一种用于有损耗慢波结构有限元本征分析的多波前块ILU 预处理

A Multifrontal Block ILU Preconditioner for the Finite-Element Eigenvalue Analysis of Lossy Slow-Wave Structures

摘要: 多波前块ILU（MFIBLU）预处理是一种用于处理有损耗行波管慢波结构三维有限元本征分析中产生的大型复数不对称线性广义本征问题的预处理技术。“改进的多波前法”和“新型不完全分解块算法”的引入，使得这种预处理技术更加高效。大量慢波结构的仿真实验，显示了这种新型预处理能够以很小的内存花销、精确、快速地获得慢波结构的高频参数。因此，此种预处理技术能够在降低了设计成本的情况下，使得慢波结构的设计更加高效，这对于设计出高效的行波管慢波结构具有重要意义。

Abstract: Multifrontal block incomplete LU preconditioner is an incomplete decomposition preconditioner technology for large complex unsymmetric linear generalized eigenvalue problems (GEPs). Where the GEPs are formed by the 3D finite-element eigenvalue analysis of traveling-wave tubes’ lossy slow-wave structures (SWSs). By utilizing “improved multifrontal method” and “new block algorithm for incomplete decomposition”, the multifrontal block incomplete LU preconditioner become more efficient. Simulation experiments shown that the high-frequency parameters of SWSs can be obtained quickly and with low memory requirement. This is very important for the modeling of high efficient SWSs.