Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems
Linß, Torsten.
Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems [recurso electrónico] / by Torsten Linß. - online resource. - Lecture Notes in Mathematics, 1985 0075-8434 ; . - Lecture Notes in Mathematics, 1985 .
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.
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.
9783642051340
Mathematics.
Differential Equations.
Differential equations, partial.
Numerical analysis.
Mathematics.
Numerical Analysis.
Ordinary Differential Equations.
Partial Differential Equations.
QA297-299.4
518
Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems [recurso electrónico] / by Torsten Linß. - online resource. - Lecture Notes in Mathematics, 1985 0075-8434 ; . - Lecture Notes in Mathematics, 1985 .
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.
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.
9783642051340
Mathematics.
Differential Equations.
Differential equations, partial.
Numerical analysis.
Mathematics.
Numerical Analysis.
Ordinary Differential Equations.
Partial Differential Equations.
QA297-299.4
518
