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

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

variants of FEM (finite element method) combining some meshless aspects Smoothed finite element method (S-FEM) (2007) Gradient smoothing method (GSM) (2008)...

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...

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

is smooth. However, there are no known three-dimensional single domain spectral shock capturing results. In the finite element community, a method where...

Finite element exterior calculus (FEEC) is a mathematical framework that formulates finite element methods using chain complexes. Its main application...

reconstructed functions. Computational fluid dynamics Generalizing the finite element method: diffuse approximation and diffuse elements, B Nayroles, G Touzot...

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

weakened weak form Smoothed finite element method Variational multiscale method List of finite element software packages Spectral method — based on the Fourier...

Finite-difference time-domain (FDTD) or Yee's method (named after the Chinese American applied mathematician Kane S. Yee, born 1934) is a numerical analysis...

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

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

processing, a finite impulse response (FIR) filter is a filter whose impulse response (or response to any finite length input) is of finite duration, because...

In applied mathematics, the finite pointset method (FPM) is a general approach for the numerical solution of problems in continuum mechanics, such as the...

plasticity modeling. Limited analysis. Finite element method Meshfree methods Smoothed finite element method G.R. Liu. "A G space theory and a weakened...

the Boltzmann equation is solved for finite Knudsen number fluid flows using the direct simulation Monte Carlo method in combination with highly efficient...

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

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

equations can be used for finite element computations of high Reynolds number incompressible flow using equal order of finite element space (i.e. P k − P k...

using techniques such as the finite element method or spectral methods. Here, we will use the finite difference method. To do this, we can divide the...

research, called smoothed analysis, was introduced specifically to study the simplex method. Indeed, the running time of the simplex method on input with...

methods (DG methods) form a class of numerical methods for solving differential equations. They combine features of the finite element and the finite...

Smoothed-particle hydrodynamics (SPH) is a computational method used for simulating the mechanics of continuum media, such as solid mechanics and fluid...

Structural-thermal coupling Adaptive remeshing SPH (Smoothed particle hydrodynamics) DEM (Discrete element method) EFG (Element Free Galerkin) Radiation transport EM...

in this case a nonconforming method for the approximation of (2), which includes the nonconforming finite element method. Note that the reciprocal is...

unstaggered or staggered grids. According to methods of approximation we have finite difference and finite element models. There are three basic types of OGCMs:...

Various automatic techniques especially those associated with Finite Element Method also utilize unstructured grids. Mesh refinement and adaption is...

integrals on the positive reals. Monte Carlo methods can also be used, or a change of variables to a finite interval; e.g., for the whole line one could...

other mesh-based methods like the finite element method, finite volume method or finite difference method, the MPM is not a mesh based method and is instead...