Articles


Document Type
Journal article (JA)
Title
A new two-grid nonconforming mixed finite element method for nonlinear Benjamin-Bona-Mahoney equation
Author
Shi, Xiangyu (1); Lu, Linzhang (1, 2)
作者单位
(1) School of Mathematical Sciences, Xiamen University, Xiamen, China (2) School of Mathematical Sciences, Guizhou Normal University, Guiyang, China
RPAddress
Xiamen Univ, Sch Math Sci, Xiamen, Fujian, Peoples R China.
Email
ResearchID
ORCID
Journal
Applied Mathematics and Computation
Publisher
Elsevier Inc.
ISSN
0096-3003
Published
2020-04-15, 371 ():-.
JCR
ImpactFactor
ISBN
Fund_Code
National Natural Science Foundation of ChinaNational Natural Science Foundation of China [11671105]
会议名称
会议地点
会议开始日期
会议结束日期
HYLWLB
HYJB
Keywords
Mesh generation; Nonlinear equations
Abstract
A new low order two-grid mixed finite element method (FEM) is developed for the nonlinear Benjamin-Bona-Mahoney (BBM) equation, in which the famous nonconforming rectangular CNQ1rot element and Q0 × Q0 constant element are used to approximate the exact solution u and the variable p→=?ut, respectively. Then, based on the special properties of these two elements and interpolation post-processing technique, the superconvergence results for u in broken H1-norm and p→ in L2-norm are obtained for the semi-discrete and Crank-Nicolson fully-discrete schemes without the restriction between the time step τ and coarse mesh size H or the fine mesh size h, which improve the results of the existing literature. Finally, some numerical results are provided to confirm the theoretical analysis. ? 2019 Elsevier Inc.
WOS Categories
Mathematics, Applied
Accession Number
WOS:000504843100024
EI收录号
20195207922398
DOI
10.1016/j.amc.2019.124943
ESI_Type
MATHEMATICS
Collection
SCIE, EI

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