Discussion
Assertion (A): A single finite element result proves nothing about its own accuracy.
Reason (R): Only refinement showing the quantity of interest settle demonstrates small discretisation error.
Select the correct answer from the options below.
Answer: A
Correct answer: Both A and R are true, and R is the correct explanation of A
Both are true and the reason states what a convergence study is for. A single run gives a number with no indication of how far it stands from the exact solution of the equations being solved. Refining the mesh and watching the quantity of interest settle is the only evidence available that the discretisation error is small - and it must be the quantity of interest, since displacements converge long before peak stresses.
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