Lulu Tian

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...