What does finite element method mean?

Definitions for finite element method
fi·nite el·e·ment method

This dictionary definitions page includes all the possible meanings, example usage and translations of the word finite element method.

Wikipedia

  1. Finite element method

    The finite element method (FEM) is the most widely used method for solving problems of engineering and mathematical models. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. The FEM is a particular numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems). To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements. This is achieved by a particular space discretisation in the space dimensions, which is implemented by the construction of a mesh of the object: the numerical domain for the solution, which has a finite number of points. The finite element method formulation of a boundary value problem finally results in a system of algebraic equations. The method approximates the unknown function over the domain. The simple equations that model these finite elements are then assembled into a larger system of equations that models the entire problem. The FEM then uses variational methods from the calculus of variations to approximate a solution by minimizing an associated error function. Studying or analyzing a phenomenon with FEM is often referred to as finite element analysis (FEA).

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Numerology

  1. Chaldean Numerology

    The numerical value of finite element method in Chaldean Numerology is: 3

  2. Pythagorean Numerology

    The numerical value of finite element method in Pythagorean Numerology is: 4

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"finite element method." Definitions.net. STANDS4 LLC, 2024. Web. 1 May 2024. <https://www.definitions.net/definition/finite+element+method>.

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