Question

Which of these statements is true for elliptic equations?

(a) The solution can be approximated in some of the points

(b) The solution can be marched from some initial conditions

(c) The solution at all points must be carried out simultaneously

(d) The solution process should be carried out simultaneously for some region and then marching can be done

The question was posed to me by my college professor while I was bunking the class.

I want to ask this question from Mathematical Behaviour of PDE in portion Mathematical Behaviour of Partial Differential Equations of Computational Fluid Dynamics

Answer 1

Correct answer is (c) The solution at all points must be carried out simultaneously

The best I can explain: Any change at any point in the domain of elliptic equation influences all other points. So, the solution process should be carried out simultaneously and it cannot be marched.