On mesh refinement procedures for polygonal virtual elements
van Huyssteen D, Rivarola FL, Etse G, Steinmann P (2025)
Publication Type: Journal article
Publication year: 2025
Journal
Book Volume: 22
Article Number: 100222
DOI: 10.1016/j.apples.2025.100222
Abstract
This work concerns the application of adaptive refinement procedures to meshes of unstructured polygonal virtual elements. Adaptive refinement indicators previously proposed by the authors, and investigated for meshes of structured quadrilateral elements, are studied in more general applications. Specifically, the performance of the indicators is studied on unstructured polygonal meshes, and for cases of compressible and nearly-incompressible materials. Localized refinement of unstructured meshes is a non-trivial task as the algorithm must be robust, and must accommodate a wide variety of geometric possibilities. To this end, an element refinement algorithm is presented based on strategic seeding of Voronoi tessellations and is suitable for both structured and unstructured meshes. Furthermore, it is not known apriori whether the previously proposed refinement indicators will be reliable or effective in the presence of unstructured mesh geometries and nearly-incompressible materials. Thus, the performance of the refinement procedures is studied through a broad numerical campaign. The results demonstrate that the high degree of efficacy and efficiency previously exhibited by the adaptive procedures is also achieved in the cases of irregular unstructured/Voronoi meshes and near-incompressibility.
Authors with CRIS profile
Daniel van Huyssteen
Lehrstuhl für Technische Mechanik (LTM)
Paul Steinmann
Lehrstuhl für Technische Mechanik (LTM)
Involved external institutions
Argentina (AR)How to cite
APA:
van Huyssteen, D., Rivarola, F.L., Etse, G., & Steinmann, P. (2025). On mesh refinement procedures for polygonal virtual elements. Applications in Engineering Science, 22. https://doi.org/10.1016/j.apples.2025.100222
MLA:
van Huyssteen, Daniel, et al. "On mesh refinement procedures for polygonal virtual elements." Applications in Engineering Science 22 (2025).
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