Want this question answered?
The main difference between the Rayleigh-Ritz method (RRM) and the finite element method lies in the definition of the basis functions. For FEM, these are element-related functions, whereas for RRM these are valid for the whole domain and have to fit the boundary conditions. The Rayleigh-Ritz method for homogeneous boundary conditions leads to the same discretized equations as the Galerkin method of weighted residuals.
Finite Differential Methods (FDM) are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives.
2n - 1
(1). G is is finite implies o(G) is finite.Let G be a finite group of order n and let e be the identity element in G. Then the elements of G may be written as e, g1, g2, ... gn-1. We prove that the order of each element is finite, thereby proving that G is finite implies that each element in G has finite order. Let gkbe an element in G which does not have a finite order. Since (gk)r is in G for each value of r = 0, 1, 2, ... then we conclude that we may find p, q positive integers such that (gk)p = (gk)q . Without loss of generality we may assume that p> q. Hence(gk)p-q = e. Thus p - q is the order of gk in G and is finite.(2). o(G) is finite implies G is finite.This follows from the definition of order of a group, that is, the order of a group is the number of members which the underlying set contains. In defining the order we are hence assuming that G is finite. Otherwise we cannot speak about quantity.Hope that this helps.
It is a finite number.It is a finite number.It is a finite number.It is a finite number.
Daryl L. Logan has written: 'A First Course in the Finite Element Method/Book and Disk (The Pws Series in Engineering)' 'A first course in the finite element method' -- subject(s): Finite element method 'A first course in the finite element method' -- subject(s): Finite element method 'A First Course in the Finite Element Method Using Algor' -- subject(s): Algor, Data processing, Finite element method
procedure of analysis of machine component by finite element analysis
Eric B. Becker has written: 'Development of non-linear finite element computer code' -- subject(s): Finite element method, Strains and stresses 'Finite elements' -- subject(s): Finite element method
J. E. Akin has written: 'Finite element analysis with error estimators' -- subject(s): Error analysis (Mathematics), Finite element method, Structural analysis (Engineering) 'Finite Elements for Analysis and Design' 'Finite Elements for Analysis and Design' 'Application and implementation of finite element methods' -- subject(s): Data processing, Finite element method
B. A. Szabo has written: 'Hierarchic plate and shell models based on p-extension' -- subject(s): Finite element method, Mathematical models, Plates (Engineering), Shells (Engineering) 'Introduction to finite element analysis' -- subject(s): TECHNOLOGY & ENGINEERING / Drafting & Mechanical Drawing, Finite element method 'Solution of elastic-plastic stress analysis probems by the p-version of the finite element method' -- subject(s): Finite element method, Strains and stresses
I. M. Smith has written: 'Programming the finite element method' -- subject(s): Data processing, Finite element method, Soil mechanics
The Finite Element Method is used for optimizing certain designs effectively. It basically helps solves problems in engineering by using smaller equations.
Pin Tong has written: 'Zhongguo jin rong yun xing yan jiu' 'Finite-element method' -- subject(s): Finite element method
David S. Burnett has written: 'Finite element analysis' -- subject(s): Finite element method
E. Hinton has written: 'Finite element programming' -- subject(s): Data processing, Finite element method
H. R. Schwarz has written: 'Finite element methods' -- subject(s): Finite element method
Juan C. Heinrich has written: 'Intermediate finite element method' -- subject(s): Mathematical models, Transmission, Heat, Finite element method, Fluid mechanics