  In this paper, we prove the energy and cross-helicity conservation of weak
solutions to the three-dimensional ideal MHD equations in bounded domain under
the interior Besov regularity conditions which are exactly same as the
three-dimensional periodic domain case in \cite{Caflisch 97}, and the
boundedness and the Besov-type continuity for both the velocity and magnetic
fields near the boundary, which seem crucial for the bounded domain case due to
the boundary effect. Note that the Besov-type continuity condition near the
boundary is consistent with the interior Besov regularity, which is a new
condition we proposed in the present paper.
