scholarly journals SYMMETRIC INVERSE-BASED MULTILEVEL ILU PRECONDITIONING FOR SOLVING DENSE COMPLEX NON-HERMITIAN SYSTEMS IN ELECTROMAGNETICS

2012 ◽  
Vol 128 ◽  
pp. 55-74 ◽  
Author(s):  
Bruno Carpentieri ◽  
Matthias Bollhöfer
Keyword(s):  
Ilu Preconditioning

scholarly journals A Study of Accelerated Adaptive Integral Method Based on Triangle Filling Strategy

2020 ◽  
Vol 38 (3) ◽  
pp. 501-506
Author(s):  
Mingxuan Zheng ◽  
Huiling Zhao ◽  
Zhonghui Zhao
Keyword(s):  
Integral Method ◽  
Large Time ◽  
Impedance Matrix ◽  
Lu Decomposition ◽  
Slow Convergence ◽  
Threshold Criterion ◽  
Simulation Results ◽  
Ilu Preconditioning ◽  
Double Threshold ◽  
Incomplete Lu Decomposition

In order to overcome the shortcomings of large time consuming in the near matrix filling and the slow convergence in iteration of adaptive integral method (AIM), the triangle filling strategy and the double-threshold criterion are combined to accelerate the near matrix filling speed in this paper. This method separates the near matrix filling procedure and the near correction during calculation. With the help of incomplete LU decomposition, the preconditioning matrix is constructed from the sparse near matrix before near correction, which could alleviate the ill-conditioned properties of the impedance matrix. Numerical simulation results show that, the triangle filling strategy with ILU preconditioning could improve the filling speed by 2 times and the iteration converges at most 20 times faster than traditional AIM without any accuracy reduction.

A simple ILU preconditioning coupled to Orthomin method

1996 ◽  
Vol 11 (1) ◽  
pp. 1-12
Author(s):  
Valipuram S. Manoranjan ◽  
Yafang Song
Keyword(s):  
Ilu Preconditioning ◽  
Orthomin Method

Comparison Criteria for Parallel Orderings in ILU Preconditioning

2005 ◽  
Vol 26 (4) ◽  
pp. 1234-1260 ◽  
Author(s):  
Takeshi Iwashita ◽  
Yuuichi Nakanishi ◽  
Masaaki Shimasaki
Keyword(s):  
Comparison Criteria ◽  
Ilu Preconditioning
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