Multiphysics Phase-Field Fracture : Modeling, Adaptive Discretizations, and Solvers (Radon Series on Computational and Applied Mathematics 28) (2020. XXIV, 334 S. 12 b/w and 69 col. ill., 30 b/w tbl. 240 mm)

This monograph is centered on mathematical modeling, innovative numerical algorithms and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art phase-field fracture models are complemented with prototype explanations and rigorous numerical analysis. These developments are embedded into a carefully designed balance between scientific computing aspects and numerical modeling of nonstationary coupled variational inequality systems. Therein, a focus is on nonlinear solvers, goal-oriented error estimation, predictor-corrector adaptivity, and interface conditions. Engineering applications show the potential for tackling practical problems within the fields of solid mechanics, porous media, and fluidstructure interaction.