An Adaptive HP-Version in the Finite Element Method

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Ernst Rank: Technische Universität München, Fachgebiet El. Rechnen im konstruktiven Ingenieurbau

Chapter S11 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 619-626 from Springer

Abstract: Summary Adaptivity is now widely accepted in finite element methods. Most adaptive codes refine the finited element mesh locally controlled by some a posteriori estimation. In this paper an adaptive hp-version is presented. The algorithm increases the polynomial degree p and refines the finite element mesh,i.e. decreases the local mesh-width h. Numerical examples show that even in presence of singularities in the exact solution exponential rate of convergence is obtained.

Keywords: Finite Element Method; Stress Intensity Factor; Polynomial Degree; Energy Norm; Fixed Mesh (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3653-9_69

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DOI: 10.1007/978-94-009-3653-9_69

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