Preconditioning for a phase-field model with application to morphology evolution in organic semiconductors

  • The Cahn-Hilliard equations are a versatile model for describing the evolution of complex morphologies. In this paper we present a computational pipeline for the numerical solution of a ternary phase-field model for describing the nanomorphology of donor--acceptor semiconductor blends used in organic photovoltaic devices. The model consists of two coupled fourth-order partial differential equations that are discretized using a finite element approach. In order to solve the resulting large-scale linear systems efficiently, we propose a preconditioning strategy that is based on efficient approximations of the Schur-complement of a saddle point system. We show that this approach performs robustly with respect to variations in the discretization parameters. Finally, we outline that the computed morphologies can be used for the computation of charge generation, recombination, and transport in organic solar cells.

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Metadaten
Author:Kai Bergmann, Carsten Deibel, Roland Herzog, Roderick C. I. Mackenzie, Jan-Frederik PietschmannORCiDGND, Martin Stoll
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/102112
Parent Title (English):arXiv
Publisher:arXiv
Type:Preprint
Language:English
Year of first Publication:2022
Release Date:2023/02/20
Issue:arXiv:2204.03575
DOI:https://doi.org/10.48550/arXiv.2204.03575
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Inverse Probleme
Latest Publications (not yet published in print):Aktuelle Publikationen (noch nicht gedruckt erschienen)