Téléchargez le livre : Monotone Discretizations for Elliptic Second Order Partial Differential Equations

Monotone Discretizations for Elliptic Second Order Partial Differential Equations

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Springer


Collection :

Springer Series in Computational Mathematics

Paru le : 2025-03-18

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Description

This book offers a comprehensive presentation of numerical methods for elliptic boundary value problems that satisfy discrete maximum principles (DMPs). The satisfaction of DMPs ensures that numerical solutions possess physically admissible values, which is of utmost importance in numerous applications. A general framework for the proofs of monotonicity and discrete maximum principles is developed for both linear and nonlinear discretizations. Starting with the Poisson problem, the focus is on convection-diffusion-reaction problems with dominant convection, a situation which leads to a numerical problem with multi-scale character. The emphasis of this book is on finite element methods, where classical (usually linear) and modern nonlinear discretizations are presented in a unified way. In addition, popular finite difference and finite volume methods are discussed. Besides DMPs, other important properties of the methods, like convergence, are studied. Proofs are presented step by step, allowing readers to understand the analytic techniques more easily. Numerical examples illustrate the behavior of the methods.
Pages
649 pages
Collection
Springer Series in Computational Mathematics
Parution
2025-03-18
Marque
Springer
EAN papier
9783031806834
EAN PDF
9783031806841
Informations sur l'ebook
Nombre pages copiables
6
Nombre pages imprimables
64
Taille du fichier
15718 Ko
Prix
200,44 €
EAN EPUB
9783031806841
Informations sur l'ebook
Nombre pages copiables
6
Nombre pages imprimables
64
Taille du fichier
50821 Ko
Prix
200,44 €

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