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.
• Physical Description: XII, 326 p. online resource.
• ISBN: 9783642051340
• ISSN: 0075-8434 ;

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 layer-adapted meshes for reaction-convection-diffusion problems are included. This structured and comprehensive account of current ideas in the numerical analysis for various methods on layer-adapted meshes is addressed to researchers in finite element theory and perturbation problems. Finite differences, finite elements and finite volumes are all covered.