TY - JOUR
T1 - A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure
AU - Zhang , Jiansong
AU - Zhu , Jiang
AU - Yang , Danping
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 651
EP - 666
PY - 2018
DA - 2018/05
SN - 9
DO - http://doi.org/10.4208/aamm.2015.m1026
UR - https://global-sci.org/intro/article_detail/aamm/12168.html
KW - Splitting mixed system, discontinuous Galerkin method, saltwater intrusion problem, convergence analysis.
AB - <p style="text-align: justify;">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.</p>