Optimal design of chemoepitaxial guideposts for the directed self-assembly of block copolymer systems using an inexact Newton algorithm

DOI10.1016/j.jcp.2023.112101arXiv2208.01193OpenAlexW4361249147MaRDI QIDQ6158089

Omar Ghattas, J. Tinsley Oden, Dingcheng Luo, Lianghao Cao, Unnamed Author

Publication date: 31 May 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.01193

zbMATH Keywords

optimal designinexact Newton methodPDE-constrained optimizationblock copolymersnonlocal Cahn-Hilliard modeldirected self-assembly

Mathematics Subject Classification ID

Mathematical programming (90Cxx) Functions of one variable (26Axx) Numerical analysis (65-XX)

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• A First Course in Sobolev Spaces
• A Globally Convergent Modified Newton Method for the Direct Minimization of the Ohta--Kawasaki Energy with Application to the Directed Self-Assembly of Diblock Copolymers
• hIPPYlib
• 2D Phase Diagram for Minimizers of a Cahn–Hilliard Functional with Long-Range Interactions

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