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

doi:10.4208/cicp.OA-2024-0027

IMR OpenIR

	AFEPack: A General-Purpose C plus plus Library for Numerical Solutions of Partial Differential Equations
	Cai, Zhenning 1; Chen, Yun 2; Di, Yana 3,4; Hu, Guanghui 5; Li, Ruo 6,7; Liu, Wenbin 8; Wang, Heyu 9; Yang, Fanyi 1,10; Yao, Chengbao 1,11; Zhan, Hongfei 1,2,12
通讯作者	Hu, Guanghui(garyhu@um.edu.mo) ; Li, Ruo(rli@math.pku.edu.cn)
	2024-07-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	36 期号:1 页码:274-318
摘要	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.
关键词	AFEPack C plus plus library partial differential equations scientific/engineering comput- ing software
资助者	Academic Research Fund of the Ministry of Education of Singapore ; National Natural Science Foundation of China ; Guangdong Key Laboratory ; Science and Technology Development Fund, Macao SAR ; BNU-HKBU United International College ; China Postdoctoral Science Foundation
DOI	10.4208/cicp.OA-2024-0027
收录类别	SCI
语种	英语
资助项目	Academic Research Fund of the Ministry of Education of Singapore[A-0008592-00-00] ; National Natural Science Foundation of China[12271048] ; National Natural Science Foundation of China[12171042] ; National Natural Science Foundation of China[11922120] ; National Natural Science Foundation of China[12201442] ; National Natural Science Foundation of China[11971041] ; Guangdong Key Laboratory[2022B1212010006] ; Science and Technology Development Fund, Macao SAR[001/2024/SKL] ; Science and Technology Development Fund, Macao SAR[0082/2020/A2] ; BNU-HKBU United International College[202026] ; China Postdoctoral Science Foundation[2023M740107]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:001279112300010
出版者	GLOBAL SCIENCE PRESS
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/188551
专题	中国科学院金属研究所
通讯作者	Hu, Guanghui; Li, Ruo
作者单位	1.Natl Univ Singapore, Dept Math, Singapore, Singapore 2.Chinese Acad Sci, Inst Met Res, Shenyang Natl Lab Mat Sci, Shenyang, Liaoning, Peoples R China 3.Beijing Normal Univ, Res Ctr Math, Zhuhai, Peoples R China 4.BNU HKBU United Int Coll, Guangdong Key Lab IRADS, Zhuhai, Peoples R China 5.Univ Macau, State Key Lab Internet Things Smart City, Macau, Peoples R China 6.Peking Univ, LMAM & Sch Math Sci, CAPT, Beijing, Peoples R China 7.Peking Univ, Chongqing Res Inst Big Data, Chongqing, Peoples R China 8.Zhejiang Univ, Sch Math Sci, Hangzhou, Zhejiang, Peoples R China 9.Sichuan Univ, Sch Math, Chengdu, Peoples R China 10.Peking Univ, Sch Math Sci, Beijing, Peoples R China 11.Northwest Inst Nucl Technol, Xian, Shaanxi, Peoples R China 12.Peking Univ, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Cai, Zhenning,Chen, Yun,Di, Yana,et al. AFEPack: A General-Purpose C plus plus Library for Numerical Solutions of Partial Differential Equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2024,36(1):274-318.
APA	Cai, Zhenning.,Chen, Yun.,Di, Yana.,Hu, Guanghui.,Li, Ruo.,...&Zhan, Hongfei.(2024).AFEPack: A General-Purpose C plus plus Library for Numerical Solutions of Partial Differential Equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,36(1),274-318.
MLA	Cai, Zhenning,et al."AFEPack: A General-Purpose C plus plus Library for Numerical Solutions of Partial Differential Equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 36.1(2024):274-318.