Article Details

An Overview on Mean and Vanance of the Displacement Distribution System | Original Article

Kavita Kumari*, Sudesh Kumar, in Journal of Advances and Scholarly Researches in Allied Education | Multidisciplinary Academic Research

ABSTRACT:

The finite element method (FEM) is a numerical technique for solving problems which are described by partial differential equations or can be formulated as functional minimization. A domain of interest is represented as an assembly of finite elements. Approximating functions in finite elements are determined in terms of nodal values of a physical field which is sought. A continuous physical problem is transformed into a discredited finite element problem with unknown nodal values. For a linear problem a system of linear algebraic equations should be solved. Values inside finite elements can be recovered using nodal values. Two features of the FEM are worth to be mentioned 1) Piece-wise approximation of physical fields on finite elements provides good precision even with simple approximating functions (increasing the number of elements we can achieve any precision). 2) Locality of approximation leads to sparse equation systems for a discredited problem. This helps to solve problems with very large number of nodal unknowns.