Convergence of Hierarchical Finite Elements

Jürgen Bellmann
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Jürgen Bellmann: Technische Universität München, Fachgebiet Elektronisches Rechnen im konstruktiven Ingenieurbau

Chapter D14 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 119-125 from Springer

Abstract: Abstract In finite-element-analysis, a new generation of programs is arrising, helping the engineer to obtain solutions with higher accuracy. The aim of these programs is to reduce the approximation error automatically. Thus it becomes necessary to get aposteriori information on the magnitude of the error and its distribution over the mesh. Among the two different types of adaptive procedures (h- and p- version), the variation of the polynomial order (p-version) for plate problems is discussed in this paper. In particular the behavior of the hierarchical elements noticeably deviating from the rectangular shape is examined.

Keywords: Posteriori Error; Polynomial Order; Error Indicator; Plate Problem; Adaptive Refinement (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-94-009-3653-9_14

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