G1-Interpolation and geometry reconstruction for higher order finite elements

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

4 Scopus Citations
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Author(s)

  • L. Demkowicz
  • P. Gatto
  • W. Qiu
  • A. Joplin

Detail(s)

Original languageEnglish
Pages (from-to)1198-1212
Journal / PublicationComputer Methods in Applied Mechanics and Engineering
Volume198
Issue number13-14
Publication statusPublished - 1 Mar 2009
Externally publishedYes

Abstract

The paper proposes a new G1-interpolation and geometry reconstruction scheme for regular surfaces approximated with unstructured quadrilateral grids. The parametrization is based on C1 transfinite interpolation and sixth order polynomials. The G1-conforming approximation of surfaces guarantees continuity of surface normals and it is critical for higher order finite and boundary element discretizations on curvilinear domains. The proposed interpolation-reconstruction scheme is illustrated with a number of numerical examples including the geometry of human head. © 2008 Elsevier B.V. All rights reserved.

Research Area(s)

  • Geometry reconstruction, Higher order finite elements

Citation Format(s)

G1-Interpolation and geometry reconstruction for higher order finite elements. / Demkowicz, L.; Gatto, P.; Qiu, W. et al.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 198, No. 13-14, 01.03.2009, p. 1198-1212.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review