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09/06/2023
A High-Order Ultra-Weak Variational Formulation for Electromagnetic Waves Utilizing Curved Elements
The Ultra Weak Variational Formulation (UWVF) is a special Trefftz disco...
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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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10/14/2021
The Time Domain Linear Sampling Method for Determining the Shape of a Scatterer using Electromagnetic Waves
The time domain linear sampling method (TD-LSM) solves inverse scatterin...
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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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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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10/22/2019