A GENERALIZED FINITE-ELEMENT METHOD FOR SOLVING THE HELMHOLTZ-EQUATION IN 2 DIMENSIONS WITH MINIMAL POLLUTION

Authors
BABUSKA I IHLENBURG F PAIK ET SAUTER SA
Citation
I. Babuska et al., A GENERALIZED FINITE-ELEMENT METHOD FOR SOLVING THE HELMHOLTZ-EQUATION IN 2 DIMENSIONS WITH MINIMAL POLLUTION, Computer methods in applied mechanics and engineering, 128(3-4), 1995, pp. 325-359
Citations number
9
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
128
Issue
3-4
Year of publication
1995
Pages
325 - 359
Database
ISI
SICI code
0045-7825(1995)128:3-4<325:AGFMFS>2.0.ZU;2-K
Abstract
When using the Galerkin FEM for solving the Helmholtz equation in two dimensions, the error of the corresponding solution differs substantia lly from the error of the best approximation, and this effect increase s with higher wave number k. In this paper we will design a Generalize d Finite Element Method (GFEM) for the Helmholtz equation such that th e pollution effect is minimal.