A Two-Grid Finite Element Method for a Second-Order Nonlinear Hyperbolic Equation
Joint Authors
Zhao, Xin
Chen, Chuanjun
Liu, Wei
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-05
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We present a two-grid finite element scheme for the approximation of a second-order nonlinear hyperbolic equation in two space dimensions.
In the two-grid scheme, the full nonlinear problem is solved only on a coarse grid of size H.
The nonlinearities are expanded about the coarse grid solution on the fine gird of size h.
The resulting linear system is solved on the fine grid.
Some a priori error estimates are derived with the H1-norm O(h+H2) for the two-grid finite element method.
Compared with the standard finite element method, the two-grid method achieves asymptotically same order as long as the mesh sizes satisfy h=O(H2).
American Psychological Association (APA)
Chen, Chuanjun& Liu, Wei& Zhao, Xin. 2014. A Two-Grid Finite Element Method for a Second-Order Nonlinear Hyperbolic Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1034020
Modern Language Association (MLA)
Chen, Chuanjun…[et al.]. A Two-Grid Finite Element Method for a Second-Order Nonlinear Hyperbolic Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1034020
American Medical Association (AMA)
Chen, Chuanjun& Liu, Wei& Zhao, Xin. A Two-Grid Finite Element Method for a Second-Order Nonlinear Hyperbolic Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1034020
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034020