TY  - THES
T1  - A Hybrid Nodal-Element-Based Discretization Method
A1  - Constantiniu,Alexandru
Y1  - 2010/12/17
N2  - To overcome the difficulties associated with remeshing in moving boundaries or large deformations problems, the past decade has seen a tremendous surge in the development of a new family of Galerkin meshless methods. In parallel, meshing techniques using irregular node distributions have been a subject of intense research. Latest advancements in the construction of interpolants have allowed the use of new building blocks for tessellations and cleared the path towards polygonal finite elements.
In this work we propose a hybrid nodal/element-based discretization method which needs no predefined connectivity between the nodes and uses an adapted and optimal polyhedral tessellation. Computationally convenient shape functions based on generalized barycentric coordinates are used to interpolate inside the polygonal elements. A stabilized nodal integration scheme is applied over the representative domains around the nodes.
This novel discretization scheme can be placed at the border between classical finite elements and meshless methods. It can be seen as an extension of the Finite Element Method with which it overlaps for simplices and regular node distributions.
KW  - Finite-Elemente-Methode
KW  - Gitterfreie Methode
KW  - Galerkin-Methode
CY  - Erlangen
PB  - Universitätsbibliothek der Universität Erlangen-Nürnberg
AD  - Universitätsstraße. 4, 91054 Erlangen
L2  - http://www.opus.ub.uni-erlangen.de/opus/volltexte/2010/2153
ER  -