An Equal-Order DG Method for the Incompressible Navier-Stokes Equations-Reference-Cited by-同舟云学术

An Equal-Order DG Method for the Incompressible Navier-Stokes Equations

Published:2008-12-20 Issue:1-3 Volume:40 Page:188-210
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Cockburn Bernardo,Kanschat Guido,Schötzau Dominik

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-008-9261-1.pdf

Reference15 articles.

1. Arnold, D.N.: An interior penalty finite element method with discontinuous elements. SIAM J. Numer. Anal. 19, 742–760 (1982)

2. Arnold, D.N., Brezzi, F., Cockburn, B., Marini, L.D.: Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. 39, 1749–1779 (2002)

3. Brenner, S.: Poincaré-Friedrichs inequalities for piecewise H 1 functions. SIAM J. Numer. Anal. 41, 306–324 (2003)

4. Brezzi, F., Fortin, M.: Mixed and Hybrid Finite Element Methods. Springer, Berlin (1991)

5. Cockburn, B., Kanschat, G., Schötzau, D., Schwab, C.: Local discontinuous Galerkin methods for the Stokes system. SIAM J. Numer. Anal. 40, 319–343 (2002)

Cited by 47 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A discontinuous Galerkin finite element method for the Oldroyd model of order one;Mathematical Methods in the Applied Sciences;2024-02-23

2. Discontinuous Galerkin Two-Grid Method for the Transient Navier–Stokes Equations;Computational Methods in Applied Mathematics;2023-11-25

3. A Local Discontinuous Galerkin Approximation for the p-Navier–Stokes System, Part I: Convergence Analysis;SIAM Journal on Numerical Analysis;2023-07-10

4. Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations;Science China Mathematics;2023-06-20

5. A priori error estimates of a discontinuous Galerkin method for the Navier-Stokes equations;Numerical Algorithms;2023-04-29