Title :
A study of meshless local Petrov-Galerkin method for scattering by open cavities
Author_Institution :
Sch. of Math. & Syst. Sci., Beijing Univ. of Aeronaut. & Astronaut., Beijing, China
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;
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
DOI :
10.1109/ICCPS.2012.6384299
