An energy-stable time-integrator for phase-field models

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An energy-stable time-integrator for phase-field models

We introduce a provably energy-stable time-integration method for general classes of phase-field models with polynomial potentials. We demonstrate how Taylor series expansions of the nonlinear terms present in the partial differential equations of these models can lead to expressions that guarantee...

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Bibliographic Details
Main Authors:	Vignal, P., Collier, N., Dalcin, L., Brown, Donald, Calo, V.M.
Format:	Article
Published:	Elsevier 2017
Subjects:	Phase-field models; PetIGA; High-order partial differential equation; Mixed finite elements; Isogeometric analysis; Time integration
Online Access:	https://eprints.nottingham.ac.uk/41460/

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