Monotone Discretizations for Elliptic Second Order Partial Differential Equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10509024" target="_blank" >RIV/00216208:11320/25:10509024 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-80684-1" target="_blank" >https://doi.org/10.1007/978-3-031-80684-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-80684-1" target="_blank" >10.1007/978-3-031-80684-1</a>
Alternative languages
Result language
angličtina
Original language name
Monotone Discretizations for Elliptic Second Order Partial Differential Equations
Original language 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.
Czech name
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Czech description
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Classification
Type
B - Specialist book
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
ISBN
978-3-031-80683-4
Number of pages
661
Publisher name
Springer
Place of publication
Cham
UT code for WoS book
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