A study of meshless local Petrov-Galerkin method for scattering by open cavities

Author

Meiling Zhao

Author_Institution

Sch. of Math. & Syst. Sci., Beijing Univ. of Aeronaut. & Astronaut., Beijing, China

fYear

2012

fDate

19-21 Oct. 2012

Firstpage

375

Lastpage

379

Abstract

The scattering of the open cavity has significant application in computation mathematics and electromagnetism. The electromagnetic scattering by the cavity is governed by the Helmholtz equation along with Sommerfeld´s radiation conditions imposed at infinity. Instead of traditional numerical method, meshless method has avoided reliance on meshes. Based on local weak form and the moving least square (MLS) approximation, a truly meshless method, the meshless local Petrov-Galerkin (MLPG) method, is applied to solve the scattering problem in the paper. Numerical experiments demonstrate the capability of MLPG method for the scattering problem.

Keywords

Galerkin method; Helmholtz equations; electromagnetic wave scattering; least mean squares methods; Helmholtz equation; MLPG method; MLS approximation; Sommerfeld radiation condition; electromagnetic scattering; electromagnetism; local weak form; meshless local Petrov-Galerkin method; moving least square; open cavity scattering; Apertures; Boundary conditions; Cavity resonators; Electromagnetic scattering; Equations; Shape; MLPG method; electromagnetic scattering; open cavity; transparent boundary condition;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Problem-Solving (ICCP), 2012 International Conference on

Conference_Location

Leshan

Print_ISBN

978-1-4673-1696-5

Electronic_ISBN

978-1-4673-1695-8

Type

conf

DOI

10.1109/ICCPS.2012.6384299

Filename

6384299