Upwind-mixed methods for transport equations

摘要: In this paper, we continue our analysis of upwind‐mixed methods for advection–diffusion equations, which have been developed and analyzed by the first author over past several years. previous work, has limited to low order approximating spaces, positive definite diffusion coefficients Dirichlet boundary conditions. extend results higher possibly zero diffusion, more physically realistic Moreover, unlike papers, avoid use Gronwall's Inequality, can result in extremely large constants stability error bounds. Numerical are presented constant, linear quadratic spaces.