Multi-threaded Adaptive Multigrid Finite Elenent Method for Package Modeling

Author

Zhu, Yu ; Mao, Jeffrey ; Kowalski, Marc E. ; Kuo, An-Yu

Author_Institution

Optimal Corp., San Jose, CA

fYear

2006

Firstpage

307

Lastpage

310

Abstract

The paper describes a multi-threaded multigrid finite element method using adaptive prism meshes for the package modeling. A robust preconditioning technique is provided for the fast solution of the resultant KEM matrix equations. The proposed preconditions is based on a multigrid scheme for the vector-scalar potential finite element formulation of the electromagnetic problem. Numerical experiments demonstrate its superior numerical convergence and performance

Keywords

differential equations; finite element analysis; integrated circuit modelling; integrated circuit packaging; KEM matrix equations; adaptive prism mesh; electromagnetic problem; multithreaded adaptive multigrid finite element method; nested grid; package modeling; robust preconditioning technique; scalar potential formulation; vector potential formulation; vector-scalar potential finite element formulation; Computational efficiency; Convergence of numerical methods; Electronics packaging; Equations; Finite element methods; Mesh generation; Multigrid methods; Robustness; Sparse matrices; Transmission line matrix methods; Multigrid method; adaptive prism mesh; finite element method; multithread; nested grid; vector and scalar potential formulation;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Performance of Electronic Packaging, 2006 IEEE

Conference_Location

Scottsdale, AZ

Print_ISBN

1-4244-0668-4

Type

conf

DOI

10.1109/EPEP.2006.321162

Filename

4115416