Stability and Error Estimates of Local Discontinuous Galerkin Methods for Convection-Diffusion Equations in Polar Coordinates
In this paper, we develop a local discontinuous Galerkin (LDG) method for convection-diffusion equations in polar coordinates and derive the stability and error estimates. Since the PDEs in polar coordinates differ from those in Cartesian coordinates, the inner products and norms need to be modified accordingly. To per...