DocumentCode
3114447
Title
Condition numbers for various FEM matrices
Author
Andersen, L.S. ; Volakis, J.L.
Author_Institution
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Volume
4
fYear
1999
fDate
11-16 July 1999
Firstpage
2614
Abstract
A study is presented that examines thoroughly the inter-relationships between condition numbers of finite element method matrices based on various interpolatory and hierarchical mixed-order tangential vector finite elements (TVFEs). The validity of the generally accepted premise that interpolatory higher order TVFEs lead to better conditioned matrices than hierarchical higher TVFEs is found to be questionable.
Keywords
finite element analysis; interpolation; matrix algebra; rectangular waveguides; waveguide theory; FEM matrices; condition numbers; conditioned matrices; finite element method; hierarchical higher TVFE; hierarchical mixed-order tangential vector finite elements; interpolatory higher order TVFE; rectangular waveguide; selective field expansion; Computer science; Electromagnetic fields; Equations; Finite element methods; Iterative methods; Laboratories; Polynomials; Tellurium; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Antennas and Propagation Society International Symposium, 1999. IEEE
Conference_Location
Orlando, FL, USA
Print_ISBN
0-7803-5639-x
Type
conf
DOI
10.1109/APS.1999.789344
Filename
789344
Link To Document