A Godunov-Mixed Finite Element Method on Changing Meshes for the Nonlinear Sobolev Equations
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-17
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
A Godunov-mixed finite element method on changing meshes is presented to simulate the nonlinear Sobolev equations.
The convection term of the nonlinear Sobolev equations is approximated by a Godunov-type procedure and the diffusion term by an expanded mixed finite element method.
The method can simultaneously approximate the scalar unknown and the vector flux effectively, reducing the continuity of the finite element space.
Almost optimal error estimates in L2-norm under very general changes in the mesh can be obtained.
Finally, a numerical experiment is given to illustrate the efficiency of the method.
American Psychological Association (APA)
Sun, Tongjun. 2012. A Godunov-Mixed Finite Element Method on Changing Meshes for the Nonlinear Sobolev Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-470198
Modern Language Association (MLA)
Sun, Tongjun. A Godunov-Mixed Finite Element Method on Changing Meshes for the Nonlinear Sobolev Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-470198
American Medical Association (AMA)
Sun, Tongjun. A Godunov-Mixed Finite Element Method on Changing Meshes for the Nonlinear Sobolev Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-470198
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470198