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Discussion

A student claims that because the finite element model converged, it must be correct. The claim is

  • A.Correct provided the mesh is fine enough
  • B.Correct only for linear problems
  • C.Too strong; convergence is not validity
  • D.Correct

Answer: C

Correct answer: Too strong; convergence is not validity

Convergence shows that the equations the model poses have been solved accurately, and nothing more. If the idealisation is wrong, the boundary conditions unrepresentative or the loads mistaken, refinement converges faithfully on the wrong answer. Verification - are the equations solved correctly? - and validation - are they the right equations? - are separate questions, and convergence addresses only the first.

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