𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The intrinsic partition of unity method

✍ Scribed by Thomas-Peter Fries; Ted Belytschko

Publisher
Springer
Year
2007
Tongue
English
Weight
374 KB
Volume
40
Category
Article
ISSN
0178-7675

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

THE PARTITION OF UNITY METHOD
THE PARTITION OF UNITY METHOD
✍ I. BABUΕ KA; J. M. MELENK πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 403 KB πŸ‘ 1 views

A new finite element method is presented that features the ability to include in the finite element space knowledge about the partial differential equation being solved. This new method can therefore be more efficient than the usual finite element methods. An additional feature of the partition-of-u

The mixed-cell-complex partition-of-unit
The mixed-cell-complex partition-of-unity method
✍ Carsten Riker; Stefan M. Holzer πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 495 KB

element method (FEM) Generalized finite element method (GFEM) Galerkin method Mixed cell complex p-Version h-Version a b s t r a c t We present a Galerkin method for solving partial differential equations which is a blend of ideas from particle-based methods on the one side and traditional finite e

The generalized product partition of uni
The generalized product partition of unity for the meshless methods
✍ Hae-Soo Oh; Woo Jeong Jae; Tak Hong Won πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 903 KB

The partition of unity is an essential ingredient for meshless methods named by GFEM, PUFEM (partition of unity FEM), XFEM (extended FEM), RKPM (reproducing kernel particle method), RPPM (reproducing polynomial particle method), the method of hp clouds in the literature. There are two popular choice

A hierarchical finite element method bas
A hierarchical finite element method based on the partition of unity
✍ Robert L. Taylor; O.C. Zienkiewicz; E. OΓ±ate πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 789 KB

In this paper we consider the application of hierarchical functions to base approximations which are a partition of unity. The particular hierarchical functions used are added to base finite element interpolations which, for Co approximations, are a particular case of the partition of unity. We also