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- W2009062019 abstract "We propose new collocation methods for phase-field models. Our algorithms are based on isogeometric analysis, a new technology that makes use of functions from computational geometry, such as, for example, Non-Uniform Rational B-Splines (NURBS). NURBS exhibit excellent approximability and controllable global smoothness, and can represent exactly most geometries encapsulated in Computer Aided Design (CAD) models. These attributes permitted us to derive accurate, efficient, and geometrically flexible collocation methods for phase-field models. The performance of our method is demonstrated by several numerical examples of phase separation modeled by the Cahn-Hilliard equation. We feel that our method successfully combines the geometrical flexibility of finite elements with the accuracy and simplicity of pseudo-spectral collocation methods, and is a viable alternative to classical collocation methods." @default.
- W2009062019 created "2016-06-24" @default.
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- W2009062019 date "2014-04-01" @default.
- W2009062019 modified "2023-09-29" @default.
- W2009062019 title "Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models" @default.
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- W2009062019 doi "https://doi.org/10.1016/j.jcp.2013.12.044" @default.
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