Field theory concepts: electromagnetic fields, Maxwell's equations, grad, curl, div, etc.: finite-element method, finite-difference method, charge simulation method, Monte Carlo method

1989 ◽  
Vol 26 (11) ◽  
pp. 26-6296-26-6296
Keyword(s):  
Field Theory ◽  
Finite Element Method ◽  
Finite Element ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Simulation Method ◽  
Charge Simulation Method

GALERKIN FINITE ELEMENT METHOD AND FINITE DIFFERENCE METHOD FOR SOLVING CONVECTIVE NON-LINEAR EQUATION

2010 ◽  
Vol 9 (1-2) ◽  
pp. 69
Author(s):  
E. C. Romão ◽  
M. D. De Campos ◽  
L. F. M. De Moura
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
Convection Diffusion ◽  
Non Linear ◽  
Element Method

The fast progress has been observed in the development of numerical and analytical techniques for solving convection-diffusion and fluid mechanics problems. Here, a numerical approach, based in Galerkin Finite Element Method with Finite Difference Method is presented for the solution of a class of non-linear transient convection-diffusion problems. Using the analytical solutions and the L2 and L∞ error norms, some applications is carried and valuated with the literature.

scholarly journals Comparative analysis of Rectangular Plate by Finite element method and Finite Difference Method

2021 ◽  
Vol 9 (9) ◽  
pp. 1397-1398
Author(s):  
Dr. A. R. Gupta
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Comparative Analysis ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Rectangular Plate ◽  
Difference Method ◽  
Numerical Technique ◽  
Element Analysis ◽  
Element Method

Abstract: Plates are commonly used to support lateral or vertical loads. Before the design of such a plate, analysis is performed to check the stability of plate for the proposed load. There are several methods for this analysis. In this research, a comparative analysis of rectangular plate is done between Finite Element Method (FEM) and Finite Difference Method (FDM). The plate is considered to be subjected to an arbitrary transverse uniformly distributed loading and is considered to be clamped at the two opposite edges and free at the other two edges. The Finite Element Method (FEM) is a numerical technique for finding approximate solutions to boundary value problems for partial differential equations. It is also referred to as finite element analysis (FEA). FEM subdivides a large problem into smaller, simpler, parts, called finite elements. The work covers the determination of displacement components at different points of the plate and checking the result by software (STAAD.Pro) analysis. The ordinary Finite Difference Method (FDM) is used to solve the governing differential equation of the plate deflection. The proposed methods can be easily programmed to readily apply on a plate problem. Keywords: Arbitrary, FEM, FDM, boundary.

Solving the Deflection Problem of Laptop Casing Structure by Finite Difference Method

2014 ◽  
Vol 527 ◽  
pp. 134-139
Author(s):  
Hao Hu ◽  
Wen Cheng Tang ◽  
Hui Xiang Huang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Matlab Program ◽  
Simple Support ◽  
Large Length ◽  
Load Conditions ◽  
Good Agreement

Due to its large length/thickness ratio, the casing structure can be treated as plates andshells,thus the classical plates and shell theories can be applied. A general MATLAB program wasdesigned to solve the deflection problems of the isotropic casing with simple support usingdifferential method. To test its precision,two different load conditions as well as two materials wereused and their results was made comparison with that of finite element method and Navier solution.The results were in good agreement with each other and the method was efficient in solving thedeflection problems of a casing structure

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