Boundary conditions and formulations for finite element electromagnetic modeling
Abstract
For the electromagnetic field simulation for interconnects in deep sub-micron integrated circuits, the finite element method (FEM) is a very useful tool. The variational formulation and boundary conditions are two of the most important factors determining the accuracy and efficiency of the FEM. In this thesis, a new variational formulation for the propagation constant of a lossy, inhomogeneous, anisotropic and nonreciprocal, waveguide is proposed. Additionally, an exact hybrid numerical boundary condition (HNBC) and its approximating boundary conditions are also proposed to provide a boundary condition whose efficiency is better than the integral equation boundary condition (IEBC) and the accuracy better than the local boundary condition. In addition, the new concept of using the residual error of the discretized form of the IEBC is proposed to detect the interior resonance problems of the commonly used IEBC. The extra computational effort required to calculate the residual error is insignificant.
Degree
Ph.D.
Advisors
Webb, Purdue University.
Subject Area
Electrical engineering
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