Question

For a governing equation, what does one conclude from the weak formulation if it does not contain boundary integral involving weight function?

(a) Integration by parts is used

(b) Integration by parts is not used

(c) The weight function is as a primary variable

(d) The weight function is to be made continuous across inter-element boundaries

I had been asked this question by my college director while I was bunking the class.

I want to ask this question from Velocity topic in portion Flows of Viscous Incompressible Fluids of Finite Element Method

Answer 1

Correct choice is (b) Integration by parts is not used

For explanation I would say: For a governing equation, the weak formulation does not contain boundary integral if there is no integration by parts used, this implies that the weight function is not a primary variable but a part of the secondary variables, this, in turn, requires that the weight function is not to be made continuous across inter-element boundary.