南方科技大学知识苑(SUSTech KC): Arbitrarily High Order and Fully Discrete Extrapolated RK-SAV/DG Schemes for Phase-field Gradient Flows

题名	Arbitrarily High Order and Fully Discrete Extrapolated RK-SAV/DG Schemes for Phase-field Gradient Flows
作者	Tang, Tao1,2 ; Wu, Xu3,4 ; Yang, Jiang4,5
通讯作者	Wu, Xu
发表日期	2022-11-01
DOI	10.1007/s10915-022-01995-5
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING 影响因子和分区
ISSN	0885-7474
EISSN	1573-7691
卷号	93 期号:2
摘要	In this paper, we construct and analyze a fully discrete method for phase-field gradient flows, which uses extrapolated Runge-Kutta with scalar auxiliary variable (RK-SAV) method in time and discontinuous Galerkin (DG) method in space. We propose a novel technique to decouple the system, after which only several elliptic scalar problems with constant coefficients need to be solved independently. Discrete energy decay property of the method is proved for gradient flows. The scheme can be of arbitrarily high order both in time and space, which is demonstrated rigorously for the Allen-Cahn equation and the Cahn-Hilliard equation. More precisely, optimal L-2-error bound in space and qth-order convergence rate in time are obtained for q-stage extrapolated RK-SAV/DG method. Several numerical experiments are carried out to verify the theoretical results.
关键词	Phase-field models Gradient flows Energy stability Convergence and error analysis Allen-Cahn equation Cahn-Hilliard equation
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	通讯
资助项目	National Science Foundation of China["NSFC-11871264","NSFC/RGC 11961160718"] ; Hong Kong RGC[NSFC/RGC 11961160718] ; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001] ; Shenzhen Natural Science Fund[RCJC20210609103819018]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000854593400003
出版者	SPRINGER/PLENUM PUBLISHERS
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：6
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/402364
专题	理学院_数学系
作者单位	1.BNU HKBU United Int Coll, Div Sci & Technol, Zhuhai, Guangdong, Peoples R China 2.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen, Peoples R China 3.Harbin Inst Technol, Sch Math, Harbin, Peoples R China 4.Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China 5.Southern Univ Sci & Technol, Guangdong Prov Key Lab Computat Sci & Mat Design, Shenzhen, Peoples R China
第一作者单位	南方科技大学
通讯作者单位	数学系
推荐引用方式 GB/T 7714	Tang, Tao,Wu, Xu,Yang, Jiang. Arbitrarily High Order and Fully Discrete Extrapolated RK-SAV/DG Schemes for Phase-field Gradient Flows[J]. JOURNAL OF SCIENTIFIC COMPUTING,2022,93(2).
APA	Tang, Tao,Wu, Xu,&Yang, Jiang.(2022).Arbitrarily High Order and Fully Discrete Extrapolated RK-SAV/DG Schemes for Phase-field Gradient Flows.JOURNAL OF SCIENTIFIC COMPUTING,93(2).
MLA	Tang, Tao,et al."Arbitrarily High Order and Fully Discrete Extrapolated RK-SAV/DG Schemes for Phase-field Gradient Flows".JOURNAL OF SCIENTIFIC COMPUTING 93.2(2022).