三维矢量波动方程中baylis - turkel边界算子的有限元实现

O. Ramahi
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引用次数: 2

摘要

向量亥姆霍兹方程的有限元解比标量亥姆霍兹方程的有限元解更困难。较早建立的矢量波动方程吸收边界条件是复杂的。在这项工作中,我们开发了一系列简单的算子,用于三维矢量波动方程的有限元解。与之前采用的方法不同,即通过操纵向量场来开发算子,从而获得涉及向量场本身的边界条件,我们开发了可以应用于向量场的标量场分量的算子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Finite element implementation of Bayliss-Turkel boundary operators in the three-dimensional vector wave equation
The finite element solution of the vector Helmholtz equation is more difficult than that of the scalar one. Absorbing boundary conditions (ABCs) that were developed earlier for the vector wave equation were complex. In this work we develop a series of simple operators for the finite element solution of the three-dimensional vector wave equation. Unlike the methodologies adopted earlier namely that of developing operators by manipulating the vector field and thus obtaining boundary conditions that involve the vector field itself we develop operators that can be applied on the scalar field components of the vector field.
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