A computer-assisted method for the diblock copolymer model

Shuting Cai, Yoshitaka Watanabe

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)

    Abstract

    We propose a computer-assisted method by which to enclose a solution of the diblock copolymer model. We begin by using the Newton method to obtain a solution, and we then prove that the residual part of the approximation is a fixed point of a compact operator. Next, using a computer, we construct a set which satisfies the hypothesis of the Banach fixed-point theorem for the operator in a certain Sobolev space, which therefore contains a unique solution. Finally, we present some verified results.

    Original languageEnglish
    Article numbere201800125
    JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
    Volume99
    Issue number7
    DOIs
    Publication statusPublished - Jul 2019

    All Science Journal Classification (ASJC) codes

    • Computational Mechanics
    • Applied Mathematics

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