On hp- error estimation in the BEM for a three-dimensional Helmholtz exterior problem / Andrzej Karafiat // Computer Methods in Applied Mechanics and Engineering [Dokument elektroniczny]. – 1997, Vol. ... więcej

On hp- error estimation in the BEM for a three-dimensional Helmholtz exterior problem / Andrzej Karafiat // Computer Methods in Applied Mechanics and Engineering [Dokument elektroniczny]. – 1997, Vol. 150, Iss. 1-4, s. 199-214 : rys. – Tryb dostępu: https://www.sciencedirect.com/science/article/pii/S0045782597000911. – Bibliogr. 28 poz., Abstr. – Mat. konf.: Interdisciplinary Symposium on Advances in Computational Mechanics in Honor of Professor John Tinsley Oden, Austin, Stany Zjednoczone, 12-15.01.1997. – doi: 10.1016/S0045-7825(97)00091-1. – ISSN 0045-7825

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 Helmholtz boundary-value problem with the Robin's ... więcej

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 Helmholtz 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.