Title :
Implicit Yee-like scheme on tetrahedral mesh
Author :
Keränen, Janne ; Kangas, Jari ; Ahola, Antti ; Kettunen, Lauri
Author_Institution :
Inst. of Electromagn., Tampere Univ. of Technol., Finland
fDate :
3/1/2002 12:00:00 AM
Abstract :
If constitutive laws can be expressed with diagonal matrices in wave propagation problems, Yee-like scheme will be explicit. As finite-element kinds of meshes provide flexibility in modeling complex geometries, they are preferred to regular grids in some cases. However, finding such diagonal matrices for an arbitrary finite-element mesh is not trivial. As a consequence we consider a compromise: find a partially diagonalized matrix to express constitutive laws, and thus, develop an implicit method on tetrahedral mesh
Keywords :
electromagnetic wave propagation; matrix algebra; mesh generation; complex geometries; constitutive laws; diagonal matrices; finite-element kinds; implicit Yee-like scheme; partially diagonalized matrix; tetrahedral mesh; wave propagation problems; Finite difference methods; Finite element methods; Geometry; Helium; Linear systems; Magnetic flux; Solid modeling; Sparse matrices; Symmetric matrices; Time domain analysis;
Journal_Title :
Magnetics, IEEE Transactions on
