Veamy: an extensible object-oriented C++ library for the virtual element method. 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.
Keywords for this software
References in zbMATH (referenced in 5 articles , 2 standard articles )
Showing results 1 to 5 of 5.
- Yue Yu: mVEM: A MATLAB Software Package for the Virtual Element Methods (2022) arXiv
- Adak, D.; Natarajan, S.: Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique (2020)
- Mengolini, Michael; Benedetto, Matías F.; Aragón, Alejandro M.: An engineering perspective to the virtual element method and its interplay with the standard finite element method (2019)
- Ortiz-Bernardin, A.; Alvarez, C.; Hitschfeld-Kahler, N.; Russo, A.; Silva-Valenzuela, R.; Olate-Sanzana, E.: Veamy: an extensible object-oriented C++ library for the virtual element method (2019)
- Alejandro Ortiz-Bernardin, Catalina Alvarez, Nancy Hitschfeld-Kahler, Alessandro Russo, Rodrigo Silva-Valenzuela, Edgardo Olate-Sanzana: Veamy: an extensible object-oriented C++ library for the virtual element method (2017) arXiv