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Session Chair: Stefanie Reese, RWTH Aachen University Session Chair: Carolin Birk, Universität Duisburg-Essen
Location:Auditorium Wolfsburg
Presentations
C0-IPM with generalized periodicity and application to flexoelectricity-based metamaterials
Sonia Fernández-Méndez1, Oscar Balcells-Quintana1, David Codony1, Abel Gargallo-Peiró2, Irene Arias1
1Universitat Politècnica de Catalunya (UPC), Spain; 2Barcelona Supercomputing Center (BSC), Spain
We propose a methodology to implement generalised periodicity conditions in the solution of fourth-order PDE boundary value problems, in the framework of the C0 interior penalty method [1]. The methodology is developed for the analysis of flexoelectricity-based metamaterial unit cells, formalising the corresponding problem statement and weak form, and giving details on the implementation of the local and macro conditions for generalised periodicity. Numerical examples demonstrate the high-order convergence of the method and its applicability in realistic problem settings.
References
[1] O. Balcells-Quintana, D. Codony and S. Fernández-Méndez, “C0-IMP with generalized periodicity and application to flexoelectricity-based metamaterials”, Journal of Scientific Computing (2022)
This work was supported by the European Research Council (StG-679451 to I.A.), the Spanish Ministry of Economy and Competitiveness (RTI2018-101662-B-I00) and through the “Severo Ochoa Programme for Centres of Ex- cellence in R&D” (CEX2018-000797-S), and the Generalitat de Catalunya (ICREA Academia award for excellence in research to I.A., and Grant No. 2017-SGR-1278). D.C. acknowledges the support of the Spanish Ministry of Universities through the Margarita Salas fellowship (European Union-NextGenerationEU)
