Title :
Finite element modeling and multigrid preconditioner using adaptive triangular meshes
Author :
Zhu, Yu ; Kuo, An-Yu ; Cangellaris, Andreas C.
Author_Institution :
Cadence Design Syst. Inc., San Jose, CA, USA
fDate :
6/1/2006 12:00:00 AM
Abstract :
The letter describes a finite element method (FEM) using adaptive triangular meshes for the modeling of microwave devices. A robust preconditioning technique is provided for the fast solution of the resultant FEM matrix equations. The proposed preconditioner is based on a multigrid scheme for the vector-scalar potential FE formulation of the electromagnetic problem. Numerical experiments demonstrate its superior numerical convergence.
Keywords :
mesh generation; microwave devices; FEM matrix equations; adaptive triangular meshes; electromagnetic problem; finite element method; microwave devices modeling; multigrid method; multigrid preconditioner; multigrid scheme; vector-scalar potential formulation; Application software; Convergence of numerical methods; Equations; Finite element methods; Mesh generation; Microwave devices; Microwave theory and techniques; Multigrid methods; Robustness; Transmission line matrix methods; Adaptive triangular mesh; finite element method (FEM); multigrid method; nested grid; vector and scalar potential formulation;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2006.875618