Discontinuous Galerkin Method for the Air Pollution Model
Lite Zhao, Xijian Wang, Qinzhi Hou
TL;DR
This paper introduces a discontinuous Galerkin method to numerically solve a 2D air pollution model, establishing the mathematical foundation and error bounds for the approach.
Contribution
It presents a novel application of the discontinuous Galerkin method to a complex environmental modeling problem, including theoretical analysis.
Findings
Existence and uniqueness of the semidiscrete ODE system
Error estimates for the numerical solution
Validation of the method for air pollution modeling
Abstract
In this paper we present the discontinuous Galerkin method to solve the problem of the two-dimensional air pollution model. The resulting system of ordinary differential equations is called the semidiscrete formulation. We show the existence and uniqueness of the ODE system and provide the error estimates for the numerical error.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Advanced Numerical Methods in Computational Mathematics · Advanced Mathematical Modeling in Engineering