A second-order accurate numerical method with unconditional energy stability for the Lifshitz–Petrich equation on curved surfaces

In this paper, we introduce an efficient numerical algorithm for solving the Lifshitz–Petrich equation on closed surfaces. The algorithm involves discretizing the surface with a triangular mesh, allowing for an explicit definition of the Laplace–Beltrami operator based on the neighborhood informatio...

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Vydáno v:	Applied mathematics letters Ročník 163; s. 109439
Hlavní autoři:	Hu, Xiaochuan, Xia, Qing, Xia, Binhu, Li, Yibao
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Ltd 01.04.2025
Témata:	Curved surfaces Lifshitz–Petrich crystal model Second-order algorithm Unconditional stability Curved surfaces Unconditional stability Lifshitz–Petrich crystal model Second-order algorithm
ISSN:	0893-9659
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