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Analysis of a finite element formulation for modelling phase separation

dc.creatorWells, G N
dc.creatorGarikipati, Krishna
dc.description.abstractThe 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.
dc.subjectCahn-Hilliard equation
dc.subjectdiscontinuous Galerkin method
dc.subjectphase separation
dc.titleAnalysis of a finite element formulation for modelling phase separation
dc.typeBook or Book Chapter

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