Spectral approximation of time-harmonic Maxwell equations in three-dimensional exterior domains

• المؤلفون الرئيسيون: Shen, Jie, Wang, Li-Lian, Ma, Lina
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2019
• الموضوعات: Maxwell Equations; Exterior Problems; DRNTU::Science::Mathematics
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/85427; http://hdl.handle.net/10220/48223; http://www.global-sci.org.ezlibproxy1.ntu.edu.sg/intro/article_detail/ijnam/494.html
• المؤسسة: Nanyang Technological University

We develop in this paper an efficient and robust spectral-Galerkin method for solving the three-dimensional time-harmonic Maxwell equations in exterior domains. We first reduce the problem to a bounded domain by using the capacity operator which characterizes the transparent boundary condition (TBC). Then, we adopt the transformed field expansion (TFE) approach to reduce the problem to a sequence of Maxwell equations in a spherical shell. Finally, we develop an efficient spectral algorithm by using Legendre approximation in the radial direction and vector spherical harmonic expansion in the tangential directions.