An Efficient Preconditioner (LESP) for Hybrid Matrices Arising in RF MEMS Switch Analysis
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An Efficient Preconditioner (LESP) for Hybrid Matrices Arising in RF MEMS Switch AnalysisAbstract
The small dimensions of Radio Frequency Micro-ElectroMechanical Switches (RF MEMS) raise significant modeling challenges in terms of accuracy and solver efficiency. This paper introduces a practical RF MEMS switch analysis based on an extended finite element-boundary integral (EFE-BI) method with an iterative solver incorporating a new sparse-matrix preconditioner whose large eigenvalues are very close to those of the original matrix. This sparse preconditioner is key to successfully solving the ill-conditioned EFE-BI matrix. The smaller condition number and almost positive-definite eigenvalue spectrum after preconditioning leads to fast convergence. Specific RF MEMS simulations are presented to demonstrate the accuracy and effectiveness of the methodology and solution process.
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