Finite element, least squares and domains decomposition methods for the numerical solution of nonlinear problems in fluid dynamics

2006 ◽  
pp. 1-114 ◽  
Author(s):  
R. Glowinski ◽  
J. Periaux
Keyword(s):  
Fluid Dynamics ◽  
Finite Element ◽  
Numerical Solution ◽  
Least Squares ◽  
Nonlinear Problems ◽  
Decomposition Methods

scholarly journals A Generalized Finite Element Method for Hydrodynamic Modeling of Short-channel Devices

VLSI Design ◽  
2001 ◽  
Vol 13 (1-4) ◽  
pp. 79-84 ◽  
Author(s):  
Min Shen ◽  
Ming-C. Cheng ◽  
J. J. Liou
Keyword(s):  
Fluid Dynamics ◽  
Finite Element Method ◽  
Finite Element ◽  
Least Squares ◽  
Semiconductor Device ◽  
General Purpose ◽  
Generalized Finite Element Method ◽  
Short Channel ◽  
Wide Range ◽  
Element Method

A finite element method based on the least-squares scheme is developed for hydrodynamic simulation of two-dimensional short-channel semiconductor devices. Although this general-purpose finite element method has been shown in fluid dynamics to be more universal to flow problems than other finite element approaches and has been applied in recent years to a wide range of problems in fluid dynamics, it is still unfamiliar to the semiconductor device community. Application of the developed hydrodynamic least squares finite element method (LSFEM) to simulation of a 2D MESFET with a deep-submicron gate has demonstrated its robustness and effectiveness for the hydrodynamic device simulation.

Sign in / Sign up

Export Citation Format

Share Document