Martensitic Phase Transformations of Mono and Polycrystalline Shape Memory Alloys. A Theoretically and Numerically Unified Concept -- Thermo-Hydro-Mechanical Modeling of Coupled Processes in Clay Materials -- Multibody Contact Algorithms for Fracturing Solids -- New Strategies in Finite Element Analysis of Material Processing -- Computational Techniques for Multiscale Analysis of Materials and Interfaces -- Numerical Modelling and Simulation of Atomic Force Microscopes -- Finite Element and Boundary Element Approaches to Transmission and Contact Problems in Elasticity -- Efficient Solvers for Mixed Finite Element Discretization of Nonlinear Problems in Solid Mechanics -- Computational Differential Geometry Contributions of the Welfenlab to GRK 615 -- Analysis of a Mathematical Model Describing Necrotic Tumor Growth.

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.