<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this work, we consider a system of coupled Cahn-Hilliard equations describing the phase separation of a copolymer and a homopolymer blend. We propose some numerical methods to approximate the solution of the system which are based on suitable combinations of existing schemes for the single Cahn-Hilliard equation. As a verification for our experimental approach, we present some tests and a detailed description of the numerical solutions’ behaviour obtained by varying the values of the system’s characteristic parameters.</p>
</abstract>

In this work, we consider a system of coupled Cahn-Hilliard equations describing the phase separation of a copolymer and a homopolymer blend. We propose some numerical methods to approximate the solution of the system which are based on suitable combinations of existing schemes for the single Cahn-Hilliard equation. As a verification for our experimental approach, we present some tests and a detailed description of the numerical solutions’ behaviour obtained by varying the values of the system’s characteristic parameters.

Numerical methods for a system of coupled Cahn-Hilliard equations

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Numerical methods for a system of coupled Cahn-Hilliard equations"}

In this work, we consider a system of coupled Cahn-Hilliard equations describing the phase separation of a copolymer and a homopolymer blend. We propose some...

Numerical methods for a system of coupled Cahn-Hilliard equations

Published Online: Mar 30, 2021

Page range: 1 - 12

Received: Oct 08, 2020

Accepted: Mar 16, 2021

DOI: https://doi.org/10.2478/caim-2021-0001

Keywords
Coupled Cahn-Hilliard equation, Finite Element Method, phase separation model

© 2021 Mattia Martini et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Numerical methods for a system of coupled Cahn-Hilliard equations

Published Online: Mar 30, 2021

Page range: 1 - 12

Received: Oct 08, 2020

Accepted: Mar 16, 2021

DOI: https://doi.org/10.2478/caim-2021-0001

KeywordsCoupled Cahn-Hilliard equation, Finite Element Method, phase separation model

© 2021 Mattia Martini et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Coupled Cahn-Hilliard equation, Finite Element Method, phase separation model