- Algorithms
- >
- Numerical analysis
- >
- Numerical differential equations
- >
- Finite element method

- Algorithms
- >
- Numerical analysis
- >
- Structural analysis
- >
- Finite element method

- Approximations
- >
- Numerical analysis
- >
- Numerical differential equations
- >
- Finite element method

- Approximations
- >
- Numerical analysis
- >
- Structural analysis
- >
- Finite element method

- Computational mathematics
- >
- Numerical analysis
- >
- Numerical differential equations
- >
- Finite element method

- Computational mathematics
- >
- Numerical analysis
- >
- Structural analysis
- >
- Finite element method

- Differential calculus
- >
- Differential equations
- >
- Numerical differential equations
- >
- Finite element method

- Fields of mathematical analysis
- >
- Numerical analysis
- >
- Numerical differential equations
- >
- Finite element method

- Fields of mathematical analysis
- >
- Numerical analysis
- >
- Structural analysis
- >
- Finite element method

- Mathematics of computing
- >
- Numerical analysis
- >
- Numerical differential equations
- >
- Finite element method

- Mathematics of computing
- >
- Numerical analysis
- >
- Structural analysis
- >
- Finite element method

Infinite element method

The infinite element method is a numerical method for solving problems of engineering and mathematical physics. It is a modification of finite element method. The method divides the domain concerned i

Surface triangulation

Triangulation of a surface means
* a net of triangles, which covers a given surface partly or totally, or
* the procedure of generating the points and triangles of such a net of triangles.

Flexibility method

In structural engineering, the flexibility method, also called the method of consistent deformations, is the traditional method for computing member forces and displacements in structural systems. Its

Marine Unsaturated Model

The Marine Unsaturated Model (MARUN model) is a two-dimensional (vertical slice) finite element model capable of simulating the migration of water and solutes in saturated-unsaturated porous media whi

Multiphase topology optimisation

The Multi Phase Topology Optimisation is a simulation technique based on the principle of the finite element method which is able to determine the optimal distribution of two or more different materia

Discontinuous Galerkin method

In applied mathematics, discontinuous Galerkin methods (DG methods) form a class of numerical methods for solving differential equations. They combine features of the finite element and the finite vol

VisualFEA

VisualFEA is a finite element analysis software program for Microsoft Windows and Mac OS X. It is developed and distributed by Intuition Software, Inc. of South Korea, and used chiefly for structural

Raviart–Thomas basis functions

In applied mathematics, Raviart–Thomas basis functions are vector basis functions used in finite element and boundary element methods. They are regularly used as basis functions when working in electr

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 method (FEM) that uses high degree piecewi

Guyan reduction

In computational mechanics, Guyan reduction, also known as static condensation, is a dimensionality reduction method which reduces the number of degrees of freedom by ignoring the inertial terms of th

Finite element machine

The Finite Element Machine (FEM) was a late 1970s-early 1980s NASA project to build and evaluate the performance of a parallel computer for structural analysis. The FEM was completed and successfully

Loubignac iteration

In applied mathematics, Loubignac iteration is an iterative method in finite element methods. It gives continuous stress field. It is named after Gilles Loubignac, who published the method in 1977.

Streamline upwind Petrov–Galerkin pressure-stabilizing Petrov–Galerkin formulation for incompressible Navier–Stokes equations

The streamline upwind Petrov–Galerkin pressure-stabilizing Petrov–Galerkin formulation for incompressible Navier–Stokes equations can be used for finite element computations of high Reynolds number in

Hermes Project

Hermes2D (Higher-order modular finite element system) is a C++/Python library of algorithms for rapid development of adaptive hp-FEM solvers. hp-FEM is a modern version of the finite element method (F

Hu–Washizu principle

In continuum mechanics, and in particular in finite element analysis, the Hu–Washizu principle is a variational principle which says that the action is stationary, where is the elastic stiffness tenso

Wood–Armer method

The Wood–Armer method is a structural analysis method based on finite element analysis used to design the reinforcement for concrete slabs. This method provides simple equations to design a concrete s

Flexcom

Flexcom is a finite element analysis software package used in the offshore oil and gas and marine renewable energy industries. An educational version is also available for universities.

