  This paper discusses the finite element method for the Yang-Mills equations
with temporal gauge. The new contributions reported in this paper are
threefold: an efficient linearized strategy for the Lie bracket $[A, A]$ is
introduced, the novel implicit scheme in time for the Yang-Mills equations
based on the above linearized strategy is presented, which preserves the
conservation of its discrete energy and the error estimates for the
semi-discrete scheme and the linearized scheme are proved. Finally, numerical
test studies are then carried out to confirm the theoretical results.
