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.
Original language | English |
---|---|
Pages (from-to) | 133-145 |
Journal | Computational Mechanics |
DOIs | |
Publication status | Published - 2019 |
Keywords
- Exact geometry
- Higher order
- Implicit geometry
- Shells
- Surface finite elements
ASJC Scopus subject areas
- Computational Mathematics
- Mechanical Engineering
- Ocean Engineering
- Applied Mathematics
- Computational Mechanics
- Computational Theory and Mathematics
Fields of Expertise
- Information, Communication & Computing