An H1-Galerkin Expanded Mixed Finite Element Approximation of Second-Order Nonlinear Hyperbolic Equations
Joint Authors
Zhou, Zhaojie
Wang, Weiwei
Chen, Huanzhen
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-18
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We investigate an H1-Galerkin expanded mixed finite element approximation of nonlinear second-order hyperbolic equations, which model a wide variety of phenomena that involve wave motion or convective transport process.
This method possesses some features such as approximating the unknown scalar, its gradient, and the flux function simultaneously, the finite element space being free of LBB condition, and avoiding the difficulties arising from calculating the inverse of coefficient tensor.
The existence and uniqueness of the numerical solution are discussed.
Optimal-order error estimates for this method are proved without introducing curl operator.
A numerical example is also given to illustrate the theoretical findings.
American Psychological Association (APA)
Zhou, Zhaojie& Wang, Weiwei& Chen, Huanzhen. 2013. An H1-Galerkin Expanded Mixed Finite Element Approximation of Second-Order Nonlinear Hyperbolic Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-488846
Modern Language Association (MLA)
Zhou, Zhaojie…[et al.]. An H1-Galerkin Expanded Mixed Finite Element Approximation of Second-Order Nonlinear Hyperbolic Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-488846
American Medical Association (AMA)
Zhou, Zhaojie& Wang, Weiwei& Chen, Huanzhen. An H1-Galerkin Expanded Mixed Finite Element Approximation of Second-Order Nonlinear Hyperbolic Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-488846
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488846