Question

The solution technique used to solve elliptic equations should ___________

(a) allow each point to be influenced by its boundary-side neighbours

(b) allow each point to be influenced by its west neighbour

(c) allow each point to be influenced by its east neighbour

(d) allow each point to be influenced by all its neighbours

This question was posed to me during an interview.

The origin of the question is Mathematical Behaviour of PDE topic in division Mathematical Behaviour of Partial Differential Equations of Computational Fluid Dynamics

Answer 1

Right option is (d) allow each point to be influenced by all its neighbours

For explanation I would say: The solution technique of any problem should depend upon the type of the problem. Elliptic problems are influenced by all points in its domain. So, the solution technique should also allow all of its neighbours to influence each point.