Explicit approximate inverse preconditioning techniques

2002 ◽  
Vol 9 (4) ◽  
pp. 371-402 ◽  
Author(s):  
G. A. Gravvanis
Keyword(s):  
Approximate Inverse ◽  
Preconditioning Techniques

Preconditioned Symmetric Linear BCG Method for Solving FEM Electromagnetism Problems

2012 ◽  
Vol 214 ◽  
pp. 610-614 ◽  
Author(s):  
Yue Hui Li
Keyword(s):  
Three Dimensional ◽  
Fem Analysis ◽  
Approximate Inverse ◽  
Preconditioning Techniques ◽  
Electromagnetic Problems ◽  
Sparse Approximate Inverse ◽  
Edge Based ◽  
Large Linear Systems ◽  
Simulation Time ◽  
Operator Scheme

A new preconditioning technique for solving large linear systems arising from edge-based finite element method (FEM) analysis of three-dimensional (3-D) electromagnetic problems is presented. This method is achieved by applying a shifted-Laplace operator scheme and sparse approximate inverse to symmetric linear BCG (LBCG). The main purpose is to generate a more robust and efficient preconditioner. Numerical results on several electromagnetic problems show that, by comparing with other conventional preconditioning techniques, this technique is more efficient and robust, and can greatly reduce the simulation time.

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