  We propose a numerical strategy to generate the anisotropic meshes and select
the appropriate stabilized parameters simultaneously for two dimensional
convection-dominated convection-diffusion equations by stabilized continuous
linear finite elements. Since the discretized error in a suitable norm can be
bounded by the sum of interpolation error and its variants in different norms,
we replace them by some terms which contain the Hessian matrix of the true
solution, convective fields, and the geometric properties such as directed
edges and the area of the triangle. Based on this observation, the shape, size
and equidistribution requirements are used to derive the corresponding metric
tensor and the stabilized parameters. It is easily found from our derivation
that the optimal stabilized parameter is coupled with the optimal metric tensor
on each element. Some numerical results are also provided to validate the
stability and efficiency of the proposed numerical strategy.
