论文标题
多变 - kramer--爆炸和普遍的阻抗传播条件，用于电磁中的薄层问题，并应用于生物细胞
Wentzel--Kramers--Brillouin Expansions and Generalized Impedance Transmission Conditions for Thin-Layer Problems in Electromagnetism with Application to Biological Cells
论文作者
论文摘要
在这项工作中，我们为电磁场的电磁场解决方案提供了一个WKB膨胀，该解决方案设置在具有薄层的域中。作为该扩展的副产品，我们获得了具有广义阻抗透射条件的新的二阶渐近模型，这些模型结果取决于薄层包围的亚域边界的平均曲率。我们表明，这些模型可以通过开发混合的变分制配方轻松地集成到有限元方法中。这项工作的一种应用是涉及生物细胞中电磁场的计算。
In this work we derive a WKB expansion for the electromagnetic fields solution of the time-harmonic Maxwell equations set in a domain with a thin layer. As a by-product of this expansion we obtain new second order asymptotic models with generalized impedance transmission conditions that turn out to depend on the mean curvature of the boundary of the subdomain surrounded by the thin layer. We show that these models can be easily integrated in finite element methods by developing mixed variational formulations. One application of this work concerns the computation of the electromagnetic field in biological cells.
