
- An introduction to the mathematical theory of inverse problems
This page was built for publication: A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems