A local discontinuous Galerkin method for the compressible Reynolds lubrication equation

摘要

We present an extension of the local discontinuous Galerkin (LDG) method introduced in [9] for nonlinear diffusion problems to nonlinear stationary convection–diffusion problems. We develop a numerical study of the convergence properties of the new method and solve the stationary compressible Reynolds lubrication equation under some realistic conditions.