Multilevel methods for 𝑃₁ nonconforming finite elements and discontinuous coefficients in three dimensions

1994 ◽  
pp. 119-124 ◽  
Author(s):  
Marcus Sarkis
Keyword(s):  
Finite Elements ◽  
Discontinuous Coefficients ◽  
Multilevel Methods ◽  
Three Dimensions ◽  
Nonconforming Finite Elements

Multilevel methods for mixed finite elements in three dimensions

1999 ◽  
Vol 82 (2) ◽  
pp. 253-279 ◽  
Author(s):  
Ralf Hiptmair ◽  
Ronald H.W. Hoppe
Keyword(s):  
Finite Elements ◽  
Mixed Finite Elements ◽  
Multilevel Methods ◽  
Three Dimensions

Analysis of Dynamic Response for Piezoelectric Vibration Converter by Finite Element Simulation

2007 ◽  
Vol 336-338 ◽  
pp. 335-337
Author(s):  
Xiang Cheng Chu ◽  
Ren Bo Yan ◽  
Wen Gong ◽  
Long Tu Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Dynamic Response ◽  
Finite Element Modeling ◽  
Three Dimensions ◽  
Dynamic Motion ◽  
Element Simulation ◽  
Piezoelectric Coupling ◽  
Piezoelectric Vibration

The dynamic behavior of a vibration converter of an ultrasonic motor is described using finite element method. Tetrahedral finite elements with three dimensions are formulated with the effects of piezoelectric coupling. And the solution of the coupled electroelastic equations of dynamic motion is presented. The simulated response of the vibration converter is calculated, and shows excellent consistency with experimental results, which proved that finite element modeling is a good approach to optimize piezoelectric apparatus design. A gradual optimized method is employed to ascertain the most compatible structure.

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