AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations

AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations

Year:    2024

Author:    Zhenning Cai, Yun Chen, Yana Di, Guanghui Hu, Ruo Li, Wenbin Liu, Heyu Wang, Fanyi Yang, Chengbao Yao, Hongfei Zhan

Communications in Computational Physics, Vol. 36 (2024), Iss. 1 : pp. 274–318

Abstract

AFEPack is a general-purpose C++ library for numerical solutions of partial differential equations. With over two decades development, AFEPack has been successfully applied for scientific and engineering computational problems in a variety of areas such as computational fluid dynamics, electronic structure calculations, computational micromagnetics. In this paper, design philosophy of the library, algorithms and data structures used in the discretization of governing equations, numerical linear algebra for the discretized system, as well as the pre-processing and post-processing of the simulations, will be described systematically for the AFEPack. The realization of two main features of the library, i.e., adaptive mesh methods and parallel computing, will be introduced in detail. The potential of the library for large scale scientific/engineering problems would be demonstrated by several examples. The future works on developing the library will also be discussed.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2024-0027

Communications in Computational Physics, Vol. 36 (2024), Iss. 1 : pp. 274–318

Published online:    2024-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    45

Keywords:    AFEPack C++ library partial differential equations scientific/engineering computing software.

Author Details

Zhenning Cai

Yun Chen

Yana Di

Guanghui Hu

Ruo Li

Wenbin Liu

Heyu Wang

Fanyi Yang

Chengbao Yao

Hongfei Zhan