Numerical solution of convection-diffusion equations using upwinding techniques satisfying the discrete maximum principle

Abstract

We discuss the application of the finite element method to the numerical solution of scalar two-dimensional steady convection-diffusion equations with the emphasis on upwinding techniques satisfying the discrete maximum principle.

Keywords

• Numerical
• solution
• convection-diffusion
• equations
• using
• upwinding
• techniques
• satisfying
• discrete
• maximum
• principle