Authors
Citation
Pw. Zhang, CONVERGENCE OF VORTEX METHODS IN A BOUNDED DOMAIN USING LINEAR FINITE-ELEMENTS, IMA journal of numerical analysis, 16(4), 1996, pp. 539-548
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
02724979
Volume
16
Issue
4
Year of publication
1996
Pages
539 - 548
Database
ISI
SICI code
0272-4979(1996)16:4<539:COVMIA>2.0.ZU;2-8
Abstract
In this work, the vortex method for the initial boundary value problem
of Euler's equation is considered. We analyze linear finite element m
ethods to solve the Poisson equation, which require less operations to
compute the velocity field from the vorticity. We prove that the rate
of convergence of the linear finite element scheme is independent of
the vortex blob parameters.