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
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;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1999. IEEE
Conference_Location :
Orlando, FL, USA
Print_ISBN :
0-7803-5639-x
DOI :
10.1109/APS.1999.789344
