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Stokes–Darcy Equations

Analytic and Numerical Analysis

  • Ulrich Wilbrandt

Part of the Advances in Mathematical Fluid Mechanics book series (AMFM)

Also part of the Lecture Notes in Mathematical Fluid Mechanics book sub series (LNMFM)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Ulrich Wilbrandt
    Pages 1-7
  3. Ulrich Wilbrandt
    Pages 9-25
  4. Ulrich Wilbrandt
    Pages 27-56
  5. Ulrich Wilbrandt
    Pages 57-82
  6. Ulrich Wilbrandt
    Pages 83-108
  7. Ulrich Wilbrandt
    Pages 109-151
  8. Ulrich Wilbrandt
    Pages 153-174
  9. Ulrich Wilbrandt
    Pages 175-199
  10. Back Matter
    Pages 201-212

About this book

Introduction

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.

Keywords

stokes-darcy trace sobolev space interface neumann-neumann robin-robin d-rr iterative subdomain algorithm small viscosity and conductivity

Authors and affiliations

  • Ulrich Wilbrandt
    • 1
  1. 1.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-02904-3
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-02903-6
  • Online ISBN 978-3-030-02904-3
  • Series Print ISSN 2297-0320
  • Series Online ISSN 2297-0339
  • Buy this book on publisher's site