A guide to the design of the virtual element methods for second- and fourth-order partial differential equations

A guide to the design of the virtual element methods for second- and fourth-order partial differential equations

We discuss the design and implementation details of two conforming virtual element methods for the numerical approximation of two partial differential equations that emerge in phase-field modeling of fracture propagation in elastic material. The two partial differential equations are: (i) a linear h...

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Bibliographic Details
Main Authors:	Yu Leng, Lampros Svolos, Dibyendu Adak, Ismael Boureima, Gianmarco Manzini, Hashem Mourad, Jeeyeon Plohr
Format:	Article
Language:	English
Published:	AIMS Press 2023-11-01
Series:	Mathematics in Engineering
Subjects:	fracture mechanics high-order phase field models virtual element method arbitrary-order approximations
Online Access:	https://www.aimspress.com/article/doi/10.3934/mine.2023100?viewType=HTML

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