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math.NA2026
A Hybridizable Discontinuous Galerkin Method for Time-Modulated Drude--Lorentz Media
Jeonghun J. Lee
We formulate and analyze a hybridizable discontinuous Galerkin (HDG) method for Maxwell's equations coupled to four time-modulated Drude--Lorentz models: modulated in-coupling, mod…
math.NA2026
Fully mixed finite element methods for the coupling of viscoelasticity and reaction-diffusion models
Alonso J. Bustos, Jeonghun J. Lee, Ricardo Ruiz-Baier
We propose and analyse a fully mixed finite element method for a two-way coupled mechanochemical model of calcium signalling in viscoelastic tissue. The mechanical response follows…
math.OC2026
Numerical approximation of distributed optimal control problems governed by linear thermo-poroelasticity
Jeonghun J. Lee
In this paper, we propose and analyze a novel three-field symmetric formulation for optimal control problems governed by linear thermo-poroelasticity. The state variables are the s…