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08/29/2023
An Incremental SVD Method for Non-Fickian Flows in Porous Media: Addressing Storage and Computational Challenges
It is well known that the numerical solution of the Non-Fickian flows at...
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06/09/2023
A fast reduced order method for linear parabolic inverse source problems
In this paper, we propose a novel, computationally efficient reduced ord...
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11/14/2022
The open question of time fractional PDEs: needs to store all data
It is well known that the nunerical solution of time fractional PDEs at ...
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09/27/2022
A new reduced order model of imcompressible Stokes equations
In this paper we propose a new reduced order model (ROM) to the imcompre...
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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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04/11/2022
An answer to an open question in the incremental SVD
Incremental singular value decomposition (SVD) was proposed by Brand to ...
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03/09/2022
A New Global Divergence Free and Pressure-Robust HDG Method for Tangential Boundary Control of Stokes Equations
In [ESAIM: M2AN, 54(2020), 2229-2264], we proposed an HDG method to appr...
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10/15/2021
Sharp L^∞ estimates of HDG methods for Poisson equation II: 3D
In [SIAM J. Numer. Anal., 59 (2), 720-745], we proved quasi-optimal L^∞ ...
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07/09/2021
Target signatures for thin surfaces
We investigate an inverse scattering problem for a thin inhomogeneous sc...
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09/01/2020
Superconvergent Interpolatory HDG methods for reaction diffusion equations II: HHO-inspired methods
In J. Sci. Comput., 81: 2188-2212, 2019, we considered a superconvergent...
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05/15/2020
L^∞ norm error estimates for HDG methods applied to the Poisson equation with an application to the Dirichlet boundary control problem
We prove quasi-optimal L^∞ norm error estimates (up to logarithmic facto...
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02/14/2020
HDG and CG methods for the Indefinite Time-Harmonic Maxwell's Equations under minimal regularity
We propose to use a hybridizable discontinuous Galerkin (HDG) method com...
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10/23/2019
A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs
We devised a first order time stepping ensemble hybridizable discontinuo...
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10/22/2019