The Conforming Virtual Element Method for Polyharmonic and Elastodynamics Problems: A Review
Capitolo di libro
Data di Pubblicazione:
2022
Citazione:
The Conforming Virtual Element Method for Polyharmonic and Elastodynamics Problems: A Review / P.F. Antonietti, G. Manzini, I. Mazzieri, S. Scacchi, M. Verani (SEMA SIMAI SPRINGER SERIES). - In: The Virtual Element Method and its Applications / [a cura di] P. F. Antonietti, L. Beirão da Veiga, G. Manzini. - [s.l] : Springer, 2022. - ISBN 978-3-030-95318-8. - pp. 411-451 [10.1007/978-3-030-95319-5_10]
Abstract:
In this chapter we review recent results on the conforming virtual element approximation of polyharmonic and eleastodynamics problems. The structure and the content of this review is motivated by three paradigmatic examples of applications: classical and anisotropic Cahn-Hilliard equation and phase field models for brittle fracture, that are briefly discussed in the first part of the chapter. We present and discuss the mathematical details of the conforming virtual element approximation of linear polyharmonic problems, the classical Cahn-Hilliard equation and linear elastodynamics problems.
Tipologia IRIS:
03 - Contributo in volume
Elenco autori:
P.F. Antonietti, G. Manzini, I. Mazzieri, S. Scacchi, M. Verani
Link alla scheda completa:
Titolo del libro:
The Virtual Element Method and its Applications