This book on singular perturbation problems - in particular, stationary reaction-convection-diffusion problems exhibiting layer behaviour - is devoted to the construction and analysis of numerical methods on layer-adapted meshes. A classification and a survey of layer-adapted meshes for various types of boundary-value 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. INDICE: 1 Introduction.- 2 Layer-adapted meshes.- Part I One dimensional problems.- 3 The analytical behaviour of solutions.- 4 Finite difference schemes for convection-diffusion problems.- 5 Finite element and finite volume methods.- 6 Discretisations of reaction-convection-diffusion problems.- Part II Twodimensional problems.- 7 The analytical behaviour of solutions.- 8 Reaction-diffusion problems.- 9 Convection-diffusion problems.
- ISBN: 978-3-642-05133-3
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 310
- Fecha Publicación: 01/12/2009
- Nº Volúmenes: 1
- Idioma: Inglés