Application of parallel data structures to the finite element solution of circular flat plates

1990 ◽  
Vol 37 (5) ◽  
pp. 647-662 ◽  
Author(s):  
M. Ali Ajiz
Keyword(s):  
Finite Element ◽  
Data Structures ◽  
Finite Element Solution ◽  
Element Solution ◽  
Flat Plates ◽  
Parallel Data

scholarly journals Finite Element Solution of an Unsteady MHD Flow through Porous Medium between Two Parallel Flat Plates

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
AbdelLatif Sa’adAldin ◽  
Naji Qatanani
Keyword(s):  
Finite Element ◽  
Porous Medium ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Mhd Flow ◽  
Finite Element Solution ◽  
Element Solution ◽  
Flat Plates ◽  
The Finite Difference Method

Finite element solution of unsteady magnetohydrodynamics (MHD) flow of an electrically conducting, incompressible viscous fluid past through porous medium between two parallel plates is presented in the presence of a transverse magnetic field and Hall effect. The results obtained from some test cases are then compared with previous published work using the finite difference method (FDM). Numerical examples show that the finite element method (FEM) gives more accurate results in comparison with the finite difference method (FDM).

scholarly journals Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
B. Borsos ◽  
János Karátson
Keyword(s):  
Finite Element ◽  
Newton Method ◽  
Newton's Method ◽  
Numerical Experiments ◽  
Elliptic Problems ◽  
Iterative Solvers ◽  
Finite Element Solution ◽  
Element Solution ◽  
Nonlinear Beam ◽  
Quasi Newton

Abstract The goal of this paper is to present various types of iterative solvers: gradient iteration, Newton’s method and a quasi-Newton method, for the finite element solution of elliptic problems arising in Gao type beam models (a geometrical type of nonlinearity, with respect to the Euler–Bernoulli hypothesis). Robust behaviour, i.e., convergence independently of the mesh parameters, is proved for these methods, and they are also tested with numerical experiments.

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