Novel 3D orthogonal basis functions for the vector wave equation solution

Author

Goncalves, M.S. ; Hernandez-Figueroa, H.E. ; Bordonalli, A.C.

Author_Institution

Univ. of Campinas, Campinas

fYear

2006

fDate

3-6 Sept. 2006

Firstpage

295

Lastpage

299

Abstract

New three-dimension orthogonal basis functions for finite element solution of the vectorial wave equation are presented. These functions, based on the Whitney edge elements, maintain the same characteristics as those of conventional basis functions with the advantage of naturally generating diagonal matrices during calculation. This approach completely eliminates the necessity of solving a linear system of equations at each time step, as it is required by conventional numerical methods.

Keywords

finite element analysis; linear systems; matrix algebra; wave equations; 3D orthogonal basis function; Whitney edge element; conventional basis function; conventional numerical method; diagonal matrix; finite element solution; linear system; vector wave equation solution; Analytical models; Character generation; Finite difference methods; Finite element methods; Linear systems; Matrix converters; Optical computing; Partial differential equations; Time domain analysis; Vectors; 3D analysis; Numerical simulation; finite elements; time-domain analysis; waveguides;

fLanguage

English

Publisher

ieee

Conference_Titel

Telecommunications Symposium, 2006 International

Conference_Location

Fortaleza, Ceara

Print_ISBN

978-85-89748-04-9

Electronic_ISBN

978-85-89748-04-9

Type

conf

DOI

10.1109/ITS.2006.4433287

Filename

4433287