2020
DOI: 10.48550/arxiv.2009.01596
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A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements

Abstract: In the present work, we investigate for the first time with a cut finite element method, a parameterized fourth order nonlinear geometrical PDE, namely the Cahn-Hilliard system. We manage to tackle the instability issues of such methods whenever strong nonlinearities appear and to utilize their flexibility of the fixed background geometry -and mesh-characteristic, through which, one can avoid e.g. in parametrized geometries the remeshing on the full order level, as well as, transformations to reference geometr… Show more

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