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Characteristics-finite element methods for seawater intrusion numerical simulation and theoretical analysis

Characteristics-finite element methods for seawater intrusion numerical simulation and... Both numerical simulation and theoretical analysis of seawater intrusion in coastal regions are of great theoretical importance in environmental sciences. The mathematical model can be described as a problem of the initial boundary values for a system of 3-dimensional nonlinear parabolic partial differential equations, one being the pressure flow equation and the other is the concentration convection-dispersion equation of the salt contained. For a generic case of a 3-dimensional bounded region, a backward-difference time-stepping scheme is defined. It approximates the pressure by the standard Galerkin procedure and the concentration by a Galerkin method of characteristics, where calculus of variations, theory of prior estimates and techniques are made use of. Optimal order estimates inH 1 norm are derived for the errors in the approximate solution. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Characteristics-finite element methods for seawater intrusion numerical simulation and theoretical analysis

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Publisher
Springer Journals
Copyright
Copyright © 1998 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02677343
Publisher site
See Article on Publisher Site

Abstract

Both numerical simulation and theoretical analysis of seawater intrusion in coastal regions are of great theoretical importance in environmental sciences. The mathematical model can be described as a problem of the initial boundary values for a system of 3-dimensional nonlinear parabolic partial differential equations, one being the pressure flow equation and the other is the concentration convection-dispersion equation of the salt contained. For a generic case of a 3-dimensional bounded region, a backward-difference time-stepping scheme is defined. It approximates the pressure by the standard Galerkin procedure and the concentration by a Galerkin method of characteristics, where calculus of variations, theory of prior estimates and techniques are made use of. Optimal order estimates inH 1 norm are derived for the errors in the approximate solution.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 3, 2007

References