Spatial twist continuum

In finite element analysis, the spatial twist continuum (STC) is a dual representation of a hexahedral mesh that defines the global connectivity constraint. Generation of an STC can simplify the autom

Finite element method in structural mechanics

The finite element method (FEM) is a powerful technique originally developed for numerical solution of complex problems in structural mechanics, and it remains the method of choice for complex systems

Modal analysis using FEM

The goal of modal analysis in structural mechanics is to determine the natural mode shapes and frequencies of an object or structure during free vibration. It is common to use the finite element metho

SAMCEF

SAMCEF is a finite element analysis (FEA) software package dedicated to mechanical virtual prototyping. SAMCEF development started in 1965 at the Aerospace Laboratory of University of Liège. It was de

Motz's problem

In mathematics, Motz's problem is a problem which is widely employed as a benchmark for singularity problems to compare the effectiveness of numerical methods. The problem was first presented in 1947

Superelement

A superelement is a finite element method technique which consists of defining a new type of finite element by grouping and processing a set of finite elements. A superelement describes a part of a pr

Hp-FEM

hp-FEM is a general version of the finite element method (FEM), a numerical method for solving partial differential equations based on piecewise-polynomial approximations that employs elements of vari

MFEM

MFEM is an open-source C++ library for solving partial differential equations using the finite element method, developed and maintained by researchers at the Lawrence Livermore National Laboratory and

Bridge Software Institute

The Bridge Software Institute is headquartered at the University of Florida (UF) in Gainesville, Florida. It was established in January 2000 to oversee the development of bridge related software produ

Superconvergence

In numerical analysis, a superconvergent or supraconvergent method is one which converges faster than generally expected (superconvergence or supraconvergence). For example, in the Finite Element Meth

Finite element updating

Finite element model updating is the process of ensuring that finite element analysis results in models that better reflect the measured data than the initial models. It is part of verification and va

Dynamic design analysis method

The dynamic design analysis method (DDAM) is a US Navy-developed analytical procedure for evaluating the design of equipment subject to dynamic loading caused by underwater explosions (UNDEX). The ana

P-FEM

p-FEM or the p-version of the finite element method is a numerical method for solving partial differential equations. It is a discretization strategy in which the finite element mesh is fixed and the

Patch test (finite elements)

The patch test in the finite element method is a simple indicator of the quality of a finite element, developed by Bruce Irons.The patch test uses a partial differential equation on a domain consistin

Interval finite element

In numerical analysis, the interval finite element method (interval FEM) is a finite element method that uses interval parameters. Interval FEM can be applied in situations where it is not possible to

Grid classification

Grid or mesh is defined as smaller shapes formed after discretisation of geometric domain. Mesh or grid can be in 3- dimension and 2-dimension. Meshing has applications in the fields of geography, des

Smoothed finite element method

Smoothed finite element methods (S-FEM) are a particular class of numerical simulation algorithms for the simulation of physical phenomena. It was developed by combining meshfree methods with the fini

Finite element method

The 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 tradi

Proper orthogonal decomposition

The proper orthogonal decomposition is a numerical method that enables a reduction in the complexity of computer intensive simulations such as computational fluid dynamics and structural analysis (lik

Vflo

Vflo is a commercially available, physics-based distributed hydrologic model generated by Vieux & Associates, Inc. Vflo uses radar rainfall data for hydrologic input to simulate distributed runoff. Vf

Extended finite element method

The extended finite element method (XFEM), is a numerical technique based on the generalized finite element method (GFEM) and the partition of unity method (PUM). It extends the classical finite eleme

Discrete exterior calculus

In mathematics, the discrete exterior calculus (DEC) is the extension of the exterior calculus to discrete spaces including graphs and finite element meshes. DEC methods have proved to be very powerfu

Isogeometric analysis

Isogeometric analysis is a computational approach that offers the possibility of integrating finite element analysis (FEA) into conventional NURBS-based CAD design tools. Currently, it is necessary to

Barsoum elements

Barsoum elements is a finite element analysis technique used in fracture analysis to determine the stress intensity factor of a crack. It was introduced by R. Barsoum in 1976.

Functionally graded element

In materials science and mathematics, functionally graded elements are elements used in finite element analysis. They can be used to describe a functionally graded material.

Bramble–Hilbert lemma

In mathematics, particularly numerical analysis, the Bramble–Hilbert lemma, named after James H. Bramble and Stephen Hilbert, bounds the error of an approximation of a function by a polynomial of orde

Finite element exterior calculus

Finite element exterior calculus (FEEC) is a mathematical framework that formulates finite element methods using chain complexes. Its main application has been a comprehensive theory for finite elemen

Mixed finite element method

In numerical analysis, the mixed finite element method, is a type of finite element method in which extra fields to be solved are introduced during the posing a partial differential equation problem.

© 2023 Useful Links.