AKTS-SML Diffusion Help  
1. About the program
2. The mathematical model
  > 2.1. Introduction
> 2.2. General description of the model
3. Concentration distributions in the layers
4. Program instructions
5. Examples
6. Conditions of use
7. SML - License agreement
 
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2. THE MATHEMATICAL MODEL

2.1. INTRODUCTION

The concentration profile inside the different layers is calculated by Finite Element Approximations. Besides Finite Element Analysis (FEA), there are other methods for solving Partial Differential Equations (PDEs). Monte Carlo Method is one of these. But there are others, the so-called spectral and variational methods, for example. However, FEA is often preferred by practitioners in e.g. solid mechanics or structural engineering, because these methods allow considerable ‘freedom’ in putting computational elements where they want them. This is important when dealing with high irregular geometries or when dealing with complex kinetic reaction process. Spectral methods are sometimes preferred for very regular geometries and smooth functions; they might converge more rapidly than (FEA), but they sometimes do not work well for problems with discontinuities.
 

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