Title :
Comparison of mass lumping techniques for solving the 3D Maxwell´s equations in the time domain
Author :
Benhassine, Salah ; Carpes, Walter P., Jr. ; Pichon, Lionel
Author_Institution :
Lab. de Genie Electr., Univ. de Paris-Sud, Orsay, France
fDate :
7/1/2000 12:00:00 AM
Abstract :
This paper presents a comparison of mass lumping techniques for the time-domain solution of the 3D Maxwell´s equations through edge elements. These techniques allow obtaining a fully explicit time integration procedure. We present two different techniques: the so-called classical method and the Lacoste method as well as a modified scheme to avoid numerical problems due to the shape of mesh elements. Numerical results are presented and compared with those obtained with a consistent method (without lumping)
Keywords :
Maxwell equations; finite element analysis; time-domain analysis; 3D Maxwell equations; Lacoste method; electromagnetic wave propagation; finite element method; mass lumping; numerical stability; time domain analysis; Boundary conditions; Computational efficiency; Differential equations; Finite difference methods; Finite element methods; Geometry; Maxwell equations; Shape; Solid modeling; Time domain analysis;
Journal_Title :
Magnetics, IEEE Transactions on