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An Adaptive HP-Version in the Finite Element Method

In: Numerical Techniques for Engineering Analysis and Design

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  • Ernst Rank

    (Technische Universität München, Fachgebiet El. Rechnen im konstruktiven Ingenieurbau
    SIEMENS AG, Corporate Research and Technology)

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.

Suggested Citation

  • Ernst Rank, 1987. "An Adaptive HP-Version in the Finite Element Method," Springer Books, in: G. N. Pande & J. Middleton (ed.), Numerical Techniques for Engineering Analysis and Design, chapter 0, pages 619-626, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-3653-9_69
    DOI: 10.1007/978-94-009-3653-9_69
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