The book includes different contributions that cover interdisciplinary research in the areas of ·         Error controlled numerical methods, efficient algorithms and software development·         Elastic and in elastic deformation processes·         Models with multiscales and multi-physics “High Performance” adaptive numerical methods using finite elements (FEM) and boundary elements (BEM) are described as well as efficient solvers for linear systems and corresponding software components for non-linear, coupled field equations of various branches of mechanics, electromagnetics, and geosciences.