Description
Stokes-Darcy Equations, 1st ed. 2019
Analytic and Numerical Analysis
Lecture Notes in Mathematical Fluid Mechanics Series
Language: English
Publication date: 01-2019
Support: Print on demand
Support: Print on demand
Description
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This book offers a thorough guide starting from fundamental functional analysis leading to the coupling of Stokes and Darcy equations, including numerical analysis and scientific computing. Almost all intermediate results are given with complete, rigorous proofs, including theorems which can be rarely found in the literature such that this book serves well as a reference on the topic. Special care is taken to analyze the difficult cases of non-smooth interfaces which are not completely enclosed in one subdomain, i.e, intersect with the outer boundary. This can hardly be found in the literature. Additionally, known and new subdomain iterative methods are introduced, analyzed and applied to standard examples as well as one example motivated by a geoscientific setting.
Notation and preliminary results.- Properties of Sobolev spaces.- Traces.- Subproblems individually.- Stokes-Darcy equations.- Algorithms.- Numerical results.
Thorough guide to the coupling of Stokes and Darcy equations
Includes numerical analysis and scientific computing
Almost all intermediate results are given with a rigorous proof
Special care is taken to analyze the difficult cases of non-smooth interfaces which are not completely enclosed in one subdomain
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