La. Ying, VORTEX METHOD FOR 2-DIMENSIONAL EULER EQUATIONS IN BOUNDED DOMAINS WITH BOUNDARY CORRECTION, Mathematics of computation, 67(224), 1998, pp. 1383-1400
The vortex method for the initial-boundary value problems of the Euler
equations for incompressible flow is studied. A boundary correction t
echnique is introduced to generate second order accuracy. Convergence
and error estimates are proved.