VECTOR POTENTIALS IN 3-DIMENSIONAL NONSMOOTH DOMAINS

This paper presents several results concerning the vector potential wh ich can be associated with a divergence-free function in a bounded thr ee-dimensional domain. Different types of boundary conditions are give n, for which the existence, uniqueness and regularity of the potential are studied. This is applied firstly to the finite element discretiza tion of these potentials and secondly to a new formulation of incompre ssible viscous flow problems. (C) 1998 B. G. Teubner Stuttgart-John Wi ley & Sons, Ltd.