联合积分方程中的对称稀疏近似逆预处理器

Symmetric Sparse Approximate Inverse Preconditioners for Combined Field Integral Equation

  • 摘要: 提出一种针对联合积分方程(CFIE)的对称稀疏近似逆(S-SAI)预处理技术. 将联合积分方程中的非对称矩阵改造成对称矩阵,使用Cholesky分解构造出联合积分方程的对称SAI(S-SAI)预处理器. 数值实验结果表明,S-SAI预处理器的收敛性能与非对称SAI(A-SAI)相似,但是其构造时间比A-SAI的快32倍.

     

    Abstract: A symmetric sparse approximate inverse (S-SAI) preconditioners for the combined field integral equation (CFIE) is presented in this paper. The asymmetric matrix arising from the CFIE is transformed into a symmetric one, which is employed for efficiently constructing preconditioner by the Cholesky factorization. Numerical experiments show that this S-SAI preconditioner has similar convergent behavior to the previous asymmetric sparse approximate inverse (A-SAI) one, but the construction time of it can be cut down by a factor of at least 32 than that of A-SAI.

     

/

返回文章
返回
Baidu
map