Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of the first derivatives for advection-diffusion equations-Reference-Cited by-同舟云学术

Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of the first derivatives for advection-diffusion equations

Published:2011-10 Issue:4 Volume:4 Page:345-362
ISSN:1995-4239
Container-title:Numerical Analysis and Applications
language:en
Short-container-title:Numer. Analys. Appl.

Author:

Chen H.,Lin Q.,Shaidurov V. V.,Zhou J.

Publisher

Pleiades Publishing Ltd

Subject

Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1134/S1995423911040070.pdf

Reference23 articles.

1. Bear, J., Dynamics of Fluids in Porous Materials, New York: Elsevier, 1972.

2. Peaceman, D.W., Fundamentals of Numerical Reservoir Simulation, Amsterdam: Elsevier, 1977.

3. Roos, H.-G., Stynes, M., and Tobiska, L., Robust Numerical Methods for Singularly Perturbed Differential Equations, 2nd ed., Berlin: Springer-Verlag, 2008.

4. Ewing, R.E., The Mathematics of Reservoir Simulation, Philadelphia: SIAM, 1983.

5. Johnson, C., Numerical Solution of Partial Differential Equations by the Finite Element Method, Cambridge: Cambridge Univ. Press, 1987.

Cited by 15 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. Semi-Lagrangian difference approximations with different stability requirements;Russian Journal of Numerical Analysis and Mathematical Modelling;2018-04-25

2. Semi-Lagrangian difference approximations for distinct transfer operators;AIP Conference Proceedings;2018

3. The semi-Lagrangian method for the Navier-Stokes problem for an incompressible fluid;AIP Conference Proceedings;2017

4. A Mathematical Model and a Numerical Algorithm for an Asteroid-Comet Body in the Earth’s Atmosphere;Lecture Notes in Computer Science;2017

5. Mathematical model and numerical algorithm for aerodynamical flow;AIP Conference Proceedings;2016