✦ LIBER ✦

Interpolation methods for the construction of the shape function space of nonconforming finite elements

✍ Scribed by J.B. Gao; T.M. Shih

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 760 KB
Volume: 122
Category: Article
ISSN: 0045-7825
DOI: 10.1016/0045-7825(94)00728-6

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Superconvergence of nonconforming finite

Superconvergence of nonconforming finite element method for the Stokes equations

✍ Xiu Ye 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 108 KB

This article derives a general superconvergence result for nonconforming finite element approximations of the Stokes problem by using a least-squares surface fitting method proposed and analyzed recently by Wang for the standard Galerkin method. The superconvergence result is based on some regularit

New decomposition of shape functions spa

New decomposition of shape functions spaces of mixed finite element methods

✍ A. Bendali; N. Raynaud; J.-M. Thomas 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 373 KB

A new decomposition of the shape functions spaces involved in mixed finite element method is introduced. This decomposition is particularly well suited to handling the local equilibrium condition. Associated with the dual mixed hybrid formulation, this property reduces the mixed formulation of secon

Nonconforming finite element methods for

Nonconforming finite element methods for the simulation of waves in viscoelastic solids

✍ Taeyoung Ha; Juan E. Santos; Dongwoo Sheen 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 379 KB

The propagation of waves in two-and three-dimensional bounded viscoelastic media is described in the spacefrequency domain, leading to a Helmholtz-type boundary value problem, which is noncoercive, non-Hermitian, and complex valued. First-order absorbing boundary conditions are derived and used to m

On principles for the selection of shape

On principles for the selection of shape functions for the Generalized Finite Element Method

✍ Ivo Babuška; Uday Banerjee; John E. Osborn 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 391 KB

Effective shape functions for the Generalized Finite Element Method should reflect the available information on the solution. This information is partially fuzzy, because the solution is, of course, unknown, and typically the only available information is the solutionÕs inclusion in a variety of fun

A posteriori error estimators for noncon

A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem

✍ Kwang-Yeon Kim; Hyung-Chun Lee 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 523 KB

In this work we derive and analyze a posteriori error estimators for low-order nonconforming finite element methods of the linear elasticity problem on both triangular and quadrilateral meshes, with hanging nodes allowed for local mesh refinement. First, it is shown that equilibrated Neumann data on

Nonconforming finite element approximati

Nonconforming finite element approximation of the Giesekus model for polymer flows

✍ R. Becker; D. Capatina; D. Graebling; J. Joie 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 618 KB

We present a numerical approximation of the Giesekus equation which is considered as a realistic model for polymer flows. We use nonconforming finite elements on quadrilateral grids which necessitate the addition of two stabilization terms. An appropriate upwind scheme is employed for the convective