CFD 17 : Elliptical Equations

The elliptic equations do not have real characteristics at all. Effect of any perturbation is felt immediately and to full degree in the entire domain of solution. There are no limited domains of influence or dependence

Physically, the elliptic systems describe equilibrium distributions of properties in spatial domains with boundary conditions

The elliptic PDE problems are always of equilibrium type. The solution has to be found at once in the entire domain space.