Volume 9, Issue 3
A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure

Jiansong Zhang, Jiang Zhu & Danping Yang

Adv. Appl. Math. Mech., 9 (2017), pp. 651-666.

Published online: 2018-05

Preview Purchase PDF 2 987
Export citation
  • Abstract

In this paper, a new combined method is presented to simulate saltwater intrusion problem. A splitting positive definite mixed element method is used to solve the water head equation, and a symmetric discontinuous Galerkin (DG) finite element method is used to solve the concentration equation. The introduction of these two numerical methods not only makes the coefficient matrixes symmetric positive definite, but also does well with the discontinuous problem. The convergence of this method is considered and the optimal L 2 -norm error estimate is also derived.

  • Keywords

Splitting mixed system, discontinuous Galerkin method, saltwater intrusion problem, convergence analysis.

  • AMS Subject Headings

timate is also derived. AMS subject classifications: 6

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
Copy to clipboard
The citation has been copied to your clipboard