Discontinuous Galerkin Method for the Air Pollution Model
arXiv:1108.21701.21 citationsh-index: 4
Originality Synthesis-oriented
AI Analysis
Provides theoretical guarantees for a numerical method applied to air pollution modeling, but the contribution is incremental as it applies an existing method to a specific domain.
The paper applies the discontinuous Galerkin method to a two-dimensional air pollution model, proving existence and uniqueness of the semidiscrete ODE system and providing error estimates.
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.