纳米等离子体非局域Drude模型的数学和数值分析
Mathematical and numerical analysis of a nonlocal Drude model in nanoplasmonics
摘要：
在本文中，我们考虑频域麦克斯韦方程组耦合到一个非局域德鲁德模型，它描述了在金属纳米结构的非局域光学响应。我们证明了耦合方程组弱解的存在唯一性。本文提出了一种基于Raviart-Thomas和Nédélec单元的Galerkin有限元法，并给出了相应的误差估计。这是第一个工作的数学和数值分析的这个模型。数值例子验证了我们的理论分析。
英文摘要：
In this paper, we consider the frequency-domain Maxwell's equations coupled to a nonlocal Drude model which describes the nonlocal optical response in metallic nanostructures. We prove the existence and uniqueness of weak solutions to the coupled equations. A Galerkin finite element method based on the Raviart--Thomas and Nédélec elements is proposed to solve the equations and the associated error estimates are given. This is the first work on the mathematical and numerical analysis of this model. Numerical examples are presented to verify our theoretical analysis.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
