A study of discretization error in the finite element approximation of wave solutions

Author

Lee, Robert ; Cangellaris, Andreas C.

Author_Institution

Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA

Volume

40

Issue

5

fYear

1992

fDate

5/1/1992 12:00:00 AM

Firstpage

542

Lastpage

549

Abstract

A dispersion analysis is used to study the errors caused by the spatial discretization of the finite-element method for the two-dimensional scalar Helmholtz equation. It is shown that the error can be determined analytically for a uniform mesh of infinite extent. Numerical results are presented to show the effects of several parameters on the error. These parameters are the nodal density, the electrical size of the mesh, the direction of propagation of the incident wave, the type of element, and the type of boundary condition

Keywords

electromagnetic wave propagation; error analysis; finite element analysis; boundary condition; discretization error; dispersion analysis; electrical size; electromagnetics; finite element approximation; finite-element method; incident wave; nodal density; propagation direction; spatial discretization; two-dimensional scalar Helmholtz equation; wave solutions; Boundary conditions; Cause effect analysis; Computer errors; Electromagnetic propagation; Equations; Finite difference methods; Finite element methods; Geometry; Polynomials; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.142629

Filename

142629