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Line 4: It was long conjectured by engineers that passing the patch test is sufficient for the convergence of the finite element, that is, to ensure that the solutions from the finite element method converge to the exact solution of the [[partial differential equation]] as the finite element mesh is refined. However, this is not the case, and the patch test is neither sufficient nor necessary for convergence.<ref>{{cite book\|last=Bathe\|first=Klaus-Jürgen\|coauthors=\|title=Finite Element Procedures\|publisher=[[Prentice Hall]]\|date=June 1995\|edition=2\|isbn=097900490X\|accessdate=2009-08-09\|language=English}}</ref> ==References==

Patch test (finite elements): Difference between revisions