The Cascadic Multigrid Method of the Weak Galerkin Method for Second-Order Elliptic Equation

Joint Authors

Wang, Cheng
Sun, Shi
Huang, Ziping
Guo, Liming

Source

Mathematical Problems in Engineering

Issue

Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2017-10-18

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Civil Engineering

Abstract EN

This paper is devoted to the analysis of the cascadic multigrid algorithm for solving the linear system arising from the weak Galerkin finite element method.

The proposed cascadic multigrid method is optimal for conjugate gradient iteration and quasi-optimal for Jacobi, Gauss-Seidel, and Richardson iterations.

Numerical results are also provided to validate our theoretical analysis.

American Psychological Association (APA)

Sun, Shi& Huang, Ziping& Wang, Cheng& Guo, Liming. 2017. The Cascadic Multigrid Method of the Weak Galerkin Method for Second-Order Elliptic Equation. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1192041

Modern Language Association (MLA)

Sun, Shi…[et al.]. The Cascadic Multigrid Method of the Weak Galerkin Method for Second-Order Elliptic Equation. Mathematical Problems in Engineering No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1192041

American Medical Association (AMA)

Sun, Shi& Huang, Ziping& Wang, Cheng& Guo, Liming. The Cascadic Multigrid Method of the Weak Galerkin Method for Second-Order Elliptic Equation. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1192041

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1192041