Finite element method- FEM

The finite element method is a numerical analysis technique used by engineers, scientists, andmathematicians to obtain solutions to the differential equations that describe, or approximatelydescribe a wide variety of physical (and non-physical) problems. Physical problems range indiversity from solid, fluid and soil mechanics, to electromagnetism or dynamics.The underlying premise of the method states that a complicated domain can be sub-divided into aseries of smaller regions in which the differential equations are approximately solved. Byassembling the set of equations for each region, the behavior over the entire problem domain isdetermined.Each region is referred to as anelementand the process of subdividing a domain into a finitenumber of elements is referred to asdiscretization.Elements are connected at specific points,called nodes andtheassembly process requires that the solution becontinuousalong commonboundaries of adjacent elements.



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