Patch test (finite elements): Difference between revisions

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{{see also|Patch test (medicine)}}

The '''patch test''' in the [[finite element method]] is a simple indicator of the quality of a finite element, developed by [[Bruce Irons (engineer)|Bruce Irons]].

The patch test uses a [[partial differential equation]] on a ___domain consisting from several elements set up so that the exact solution is known. Typically, in [[mechanics]], the prescribed exact solution consists of displacements that vary as linear functions in space (called a constant [[Strain (materials science)|strain]] solution). The elements pass the patch test if the finite element solution is the same as the exact solution.<ref>{{cite book|last=Zienkiewicz |first=O. C.|authorlink=Olgierd Zienkiewicz|coauthors=R. L. Taylor, J. Z. Zhu|title=The Finite Element Method: Its Basis and Fundamentals|publisher=[[Butterworth-Heinemann]]|date=May 2005|edition=6|isbn=0-7506-6320-0|accessdate=2009-08-09|language=English}}</ref>