scholarly journals Dual finite element analysis for unilateral boundary value problems

1977 ◽  
Vol 22 (1) ◽  
pp. 14-51
Author(s):  
Ivan Hlaváček
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Element Analysis

scholarly journals Effects of Nonlinearity on the Variational Iteration Solutions of Nonlinear Two-Point Boundary Value Problems with Comparison with Respect to Finite Element Analysis

2008 ◽  
Vol 2008 ◽  
pp. 1-10 ◽  
Author(s):  
MehmetTarık Atay ◽  
SafaBozkurt Coşkun
Keyword(s):  
Finite Element ◽  
Boundary Value Problems ◽  
Nonlinear Term ◽  
Burger Equation ◽  
Boundary Value ◽  
Variational Iteration Method ◽  
Point Boundary ◽  
Element Analysis ◽  
Variational Iteration ◽  
Fine Mesh

Solution of a nonlinear two-point boundary value problem is studied using variational iteration method (VIM) considering its convergence behavior due to the changing nonlinearity effects in the equation. To achieve this, steady Burger equation is first solved by using finite element method (FEM) with a very fine mesh for the comparison of results obtained from VIM. Effect of the nonlinear term in the equation that is multiplied by a constant is taken into account for five different cases by changing the corresponding constant. Results have shown that VIM is a flexible, easy to apply, and promising method for the analysis of nonlinear two-point boundary value problems with the fact that the larger the effect of the nonlinear term of the equation, the slower the convergence rate when compared to FEM solutions.

Finite Element Analysis of a Moving Boundary Value Problem

1995 ◽  
Vol 13 (1-2) ◽  
pp. 99-123 ◽  
Author(s):  
Qianli Liu ◽  
Joseph Irudayaraj
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Boundary Value Problem ◽  
Moving Boundary ◽  
Boundary Value ◽  
Element Analysis
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