Isogeometric analysis of the Cahn–Hilliard phase-field model

By Victor Manuel Calo, Yuri Bazilevs, Thomas J. R. Hughes. 2008

659 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/7a80483260c3aee92460817c81381bdad8226a22

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In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS (2012, background): “Extensive investigations including fluid–solid interaction [3,2], the extended finite element method [5] and electromagnetics [8] have additionally demonstrated the ability of isogeometric analysis to provide not only more precise geometric representations than traditional finite elements but also e”
Isogeometric analysis using T-splines (2010, methodology): “This concept is referred to as isogeo-metric analysis, and was ﬁrst proposed in Hughes et al. [30] and further developed in [3,4,6,7,18,19,21,22,27,49,52].”
Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method (2010, methodology): “, [20] for a recent application of isogeometric analysis to phase field modeling of phase separation governed by the Cahn–Hilliard equation.”
FEAP - - A Finite Element Analysis Program (2011, background): “There are eleven (11) functions for each form, however,”
Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations (2010, methodology): “This concept has already been successfully used by the authors for the Cahn-Hilliard phase-field model [35].”
A practically unconditionally gradient stable scheme for the N-component Cahn-Hilliard system (2012, background): “There are many numerical studies with the binary CH equation [4,9,13,28–40], ternary [20,28,41–52], and quaternary [53–57] CH systems.”
Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: Geometric design and isogeometric analysis considerations (2017, methodology): “Please cite this article as: D. Toshniwal, H. Speleers, T.J.R. Hughes, Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: Geometric design and isogeometric analysis considerations, Comput.”