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Developing and analyzing some new finite element methods for a non-local hydrodynamic Drude model

delete2025-12-01
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PRE
AI
Y
Yunqing Huang
J
Jichun Li *
刘鑫 cover
刘鑫 (Xin Liu)
DOI:10.1007/s10444-025-10272-6delete
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Abstract

Abstract

En 中文
In this paper, we are interested in studying the interaction of light with metallic nanostructures modeled by a non-local hydrodynamic Drude model, which consists of a system of partial differential equations coupled to Maxwell's equations. Solving this model is interesting but challenging, since it needs not only the curl conforming basis function as for the standard Maxwell's equations, but also the divergence conforming basis function. Several novel finite element schemes are proposed and analyzed. Numerical results are presented to justify our theoretical analysis. This is the first paper on solving this time-domain non-local hydrodynamic Drude model with only the electric field and polarization current as unknowns.
Keywords:
Maxwell's equations
Finite element method
Nonlocal Drude model
78-10

Journal

A
Advances in Computational Mathematics
IF:
2.1
Papers:
56
Citations:
0

Organization

X
Xiangtan University
Scholars:
1.4K
Papers: 532
Citations: 1.1W
N
nevada system of higher education (nshe)
Scholars:
1.4W
Papers: 1.3W
Citations: 30