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07/20/2023
A Convergent Finite Element Scheme for the Q-Tensor Model of Liquid Crystals Subjected to an Electric Field
We study the Landau-de Gennes Q-tensor model of liquid crystals subjecte...
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02/21/2023
On the Convergence of an IEQ-based first-order Numerical Scheme for the Beris-Edwards System
We present a convergence analysis of an unconditionally energy-stable fi...
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09/22/2022
A new reduced order model of linear parabolic PDEs
How to build an accurate reduced order model (ROM) for multidimensional ...
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07/20/2021
Well-posedness of Bayesian inverse problems for hyperbolic conservation laws
We study the well-posedness of the Bayesian inverse problem for scalar h...
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07/15/2021
On the well-posedness of Bayesian inversion for PDEs with ill-posed forward problems
We study the well-posedness of Bayesian inverse problems for PDEs, for w...
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04/21/2021
A convergent numerical scheme for a model of liquid crystal dynamics subjected to an electric field
We present a convergent and constraint-preserving numerical discretizati...
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12/01/2020