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Keywords: Polytopal elements; Virtual element method; Scaled boundary method; Isogeometric methods; Finite element technology; Mesh adaptivity; Hierarchical refinement
Organizers:
Mathias Reichle (1) – reichle@lbb.rwth-aachen.de
Bjorn Sauren (1) – sauren@lbb.rwth-aachen.de
Kevin Schmitz (2) – kevin.schmitz@uni-kassel.de
Jeremias Arf (3) – arf@rhrk.uni-kl.de
Affiliations:
(1) Chair of Structural Analysis and Dynamics, RWTH Aachen University, Germany
(2) Institute of Mechanics, University of Kassel, Germany
(3) Department of Mathematics, RPTU Kaiserslautern-Landau, Germany
Abstract:
Recent technological developments in the digitization of 3D objects as well as in digital fabrication have triggered a tremendous growth in the geometric complexity of structural components. The design is no longer a purely geometric task but needs to take the desired functionality and serviceability, and thus structural analysis into account. A novel aspect of numerical analysis is the exploitation of polytopal or isogeometric discretization techniques during mesh generation and adaptive refinement. Novel finite element formulations that address these features are therefore required and offer several advantages.
For instance, polytopal meshes allow for highly localized and hierarchical mesh refinement and element agglomeration to increase the quality of the mesh and thus the solution. Additionally, they can be used to align element boundaries to the domain of interest, e.g. when considering moving boundaries or interfaces. On evolving domains or in crack propagation problems, polytopal finite element methods are used to avoid global re-meshing and can decrease the numerical effort significantly. When it comes to higher order methods, isogeometric formulations allow for a more adequate geometrical description and efficient refinement.
This minisymposium therefore focuses on modern finite element technology and discretization methods. We invite contributions to this minisymposium which can, but are not restricted to contain research on recent developments in: