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.