This paper summarizes the development of Veamy, an object-oriented C++ library for the virtual element method (VEM) on general polygonal meshes, whose modular design is focused on its extensibility. The linear elastostatic and Poisson problems in two dimensions have been chosen as the starting stage for the development of this library. The theory of the VEM, upon which Veamy is built, is presented using a notation and a terminology that resemble the language of the finite element method (FEM) in engineering analysis. Several examples are provided to demonstrate the usage of Veamy, and in particular, one of them features the interaction between Veamy and the polygonal mesh generator PolyMesher. A computational performance comparison between VEM and FEM is also conducted. Veamy is free and open source software.

Ortiz-Bernardin, A., Alvarez, C., Hitschfeld-Kahler, N., Russo, A., Silva-Valenzuela, R., Olate-Sanzana, E. (2019). Veamy: an extensible object-oriented C++ library for the virtual element method. NUMERICAL ALGORITHMS, 82(4), 1189-1220 [10.1007/s11075-018-00651-0].

Veamy: an extensible object-oriented C++ library for the virtual element method

Russo A.;
2019

Abstract

This paper summarizes the development of Veamy, an object-oriented C++ library for the virtual element method (VEM) on general polygonal meshes, whose modular design is focused on its extensibility. The linear elastostatic and Poisson problems in two dimensions have been chosen as the starting stage for the development of this library. The theory of the VEM, upon which Veamy is built, is presented using a notation and a terminology that resemble the language of the finite element method (FEM) in engineering analysis. Several examples are provided to demonstrate the usage of Veamy, and in particular, one of them features the interaction between Veamy and the polygonal mesh generator PolyMesher. A computational performance comparison between VEM and FEM is also conducted. Veamy is free and open source software.
Articolo in rivista - Articolo scientifico
C++; Object-oriented programming; Polygonal meshes; Virtual element method
English
15-gen-2019
2019
82
4
1189
1220
none
Ortiz-Bernardin, A., Alvarez, C., Hitschfeld-Kahler, N., Russo, A., Silva-Valenzuela, R., Olate-Sanzana, E. (2019). Veamy: an extensible object-oriented C++ library for the virtual element method. NUMERICAL ALGORITHMS, 82(4), 1189-1220 [10.1007/s11075-018-00651-0].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/297243
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