Nanotech 2001 Vol. 1
Nanotech 2001 Vol. 1
Technical Proceedings of the 2001 International Conference on Modeling and Simulation of Microsystems

Compact Modeling and Model Order Reduction Chapter 3

Using Scalar Algebraic Multigrid Solvers for Efficient 3-D Stress Analysis of Microfabricated Structures

Authors: S. Mijalkovic

Affilation: Delft University of Technology, LN

Pages: 35 - 38

Keywords: algebraic multigrid, Krylov iterative solvers, stress analysis, microfabrication

A methodology to improve the performance of iterative solvers in 3-D stress analysis using scalar algebraic multigrid (AMG) solvers has been presented. The principle idea is to split the global system of coupled stress governing discrete equations into a sequence of local matrix problems suitable for application of scalar AMG solvers. The proposed methodology has been implemented as a preconditioner for Krylov iterative methods. The effectiveness of the global solving procedure has been tested practically in 3D stress analysis of microfabricated structures. The numerical experiements have shown nearly opticam and stable convergence properties of the resulting iterative solvers in applications related to microfabrication technology.

ISBN: 0-9708275-0-4
Pages: 638