SIAM Journal on Applied Mathematics, Vol. 70, No. 3 (2009), pp. 658-676 (19 pages) A mixed formulation is proposed and analyzed mathematically for coupled convection-diffusion in heterogeneous medias.

The application of a standard Galerkin finite element method for convection-diffusion problems leads to oscillations in the discrete solution, therefore stabilization seems to be necessary. We discuss ...

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

The study of pattern formation in reaction-diffusion systems and convection dynamics has opened new avenues for understanding how complex spatial structures arise from relatively simple underlying ...