Title :
Deflation techniques for computational electromagnetism, Part II: Numerical applications
Author :
Igarashi, Hajime ; Watanabe, Kota
Author_Institution :
Grad. Sch. of Inf. Sci. & Technol., Hokkaido Univ., Sapporo, Japan
Abstract :
The finite element (FE) analysis of electromagnetic fields suffers from slow convergence of linear solvers when there are flat or distorted elements. Similar problems also happen when with layered structures such as laminated steel plates. These problems are attributed to poor matrix conditioning. This paper shows the deflation technique, which replaces small eigenvalues of the FE matrix with zeros, can overcome these problems.
Keywords :
computational electromagnetics; electromagnetic fields; finite element analysis; matrix algebra; computational electromagnetism; deflation technique; electromagnetic field; finite element analysis; linear solver; matrix conditioning; Convergence; Eigenvalues and eigenfunctions; Electromagnetic analysis; Electromagnetic fields; Finite element methods; Gradient methods; Information science; Matrix decomposition; Steel; Symmetric matrices;
Conference_Titel :
Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4244-7059-4
DOI :
10.1109/CEFC.2010.5481544
