Title :
Integral equation discontinuous Galerkin methods for time harmonic electromagnetic wave problems
Author :
Zhen Peng ; Mackie-Mason, Brian
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of New Mexico, Albuquerque, NM, USA
Abstract :
This work investigates an adaptive discontinuous Galerkin boundary element method for the integral equation based solution of time harmonic Maxwell´s Equations. It permits the use of non-conformal surface discretizations, allow mixing different types of elements, and dramatically facilitate the mesh generation for high-definition objects. The choice of interior penalty stabilization parameter, quasi-optimal convergence in the formulation and condition number of the matrices are investigated in this work, and validated by numerical experiments.
Keywords :
Galerkin method; Maxwell equations; boundary integral equations; boundary-elements methods; computational electromagnetics; electromagnetic wave propagation; matrix algebra; mesh generation; adaptive discontinuous Galerkin boundary element method; high-definition objects; integral equation discontinuous Galerkin methods; interior penalty stabilization parameter; mesh generation; nonconformal surface discretizations; quasioptimal convergence; time harmonic Maxwell equations; time harmonic electromagnetic wave problems; Accuracy; Approximation methods; Convergence; Integral equations; Method of moments; Optical surface waves; Surface waves; Boundary element method; Maxwell´s Equations; discontinuous Galerkin method; integral equation method;
Conference_Titel :
Applied Computational Electromagnetics (ACES), 2015 31st International Review of Progress in
Conference_Location :
Williamsburg, VA
