A non-positive-definite multifrontal algorithm for finite element analysis

Author

Tian, J. ; Lv, Z.Q. ; Shi, X.W. ; Xu, L. ; Wei, F.

Author_Institution

Nat. Key Lab. of Antenna, Xidian Univ., Xi´´an, China

fYear

2009

fDate

16-20 Sept. 2009

Firstpage

337

Lastpage

340

Abstract

This paper presents the Expanded Cholesky Method (ECM) for multifrontal (MF) algorithm to solute sparse symmetric non-positive-definite finite element equations. Optimization methods for reducing the extra demand storage space of fill-ins of MF algorithm have been carefully researched. Results show that the non-positive-definite pattern MF algorithm can be used to calculate a class of non-positive-definite electromagnetic problems.

Keywords

computational electromagnetics; finite element analysis; matrix algebra; expanded Cholesky method; finite element analysis; non-positive-definite multifrontal algorithm; optimization methods; sparse symmetric non-positive-definite finite element equations; Algorithm design and analysis; EMP radiation effects; Finite difference methods; Finite element methods; Matrix decomposition; Maxwell equations; Polynomials; Sparse matrices; Time domain analysis; Transmission line matrix methods; Expanded Cholesky Method; finite element; multifrontal algorithm; non-positive-defmite pattern;

fLanguage

English

Publisher

ieee

Conference_Titel

Environmental Electromagnetics, 2009. CEEM 2009. 5th Asia-Pacific Conference on

Conference_Location

Xian

Print_ISBN

978-1-4244-4344-4

Type

conf

DOI

10.1109/CEEM.2009.5303534

Filename

5303534