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.
