𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Superconvergence in the generalized finite element method

✍ Scribed by Ivo Babuška; Uday Banerjee; John E. Osborn


Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
682 KB
Volume
107
Category
Article
ISSN
0029-599X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Superconvergence phenomena in the finite
✍ Michal Kříek 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 515 KB

We give a brief survey of superconvergence phenomena in finding a numerical solution of differential equations by finite elements. Several new results and open problems are introduced.

Superconvergence in the projected-shear
✍ Zhimin Zhang 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 432 KB 👁 1 views

A projected-shear finite element method for periodic Reissner-Mindlin plate model are analyzed for rectangular meshes. A projection operator is applied to the shear stress term in the bilinear form. Optimal error estimates in the L 2 -norm, the H 1 -norm, and the energy norm for both displacement an

Superconvergence in high-order Galerkin
✍ Qun Lin; Junming Zhou 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 173 KB

In this paper, we shall use local estimates to give the superconvergence of high-order Galerkin finite element method for the elliptic equation of second order with constant coefficients by using the symmetric technique and integral identity. We get improved superconvergence on the inner locally sym

Pointwise superconvergence of the stream
✍ Guohui Zhou; Rolf Rannacher 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 927 KB

In this article, we analyze the local superconvergence property of the streamline-diffusion finiteelement method (SDFEM) for scalar convection-diffusion problems with dominant convection. By orienting the mesh in the streamline direction and imposing a uniformity condition on the mesh, the theoretic

Superconvergence of finite element metho
✍ Ming-xia Li; Qun Lin; Shu-hua Zhang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 538 KB

In this paper, we study the superconvergence of the frictionless Signorini problem. When approximated by bilinear finite elements, by virtue of the information on the contact zone, we can derive a superconvergence rate of O(h 3 2 ) under a proper regularity assumption. Finally, a numerical test is g