This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions.
Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i. e., they are unstable under data perturbations. Those problems require a regularization, i. e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e. g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.