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Analysis of a finite element formulation for modelling phase separation


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Publication Date: 2007

ISBN: 978-1-4020-6529-3

Publisher: Springer

Language: English

Type: Book or Book Chapter

Metadata: Show full item record

Citation: Wells, G. N., & Garikipati, K. (2007). Analysis of a finite element formulation for modelling phase separation. http://www.dspace.cam.ac.uk/handle/1810/221727

Description: In Combescure, A., De Borst, R., and Belytschko, T., editors, IUTAM Symposium on Discretization Methods for Evolving Discontinuities, volume 5 of IUTAM Bookseries, pages 89–102. Springer.

Abstract: The Cahn-Hilliard equation is of importance in materials science and a range of other fields. It represents a diffuse interface model for simulating the evolution of phase separation in solids and fluids, and is a nonlinear fourth-order parabolic equation, which makes its numerical solution particularly challenging. To this end, a finite element formulation has been developed which can solve the Cahn-Hilliard equation in its primal form using C^0 basis functions. Here, analysis of a fully discrete version of this method is presented in the form of a priori uniqueness, stability and error analysis.

Keywords: Cahn-Hilliard equation, discontinuous Galerkin method, phase separation

Identifiers:

This record's URL: http://www.dspace.cam.ac.uk/handle/1810/221727





Autor: Wells, G NGarikipati, Krishna

Fuente: https://www.repository.cam.ac.uk/handle/1810/221727



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