A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure

被引：2
|
作者：
Zhang, Jiansong [1 ]
Zhu, Jiang [2 ]
Yang, Danping [3 ]
机构：
[1] China Univ Petr, Dept Appl Math, 66 Changjiang West Rd, Qingdao 266580, Peoples R China
[2] MCTI, Lab Nacl Computacao Cient, Ave Getulio Vargas 333, BR-25651075 Petropolis, RJ, Brazil
[3] East China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2017年 / 9卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Splitting mixed system; discontinuous Galerkin method; saltwater intrusion problem; convergence analysis; COMPRESSIBLE MISCIBLE DISPLACEMENT; CALCULATING TRANSIENT POSITION; VARIABLE-DENSITY FLOW; FINITE-ELEMENT-METHOD; SOLUTE TRANSPORT; SIMULATION;
D O I：
10.4208/aamm.2015.m1026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：651 / 666
页数：16
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