Linb, Torsten

Layer-adapted meshes for reaction-convection-diffusion problems - Boston: Springer-Verlag, 2010. - xi, 327p.; pbk; 24cm. - Lecture notes in mathematics, 1985 .

Includes references and index

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.

https://link.springer.com/book/10.1007/978-3-642-05134-0

9783642051333


Mathematics
Numerical analysis
Differential equations
Partial differential equations
Reaction-diffusion
Boundary layers

518 / LIN