  We study finite-dimensional respresentations of twisted current algebras and
show that any graded twisted Weyl module is isomorphic to level one Demazure
module for the twisted affine Kac-Moody algebra. Using the tensor product
property of Demazure modules, we obtain, by analyzing the fundamental Weyl
modules, dimension and character formulas. Moreover we prove that graded
twisted Weyl modules can be obtained by taking the associated graded modules of
Weyl modules for the loop algebra, which implies that its dimension and
classical character are independent of the support and depend only on its
classical highest weight. These results were known before for untwisted current
algebras and are new for all twisted types.
