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Finite element method

Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. Computers are usually used to perform the…

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Overview

Basic concepts

History

Technical discussion

Discretization

Various types of finite element methods

Link with the gradient discretization method

Comparison to the finite difference method

Finite element and fast fourier transform (FFT) methods

Application

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Finite element method

Nodes171
Edges170
Triples113
Avg. degree1.99
Density0.011696
Components1

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Finite element method

Top relations

related to Further reading · 43
Finite element method → Allaire, An Introduction, Bathe, Brenner, Butterworth-Heinemann, Chaskalovic, Craig, Demkowicz, Dynamic Finite Element Analysis, Endre Süli, Engineering Sciences, Finite Element Methods, Finite Elements, Finite Elements Methods, Fundamentals, Hughes, Introduction, ISBN, Its Basis, Linear Static
related to XFEM · 9
Finite element method → Extended, GFEM, It, Moreover, PUM, Several, The, XFEM, XFEMs
related to Scaled boundary finite element method (SBFEM) · 7
Finite element method → However, It, SBFEM, Song, The, The SBFEM, Wolf
related to Virtual element method (VEM) · 6
Finite element method → Beirão, MFD, The, This, Veiga, VEM
related to A-FEM · 5
Finite element method → Augmented-Finite Element Method, DoFs, Lui, PuM, Yang
related to Crystal plasticity finite element method (CPFEM) · 5
Finite element method → CPFEM, Franz Roters, It, Metals, The
related to General form of the finite element method · 5
Finite element method → In, Omega, One, Then, We
see also · 5
Finite element method → Applied, Boltzmann, Ritz, VerifierSpace, Weakened
related to Link with the gradient discretization method · 4
Finite element method → FEMs, GDM, Hence, Some
related to CutFEM · 3
Finite element method → Approach, The, The Cut Finite Element

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Important terminology

method element finite fem displaystyle problem methods basis one problems functions equations solution discretization mesh boundary linear numerical analysis polynomial

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Finite element methodis atype of finite element method in which extra independent variables are introduced as nodal variables during the discretization of a partial differential equation problem.Variable0.90text
Finite element methodis atype of finite element method in which extra independent variables are introduced as nodal variables during the discretization of a partial differential equation problem0.90text
Euler's method or the Rungeinstance ofordinary differential equation sets that occur in the transient problems are solved by numerical integrations using standard techniques0.80text
the conjugate gradient method is favoredinstance ofso a technique0.80text
u x x x xinstance offor a fourth-order problem0.80text
thermalinstance ofSeveral modern FEM packages include specific components0.80text
electromagneticinstance ofSeveral modern FEM packages include specific components0.80text
fluidinstance ofSeveral modern FEM packages include specific components0.80text
and structural working environmentsinstance ofSeveral modern FEM packages include specific components0.80text
Finite element methodhas methodExamples0.60section
Finite element methodhas methodGalerkin0.60section
Finite element methodrelated to A-FEMYang0.60section

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