  Method of compensated compactness is used to show that the almost everywhere
limit of quasilinear viscous approximations is the unique entropy solution (in
the sense of {\it Bardos et.al}\cite{MR542510}) of the corresponding scalar
conservation laws in a bounded domain in $\mathbb{R}^{d}$, where the viscous
term is of the form $\varepsilon div\left(B(u^{\varepsilon})\nabla
u^{\varepsilon}\right)$.
