Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...

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

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

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

common approaches to the numerical solution of PDE, along with finite element methods. For a n-times differentiable function, by Taylor's theorem the...

nonconforming finite element, mixed finite element, mimetic finite difference...) inherit these convergence properties. The finite-volume method is a numerical...

contrasted with the finite difference methods, which approximate derivatives using nodal values, or finite element methods, which create local approximations...

In numerical analysis, a mixed finite element method, is a variant of the finite element method in which extra fields to be solved are introduced during...

Meshfree methods include the generalized finite element method (GFEM), extended finite element method (XFEM), spectral finite element method (SFEM), meshfree...

Finite Element-Discrete Element Method is contained in the book The Combined Finite-Discrete Element Method. The fundamental assumption of the method...

This is a list of notable software packages that implement the finite element method for solving partial differential equations. This table is contributed...

Common methods include the finite element, finite difference, or finite volume method that subdivide the object of interest into smaller pieces (element) by...

method is the most common implementation of the finite element method (FEM). In applying the method, the system must be modeled as a set of simpler,...

Galerkin methods are: the Galerkin method of weighted residuals, the most common method of calculating the global stiffness matrix in the finite element method...

Discrete element method Finite element method Finite volume method for unsteady flow Fluid animation Immersed boundary method Lattice Boltzmann methods List...

equations, a topic in mathematics, the spectral element method (SEM) is a formulation of the finite element method (FEM) that uses high-degree piecewise polynomials...

Both finite difference or finite element method can be mimetic; it depends on the properties that the method has. For example, a mixed finite element method...

mechanics. Bathe is considered to be one of the pioneers in the field of finite element analysis and its applications. He was born in Berlin as a second child...

boundary element methods are significantly less efficient than volume-discretisation methods (finite element method, finite difference method, finite volume...

Spectral methods and finite-element methods are closely related and built on the same ideas; the main difference between them is that spectral methods use...

The fuzzy finite element method combines the well-established finite element method with the concept of fuzzy numbers, the latter being a special case...

Finite element model updating is the process of ensuring that finite element analysis results in models that better reflect the measured data than the...

the Ritz method uses trial wave functions to approximate the ground state eigenfunction with the lowest energy. In the finite element method context,...

notable for our purposes are: finite difference methods, finite volume methods, finite element methods, and spectral methods. Finite difference replace the infinitesimal...

modeled by finite element methods); matrix products (when using transfer matrix methods); calculating numerical integrals (when using the method of moments);...

Many other methods exist, such as atomistic-continuum simulations, similar to QM/MM except using molecular dynamics and the finite element method as the fine...

In numerical analysis, the interval finite element method (interval FEM) is a finite element method that uses interval parameters. Interval FEM can be...

the velocity field. Numerical methods such as the finite difference method, finite-volume method, and finite element method were originally defined on meshes...

Multigrid methods can be applied in combination with any of the common discretization techniques. For example, the finite element method may be recast...

consistent with the constraints See also: Interval boundary element method, Interval finite element Loss of significance Numerical error Numerical stability...