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首页> 外文期刊>IEEE Transactions on Antennas and Propagation >A space-time discretization criterion for a stable time-marching solution of the electric field integral equation
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A space-time discretization criterion for a stable time-marching solution of the electric field integral equation

机译:电场积分方程稳定时间行进解的时空离散准则

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Numerical techniques based on a time-domain recursive solution of the electric field integral equation (EFIE) may exhibit instability phenomena induced by the joint space-time discretization. The above problem is addressed with specific reference to the evaluation of electromagnetic scattering from perfectly conducting bodies of arbitrary shape. We analyze a particular formulation of the method of moments which relies on a triangular-patch geometrical model of the exterior surface of the scattering body and operates according to a "marching-on-in-time" scheme, whereby the surface current distribution at a given time step is recursively evaluated as a function of the current distribution at previous steps. A heuristic stability condition is devised which allows us to define a proper time step, as well as a geometrical discretization criterion, ensuring convergence of the numerical procedure and, therefore, eliminating insurgence of late-time oscillations. The stability condition is discussed and validated by means of a few working examples.
机译:基于电场积分方程(EFIE)的时域递归解的数值技术可能会出现由联合时空离散化引起的不稳定性现象。上面的问题是通过参考评估任意形状的完美导体的电磁散射来解决的。我们分析了矩量法的一种特殊公式,该矩量法依赖于散射体外表面的三角形补片几何模型,并根据“按时进行”方案进行操作,从而使表面电流在给定时间步长将根据先前步骤的当前分布进行递归评估。设计了启发式稳定性条件,该条件使我们能够定义适当的时间步长以及几何离散准则,从而确保数值过程的收敛性,从而消除了后期振荡的发生。通过几个工作实例对稳定性条件进行了讨论和验证。

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