Mb. Vangijzen et al., THE FINITE-ELEMENT DISCRETIZATION FOR STREAM-FUNCTION PROBLEMS ON MULTIPLY CONNECTED DOMAINS, Journal of computational physics, 140(1), 1998, pp. 30-46
The no-normal-flow condition states that the stream-function is consta
nt at solid boundaries, For multiply connected domains these (unknown)
constants differ per boundary and must be determined from integral co
nditions. This complicates discretization and solution of the problem
considerably, In this paper we describe a simple, elegant, and systema
tic way for solving this problem within the context of a finite elemen
t discretization and apply our ideas to global ocean circulation simul
ation, (C) 1998 Academic Press.