Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems
Linß, Torsten.
Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems [electronic resource] / by Torsten Linß. - XII, 326 p. 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
10.1007/978-3-642-05134-0 doi
Numerical analysis.
Differential Equations.
Differential equations, partial.
Numerical Analysis.
Ordinary Differential Equations.
Partial Differential Equations.
QA297-299.4
518
Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems [electronic resource] / by Torsten Linß. - XII, 326 p. 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
10.1007/978-3-642-05134-0 doi
Numerical analysis.
Differential Equations.
Differential equations, partial.
Numerical Analysis.
Ordinary Differential Equations.
Partial Differential Equations.
QA297-299.4
518