We propose a discontinuous Galerkin method for fractional convection-diffusion equations with a superdiffusion operator of order α(1 < α < 2) defined through the fractional Laplacian. The fractional ...

This is a preview. Log in through your library . Abstract We consider discretizations of convection dominated nonstationary convection-diffusion equations by A-stable θ-schemes in time and conforming ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

Multilevel projection methods for first-order system least squares. On some applications of a general multigrid methodology for reformulating PDEs as well-posed minimization problems. T. Manteuffel ...