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04/11/2022
A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem
In this work, we consider a novel inverse problem in mean-field games (M...
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10/26/2021
Continuous data assimilation for two-phase flow: analysis and simulations
We propose, analyze, and test a novel continuous data assimilation two-p...
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10/21/2020
A Direct Sampling Method for the Inversion of the Radon Transform
We propose a novel direct sampling method (DSM) for the effective and st...
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05/29/2020
Recovery of a Time-Dependent Bottom Topography Function from the Shallow Water Equations via an Adjoint Approach
We develop an adjoint approach for recovering the topographical function...
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05/12/2020
A Direct Sampling Method for Simultaneously Recovering Inhomogeneous Inclusions of Different Nature
In this work, we investigate a class of elliptic inverse problems and ai...
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04/18/2020
On the zeroth law of turbulence for the stochastically forced Navier-Stokes equations
We consider three-dimensional stochastically forced Navier-Stokes equati...
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09/29/2018