Abstract
We present high order surface finite element methods for the linear analysis of seven-parameter shells. The special feature of these methods is that they work with the exact geometry of the shell reference surface which can be given parametrically by a global map or implicitly as the zero level-set of a level set function. Furthermore, a special treatment of singular parametrizations is proposed. For the approximation of the shell displacement parameters we have implemented arbitrary order hierarchical shape functions on quadrilateral and triangular meshes. The methods are verified by a convergence analysis in numerical experiments.
Originalsprache | englisch |
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Seiten (von - bis) | 133-145 |
Fachzeitschrift | Computational Mechanics |
DOIs | |
Publikationsstatus | Veröffentlicht - 2019 |
ASJC Scopus subject areas
- Computational Mathematics
- Maschinenbau
- Meerestechnik
- Angewandte Mathematik
- Numerische Mechanik
- Theoretische Informatik und Mathematik
Fields of Expertise
- Information, Communication & Computing