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Everything about Finite element method
Numerical method for solving physical or engineering problems
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 calculations required. With high-speed supercomputers, better solutions can be achieved and are often required to solve the largest and most complex problems. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Finite element methodA 5-minute orientation
- Skim a recent paper: Recent advances and applications of surrogate models for finite element method computations: a reviewInfluential work since 2022
- Pick up a classic book: The finite element methodThe most-reprinted book on the subject
- Read the landmark paper: The generalized finite element methodCited 568 times
- Go sideways: Spectral element methodA closely related topic
- Go sideways: Gradient discretisation methodA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
The generalized finite element method
Immersed finite element method
A coupled finite element-element-free Galerkin method
On the finite element method
The meshless finite element method
The stochastic finite-element method
Hybrid finite difference/finite element immersed boundary method
Finite strain, finite rotation quadratic tetrahedral element for the combined finite–discrete element method
🆕 Influential since 2022
Recent advances and applications of surrogate models for finite element method computations: a review
Review of finite element model updating methods for structural applications
Tensegrity system dynamics based on finite element method
Finite element method for stress-driven nonlocal beams
TsgFEM: Tensegrity Finite Element Method
📚 Books worth reading
The finite element methodO. C. Zienkiewicz, R. L. Taylor · 1977
A first course in the finite element methodDaryl L. Logan · 1986
Programming the finite element methodI. M. Smith · 1982
Programming the finite element methodI. M. Smith, D. V. Griffiths · 1982- 📕Computational finite element methods in nanotechnologySarhan M. Musa · 2012
Finite Element MethodDarrell W. Pepper, Juan C. Heinrich · 2005- 📕Finite Element MethodsMichel Krizek, Pekka Neittaanmaki · 1994
Finite Element Method in ElectromagneticsJian-Ming Jin · 2008
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Spectral element method In the numerical solution of partial differential equations, a topic in mathematics, the spectral element method (SEM) is a formulation of the finite element…
- Gradient discretisation method In numerical mathematics, the gradient discretisation method (GDM) is a framework which contains classical and recent numerical schemes for diffusion problems…
- Meshfree methods In the field of numerical analysis, meshfree methods are those that do not require connection between nodes of the simulation domain, i.e. a mesh, but…
- Thermal simulations for integrated circuits Miniaturizing components has always been a primary goal in the semiconductor industry because it cuts production cost and lets companies build smaller…
- Domain decomposition methods In mathematics, numerical analysis, and numerical partial differential equations, domain decomposition methods solve a boundary value problem by splitting…
- Numerical methods in fluid mechanics Fluid motion is governed by the Navier–Stokes equations, a set of coupled and nonlinear partial differential equations derived from the basic laws of conservati…
- Stiffness matrix In the finite element method for the numerical solution of elliptic partial differential equations, the stiffness matrix is a matrix that represents the…
- Kansa method The Kansa method (also known as the unsymmetric radial basis function collocation method) is a meshless numerical method for solving partial differential…