𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On hp- error estimation in the BEM for a three-dimensional Helmholtz exterior problem

✍ Scribed by Andrzej Karafiat

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
925 KB
Volume
150
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

The purpose of the paper is to give an a priori convergence estimate for the hp-adaptive boundary element method. The method is used to solve an exterior Hehnholtz boundary-value problem with the Robin's boundary condition in the three-dimensional space. The mathematical model describes an acoustic wave scattering problem on a bounded elastic solid, where time-harmonic process is assumed. The estimate consists of three parts, which correspond to influence of three errors, caused by interpolation of functions, geometry and an incident wave.

📜 SIMILAR VOLUMES

A priori error estimates for hp penalty
A priori error estimates for hp penalty BEM for contact problems in elasticity
✍ A. Chernov; M. Maischak; E.P. Stephan 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 263 KB

The purpose of the paper is to obtain a priori error estimates for the hp-version of penalty Galerkin BEM applied to frictionless contact problems in elasticity. The error analysis is divided into two parts. At first we consider the error caused by the approximation of the variational inequality (or

Nonlinear artificial boundary conditions
Nonlinear artificial boundary conditions with pointwise error estimates for the exterior three dimensional Navier–Stokes problem
✍ Sergej A. Nazarov; Maria Specovius–Neugebauer 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 282 KB

## Abstract On a three–dimensional exterior domain Ω we consider the Dirichlet problem for the stationary Navier–Stokes system. We construct an approximation problem on the domain Ω~__R__~, which is the intersection of Ω with a sufficiently large ball, while we create nonlinear, but local artificia

Error estimates of the finite element me
Error estimates of the finite element method for the exterior Helmholtz problem with a modified DtN boundary condition
✍ Daisuke Koyama 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 795 KB

A priori error estimates in the H 1 -and L 2 -norms are established for the finite element method applied to the exterior Helmholtz problem, with modified Dirichlet-to-Neumann (MDtN) boundary condition. The error estimates include the effect of truncation of the MDtN boundary condition as well as th