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dc.contributor.authorVignal, P.
dc.contributor.authorDalcin, L.
dc.contributor.authorBrown, D.
dc.contributor.authorCollier, N.
dc.contributor.authorCalo, Victor
dc.identifier.citationVignal, P. and Dalcin, L. and Brown, D. and Collier, N. and Calo, V. 2015. An energy-stable convex splitting for the phase-field crystal equation. Computers and Structures. 158: pp. 355-368.

The phase-field crystal equation, a parabolic, sixth-order and nonlinear partial differential equation, has generated considerable interest as a possible solution to problems arising in molecular dynamics. Nonetheless, solving this equation is not a trivial task, as energy dissipation and mass conservation need to be verified for the numerical solution to be valid. This work addresses these issues, and proposes a novel algorithm that guarantees mass conservation, unconditional energy stability and second-order accuracy in time. Numerical results validating our proofs are presented, and two and three dimensional simulations involving crystal growth are shown, highlighting the robustness of the method.

dc.publisherElsevier Limited
dc.titleAn energy-stable convex splitting for the phase-field crystal equation
dc.typeJournal Article
dcterms.source.titleComputers and Structures
curtin.departmentDepartment of Applied Geology
curtin.accessStatusOpen access

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