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

被引：0

作者：

A. Ortiz-Bernardin

C. Alvarez

N. Hitschfeld-Kahler

A. Russo

R. Silva-Valenzuela

E. Olate-Sanzana

机构：

[1] Universidad de Chile,Department of Mechanical Engineering

[2] Universidad de Chile,Computational and Applied Mechanics Laboratory, Center for Modern Computational Engineering, Facultad de Ciencias Físicas y Matemáticas

[3] Universidad de Chile,Department of Computer Science

[4] Universidad de Chile,Meshing for Applied Science Laboratory, Center for Modern Computational Engineering, Facultad de Ciencias Físicas y Matemáticas

[5] Università di Milano-Bicocca,Dipartimento di Matematica e Applicazioni

[6] Istituto di Matematica Applicata e Tecnologie Informatiche del CNR,undefined

来源：

Numerical Algorithms | 2019年 / 82卷

关键词：

Virtual element method; Polygonal meshes; Object-oriented programming; C++;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：1189 / 1220

页数：31

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