Fokusthemen
Publikationen
Services
Autorinnen/Autoren
Verlag
Shop
LEXIA
Zeitschriften
SachbuchLOKISemaphor
Osteraktion: Bis zum 30.4.2025 von 20% Rabatt auf folgende Produkte profitieren. Code: NEST25
Monotone Discretizations for Elliptic Second Order Partial Differential Equations

Monotone Discretizations for Elliptic Second Order Partial ...

Inhalt

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.

Bibliografische Angaben

März 2025, 649 Seiten, Springer Series in Computational Mathematics, Englisch
Springer International Publishing
978-3-031-80683-4

Inhaltsverzeichnis

Schlagworte

Weitere Titel der Reihe: Springer Series in Computational Mathematics

Alle anzeigen

Weitere Titel zum Thema