A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure
Year: 2017
Author: Jiansong Zhang, Jiang Zhu, Danping Yang
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 3 : pp. 651–666
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2015.m1026
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 3 : pp. 651–666
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Splitting mixed system discontinuous Galerkin method saltwater intrusion problem convergence analysis.
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