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06/14/2023
Bayesian inversion for Electrical Impedance Tomography by sparse interpolation
We study the Electrical Impedance Tomography Bayesian inverse problem fo...
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02/01/2023
Multilevel Markov Chain Monte Carlo for Bayesian Elliptic Inverse Problems with Besov Random Tree Priors
We propose a multilevel Monte Carlo-FEM algorithm to solve elliptic Baye...
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01/13/2022
Optimal finite elements for ergodic stochastic two-scale elliptic equations
We develop an essentially optimal finite element approach for solving er...
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11/22/2021
Bayesian Inversion of Log-normal Eikonal Equations
We study the Bayesian inverse problem for inferring the log-normal slown...
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10/15/2019
Homogenization of a multiscale multi-continuum system
We study homogenization of a locally periodic two-scale dual-continuum s...
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09/10/2019
Multiscale simulations for upscaled multi-continuum flows
We consider in this paper a challenging problem of simulating fluid flow...
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06/11/2019
