Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems

• Main Author: Linß, Torsten (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 1985
• Subjects: Mathematics.; Differential equations.; Partial differential equations.; Numerical analysis.; Numerical Analysis.; Ordinary Differential Equations.; Partial Differential Equations.

This book on numerical methods for singular perturbation problems - in particular, stationary reaction-convection-diffusion problems exhibiting layer behaviour is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. A classification and a survey of lay...

Table of Contents:

• One dimensional problems
• The Analytical Behaviour of Solutions
• Finite Difference Schemes for Convection-Diffusion Problems
• Finite Element and Finite Volume Methods
• Discretisations of Reaction-Convection-Diffusion Problems
• Layer-Adapted Meshes
• Two dimensional problems
• The Analytical Behaviour of Solutions
• Reaction-Diffusion Problems
• Convection-Diffusion Problems.