The local superconvergence of the linear finite element method for the poisson problem

2013 ◽  
Vol 30 (3) ◽  
pp. 930-946 ◽  
Author(s):  
Wen-ming He ◽  
Jun-Zhi Cui ◽  
Qi-ding Zhu ◽  
Zhong-liang Wen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Linear Finite Element ◽  
Poisson Problem ◽  
Local Superconvergence ◽  
Element Method

Basic Study on Grasping of Soft Object by Finite Element Method Considering Gravity

2006 ◽  
Vol 18 (4) ◽  
pp. 426-432
Author(s):  
Tetsuya Yokoyama ◽  
◽  
Hideki Tanahashi ◽  
Haruhisa Kawasaki ◽  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Real Time ◽  
Virtual Space ◽  
Basic Study ◽  
Linear Finite Element ◽  
Soft Object ◽  
Element Method

We proposed a method that enables to deform a soft object using a linear Finite Element Method (FEM) in real-time. In the proposed technique, since the calculation amount is reduced to <I>O</I> (<I>n</I>) (<I>n</I>: number of nodes), grasping is enabled in virtual space. In this paper, we studied grasping of a soft object taking gravity into consideration. Some simulations using a stiffness equation containing gravity demonstrated the validity of our proposal.

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