On the virtual element method for topology optimization on polygonal meshes: A numerical study
Articolo
Data di Pubblicazione:
2017
Citazione:
On the virtual element method for topology optimization on polygonal meshes: A numerical study / P.F. Antonietti, M. Bruggi, S. Scacchi, M. Verani. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - 74:5(2017 Sep 01), pp. 1091-1109.
Abstract:
It is well known that the solution of topology optimization problems may be affected both by the geometric properties of the computational mesh, which can steer the minimization process towards local (and non-physical) minima, and by the accuracy of the method employed to discretize the underlying differential problem, which may not be able to correctly capture the physics of the problem. In light of the above remarks, in this paper we consider polygonal meshes and employ the virtual element method (VEM) to solve two classes of paradigmatic topology optimization problems, one governed by nearly-incompressible and compressible linear elasticity and the other by Stokes equations. Several numerical results show the virtues of our polygonal VEM based approach with respect to more standard methods.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Linear elasticity; Stokes equations; Topology optimization; Virtual element method; Modeling and Simulation; Computational Theory and Mathematics; Computational Mathematics
Elenco autori:
P.F. Antonietti, M. Bruggi, S. Scacchi, M. Verani
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