scholarly journals A Gradient Weighted Moving Finite-Element Method with Polynomial Approximation of Any Degree

2009 ◽  
Vol 2009 ◽  
pp. 1-17
Author(s):  
Ali R. Soheili ◽  
J. Naghipoor ◽  
S. A. Ahmadian
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Experiments ◽  
Burger Equation ◽  
Time Dependent ◽  
Piecewise Polynomial ◽  
Two Space Dimensions ◽  
Time Dependent Problems ◽  
Element Method ◽  
Moving Finite Element

A gradient weighted moving finite element method (GWMFE) based on piecewise polynomial of any degree is developed to solve time-dependent problems in two space dimensions. Numerical experiments are employed to test the accuracy and effciency of the proposed method with nonlinear Burger equation.

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