Live briefing
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: A mixed finite element method for large deformation of flexoelectric materialsInfluential work since 2022
- Pick up a classic book: Control-volume mixed finite element methodsThe most-reprinted book on the subject
- Read the landmark paper: A Multiscale Mortar Mixed Finite Element MethodCited 271 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)
A Multiscale Mortar Mixed Finite Element Method
A Multipoint Flux Mixed Finite Element Method
A stabilized mixed finite element method for finite elasticity.
A Mixed Finite Element Method for the Biharmonic Equation
On the mixed finite element method with Lagrange multipliers
A Multipoint Flux Mixed Finite Element Method on Hexahedra
A mixed finite element method for nonlinear diffusion equations
A new mixed finite element method for poro‐elasticity
🆕 Influential since 2022
A mixed finite element method for large deformation of flexoelectric materials
An extended mixed finite element method for elliptic interface problems
A mixed multiscale spectral generalized finite element method
A Nonlinear Mixed Finite Element Method for the Analysis of Flexoelectric Semiconductors
Mixed Formulation of Finite Element Method Within Toupin–Mindlin Gradient Elasticity Theory
📚 Books worth reading
- 📕Control-volume mixed finite element methodsJones, J. E. · 1997
- 📕Stochastic Structural DynamicsCho W. S. To · 2013
- 📕A mixed multi-field finite element formulation for thermopiezoelectric composite shellsJo-Jun Lee · 1999
Mixed Finite Element Methods and ApplicationsDaniele Boffi · 2013
Mixed And Hybrid Finite Element MethodsMichel Fortin · 2011- 📕Mixed Finite Element MethodApostol Poceski · 1991
Hybrid and mixed finite element methodsSatya N. Atluri, Richard H. Gallagher · 1983- 📕A velocity-pressure integrated, mixed interpolation, Galerkin finite element method for high Reynolds number laminar flowsSang-Wook Kim · 1988
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…