9 articles
Absolute nodal coordinate formulation
The absolute nodal coordinate formulation (ANCF) is a nonlinear finite element method for flexible multibody dynamics, initiated in 1996 by Ahmed A. Shabana at the University of Illinois Chicago.
Extended finite element method
The extended finite element method (XFEM) is a numerical technique of computational mechanics, reported by Moës, Dolbow, and Belytschko in 1999, that models cracks and interfaces without remeshing.
Mixed finite element method
A mixed finite element method is a Galerkin technique approximating two or more coupled fields of a partial differential equation at once, such as velocity and pressure.
Petrov–Galerkin method
The Petrov–Galerkin method is a finite element technique for solving partial differential equations in which trial and test functions come from different function spaces, improving stability.
Scaled boundary finite element method
The scaled boundary finite element method (SBFEM) is a semi-analytical numerical method that solves partial differential equations by discretizing only a domain's boundary, reducing the problem dimension by one.
Shear locking
Shear locking is a numerical artifact of the finite element method in which thin beam, plate, or shell elements become artificially stiff, giving deflections far too small.
Spectral element method
The spectral element method is a numerical technique for solving partial differential equations, combining high-order polynomial basis functions with a finite-element mesh for exponential convergence.
Virtual element method
The virtual element method (VEM) is a numerical method for solving partial differential equations on meshes of arbitrary polygons or polyhedra, extending finite element ideas to shapes standard finite elements cannot handle.
Weak Galerkin method
The weak Galerkin method, introduced by Junping Wang and Xiu Ye in 2012, is a finite element method for numerically solving partial differential equations on general polytopal meshes.