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finite-element method

A method of obtaining an approximate solution to a problem for which the governing equations and boundary conditions are known, by dividing the region of interest into numerous, interconnected subregions (finite elements) over which simple, approximating functions are used to represent the unknown quantities. The basic idea originated in the early 1900's as a method of solving for strains in bridges and buildings. It was further developed for analyzing the structure of aircraft in the early 1950's. The method, supported by rigorous mathematical theory, has now been applied to problems in heat flow, hydraulics, geodynamics and other disciplines.

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