# The Finite Element Method

• Marcello Benedini
• George Tsakiris
Chapter
Part of the Water Science and Technology Library book series (WSTL, volume 70)

## Abstract

Apart from the finite difference method, the numerical calculus has developed other numerical methods for the integration of the differential equations, with the help of the advanced computing devices. The finite element method (FEM) is one of the most promising methods, which has been successfully applied to many engineering problems. For the water quality models, despite of some difficulties during the first steps of its application, the method gives good opportunities for stable and reliable solutions, especially when irregular river geometry requires a representation by discrete terms of various shapes and sizes. In this chapter, the FEM is applied to water quality problems of one dimension.

## Keywords

Finite Element Method Finite Difference Method Pollutant Concentration Preceding Paragraph River Pollution
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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