The Use of Finite Elements for Approximation of Field Variables on Local Sub-Domains in a Mesh-Free Way

2008 ◽  
pp. 87-106 ◽  
Author(s):  
V. Sladek ◽  
J. Sladek ◽  
Ch. Zhang
Keyword(s):  
Finite Elements ◽  
Mesh Free

scholarly journals Coupling of mesh-free methods with finite elements: basic concepts and test results

2006 ◽  
Vol 22 (10) ◽  
pp. 1031-1065 ◽  
Author(s):  
T. Rabczuk ◽  
S. P. Xiao ◽  
M. Sauer
Keyword(s):  
Finite Elements ◽  
Test Results ◽  
Mesh Free ◽  
Mesh Free Methods ◽  
Basic Concepts

scholarly journals Shape-Free Finite Element Method: Another Way between Mesh and Mesh-Free Methods

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Song Cen ◽  
Ming-Jue Zhou ◽  
Yan Shang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Finite Element Methods ◽  
High Performance ◽  
Mesh Quality ◽  
Mesh Free ◽  
Plane Element ◽  
Mesh Free Methods ◽  
Hybrid Stress

Performances of the conventional finite elements are closely related to the mesh quality. Once distorted elements are used, the accuracy of the numerical results may be very poor, or even the calculations have to stop due to various numerical problems. Recently, the author and his colleagues developed two kinds of finite element methods, named hybrid stress-function (HSF) and improved unsymmetric methods, respectively. The resulting plane element models possess excellent precision in both regular and severely distorted meshes and even perform very well under the situations in which other elements cannot work. So, they are calledshape-freefinite elements since their performances are independent to element shapes. These methods may open new ways for developing novel high-performance finite elements. Here, the thoughts, theories, and formulae of aboveshape-freefinite element methods were introduced, and the possibilities and difficulties for further developments were also discussed.

A new class of stabilized mesh-free finite elements for the approximation of the Stokes problem

2004 ◽  
Vol 20 (5) ◽  
pp. 703-722 ◽  
Author(s):  
V. V. K. Srinivas Kumar ◽  
B. V. Rathish Kumar ◽  
P. C. Das
Keyword(s):  
Finite Elements ◽  
Stokes Problem ◽  
New Class ◽  
Mesh Free

scholarly journals A comparison of two formulations to blend finite elements and mesh-free methods

2004 ◽  
Vol 193 (12-14) ◽  
pp. 1105-1117 ◽  
Author(s):  
Antonio Huerta ◽  
Sonia Fernández-Méndez ◽  
Wing Kam Liu
Keyword(s):  
Finite Elements ◽  
Mesh Free ◽  
Mesh Free Methods

Finite elements-boundary elements coupling for the movement modeling in two-dimensional structures

1992 ◽  
Vol 2 (11) ◽  
pp. 2035-2044 ◽  
Author(s):  
A. Nicolet ◽  
F. Delincé ◽  
A. Genon ◽  
W. Legros
Keyword(s):  
Finite Elements ◽  
Boundary Elements ◽  
Two Dimensional
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