Mesh analysis is a method to solve a circuit. when a circuit is planer then mesh analysis can be applied in this circuit otherwise it can not be applied. For non planer circuit nodal analysis can help to determine current or voltage. Mesh analysis reduces the equations to get current.

In Mesh analysis you are using the values of the currents within a certain part of a circuit. In Node Analysis, you are observing the voltage at a certain point.

for fea analysis :)

instead of using mesh loop analysis, because most calculators don't operate in variable and complex mode at the same time, you have to use substitution.

A: Have you try thevenin ?