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SUMMARY:A Framework for the Development of Computable Error Bounds for Fin
 ite Element Approximations - Ainsworth\, M (Brown University)
DTSTART:20120824T080000Z
DTEND:20120824T090000Z
UID:TALK39388@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We present an overview of our recent work on the development o
 f fully computable upper bounds for the discretisation error measured in t
 he natural (energy) norm for a variety of problems including linear elasti
 city\, convection-diffusion-reaction and Stokes flow in three space dimens
 ions. The upper bounds are genuine upper bounds in the sense that the actu
 al numerical value of the estimated error exceeds the actual numerical val
 ue of the true error regardless of the coarseness of the mesh or the natur
 e of the data for the problem\, and are applicable to a variety of discret
 isation schemes including conforming\, non-conforming and discontinuous Ga
 lerkin finite element schemes. All constants appearing in the bounds are f
 ully specified. Numerical examples show the estimators are reliable and ac
 curate even in the case of complicated three dimensional problems\, and ar
 e suitable for driving adaptive finite element solution algorithms.\n
LOCATION:Seminar Room 1\, Newton Institute
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