scholarly journals Uniform high-order convergence of multiscale finite element computation on a graded recursion for singular perturbation

2020 ◽  
Vol 28 (2) ◽  
pp. 935-949
Author(s):  
Shan Jiang ◽  
◽  
Li Liang ◽  
Meiling Sun ◽  
Fang Su ◽  
...  
Keyword(s):  
Finite Element ◽  
Singular Perturbation ◽  
High Order ◽  
Order Convergence ◽  
High Order Convergence ◽  
Element Computation ◽  
Multiscale Finite Element ◽  
Finite Element Computation

An ABAQUS toolbox for multiscale finite element computation

2013 ◽  
Vol 52 ◽  
pp. 323-333 ◽  
Author(s):  
Adjovi Tchalla ◽  
Salim Belouettar ◽  
Ahmed Makradi ◽  
Hamid Zahrouni
Keyword(s):  
Finite Element ◽  
Element Computation ◽  
Multiscale Finite Element ◽  
Finite Element Computation

A Newton-Krylov Algorithm for High-Order Finite Element Computation of Heat Conduction Problems

2012 ◽  
Author(s):  
Amir Nejat ◽  
Ehsan Mirzakhalili
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Discontinuous Galerkin ◽  
High Order ◽  
Coarse Mesh ◽  
Krylov Method ◽  
Cpu Time ◽  
Element Computation ◽  
Finite Element Computation

The solution of a high-order conduction problem with different orders of accuracy has been investigated in this paper. The high-order solutions are obtained using Discontinuous Galerkin (DG) finite element method. The problem is solved by implicit Newton-Krylov method for different accuracy orders. The convergence of the implicit technique is investigated in terms of the CPU time. The results show the possibility of achieving an accurate and smooth solution over a coarse mesh when the higher-order discretization is employed.

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