http://wiki.karljones.com/index.php?action=history&feed=atom&title=Finite_element_method 2026-10-23T11:15:26Z Revision history for this page on the wiki MediaWiki 1.24.2 http://wiki.karljones.com/index.php?title=Finite_element_method&diff=20086&oldid=prev 2017-04-04T15:39:59Z

<p>Created page with &quot;The &#039;&#039;&#039;finite element method&#039;&#039;&#039; (&#039;&#039;&#039;FEM&#039;&#039;&#039;) is a numerical method for solving problems of engineering and mathematical physics. It is also referred to as &#039;&#039;&#039;finite element ana...&quot;</p> <p><b>New page</b></p><div>The '''finite element method''' ('''FEM''') is a numerical method for solving problems of engineering and mathematical physics. It is also referred to as '''finite element analysis''' ('''FEA''').<br /> <br /> Typical problem areas of interest include structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential.<br /> <br /> The analytical solution of these problems generally require the solution to boundary value problems for partial differential equations. The finite element method formulation of the problem results in a system of algebraic equations. The method yields approximate values of the unknowns at discrete number of points over the domain.<br /> <br /> To solve the problem, it subdivides a large problem into smaller, simpler parts that are 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. FEM then uses variational methods from the calculus of variations to approximate a solution by minimizing an associated error function.<br /> <br /> == See also ==<br /> <br /> * [[Applied element method]]<br /> * [[Boundary element method]]<br /> * [[Computer experiment]]<br /> * [[Direct stiffness method]]<br /> * [[Discontinuity layout optimization]]<br /> * [[Discrete element method]]<br /> * [[Finite difference method]]<br /> * [[Finite element machine]]<br /> * [[Finite element method in structural mechanics]]<br /> * [[Finite volume method]]<br /> * [[Finite volume method for unsteady flow]]<br /> * [[Interval finite element]]<br /> * [[Isogeometric analysis]]<br /> * [[Lattice Boltzmann methods]]<br /> * [[List of finite element software packages]]<br /> * [[Movable cellular automaton]]<br /> * [[Multidisciplinary design optimization]]<br /> * [[Multiphysics]]<br /> * [[Patch test]]<br /> * [[Rayleigh–Ritz method]]<br /> * [[Space mapping]]<br /> * [[Weakened weak form]]<br /> <br /> == External links ==<br /> <br /> * [https://en.wikipedia.org/wiki/Finite_element_method Finite element method] @ Wikipedia<br /> <br /> [[Category:Mathematics]]<br /> [[Category:Physics]]</div>

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