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Finite element analysis is a numerical technique of solving boundary value problems using appropriate shape functions relevant to the context (ex: beam element for frame analysis, 2d elements for slab analysis and so on). It is approximate method which relies heavily on the mesh convergence but is very powerful technique to be used at industrial scale. It has been used by my software tools meant for structural analysis.
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 simple equations that model these finite elements are then assembled into a larger system of equations that models the entire problem
FInite Element Mehod is a technique of analysis in which the element under consideration is subdivided into smaller elements and the subdivided minutia are then analyzed and the results are combined together to get the analysis result for the whole element. It is specially useful fir irregular shapes and to accomplish stress regions.
Finite element analysis which they call it as (FEA)
a finite element model compresses a system of points, called 'nodes' which from the shape of the design .
connected to those nodes are the finite elements themselves which from the finite elements mesh and contain and contain the material and structural properties of the model, , defining how it will react to certain conditions.
The density of the finite element mesh may vary through out the material, depending on the anticipated change in stress level in particular area.
@ Mazen , your answer about FEA is right but we should always notice that the regions that experience high changes in stress usually required a higher mesh density than those that experience little or no stress variation.
Finit element is a Numerical method to find out the straining action, displacements and stresses for any irregular shape using subdividing the element into smaller and simpler elements