𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Trefftz, collocation, and other boundary methods—A comparison

✍ Scribed by Zi-Cai Li; Tzon-Tzer Lu; Hung-Tsai Huang; Alexander H.-D. Cheng

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
316 KB
Volume
23
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Indirect methods of collocation: Trefftz
Indirect methods of collocation: Trefftz-Herrera collocation
✍ Ismael Herrera; Martín Díaz 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 280 KB

A nonstandard collocation method (TH-collocation) is presented, where collocation is used to construct specialized weighting functions instead of the solution itself, as it is usual, so that in this sense it is an indirect method. TH-collocation is shown to be as accurate as standard collocation, bu

Essential boundary condition enforcement
Essential boundary condition enforcement in meshless methods: boundary flux collocation method
✍ Cheng-Kong C. Wu; Michael E. Plesha 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 163 KB

## Abstract Element‐free Galerkin (EFG) methods are based on a moving least‐squares (MLS) approximation, which has the property that shape functions do not satisfy the Kronecker delta function at nodal locations, and for this reason imposition of essential boundary conditions is difficult. In this

CONTINUITY AND COLLOCATION EFFECTS IN TH
CONTINUITY AND COLLOCATION EFFECTS IN THE BOUNDARY ELEMENT METHOD
✍ BRUCE A. AMMONS; MADHUKAR VABLE 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 225 KB 👁 2 views

The presence of singularities in the integral operators of the boundary element methods requires that the density functions must satisfy certain continuity requirements if the displacements and stresses are to be bounded. Quite often the continuity conditions, particularly on the derivatives of the

Trefftz boundary elements—multi-region f
Trefftz boundary elements—multi-region formulations
✍ A. Portela; A. Charafi 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 162 KB 👁 2 views

This paper is concerned with an e ective numerical implementation of the Tre tz boundary element method, for the analysis of two-dimensional potential problems, deÿned in arbitrarily shaped domains. The domain is ÿrst discretized into multiple subdomains or regions. Each region is treated as a sing