论文标题
用于开放腔散射问题的自适应有限元DTN方法
An adaptive finite element DtN method for the open cavity scattering problems
论文作者
论文摘要
考虑通过嵌入完美的电气导电无限接地平面中的开放腔散射的电磁平面波的散射。本文涉及横向磁性和横向电动极化中开放腔散射问题的数值解。基于每个极化的Dirichlet到Neumann（DTN）映射，施加了透明的边界条件，以将散射问题等效地减少到一个有界域中的边界值问题中。提出了基于后验错误估计的基于自适应有限元DTN方法。该估计值包括有限元近似误差和DTN操作员的截断误差，该误差显示出相对于截断参数的指数衰减。对两种极化都提出了数值实验，以说明自适应方法的竞争行为。
Consider the scattering of a time-harmonic electromagnetic plane wave by an open cavity which is embedded in a perfectly electrically conducting infinite ground plane. This paper concerns the numerical solutions of the open cavity scattering problems in both transverse magnetic and transverse electric polarizations. Based on the Dirichlet-to-Neumann (DtN) map for each polarization, a transparent boundary condition is imposed to reduce the scattering problem equivalently into a boundary value problem in a bounded domain. An a posteriori error estimate based adaptive finite element DtN method is proposed. The estimate consists of the finite element approximation error and the truncation error of the DtN operator, which is shown to decay exponentially with respect to the truncation parameter. Numerical experiments are presented for both polarizations to illustrate the competitive behavior of the adaptive method.
