The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation

Author

Yang, Qing

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-03-13

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

A finite volume element method for approximating the solution to two-dimensional Burgers equation is presented.

Upwind technique is applied to handle the nonlinear convection term.

We present the semi-discrete scheme and fully discrete scheme, respectively.

We show that the schemes are convergent to order one in space in L2-norm.

Numerical experiment is presented finally to validate the theoretical analysis.

American Psychological Association (APA)

Yang, Qing. 2013. The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-465036

Modern Language Association (MLA)

Yang, Qing. The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-465036

American Medical Association (AMA)

Yang, Qing. The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-465036

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-465036