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Intro -- Preface and personal acknowledgments -- Classes and schools related to this monograph -- Research funding acknowledgments -- Own related work -- Contents -- 1 Introduction -- 2 Notation, prerequisites, and prototype model problems -- 3 Classifications of partial differential equations and variational inequalities -- 4 Modeling of variational phase-field fractures -- 5 Numerical modeling part I: regularization and discretization -- 6 Simulations I: a phase-field slit domain -- 7 Numerical modeling part II: linearizations, nonlinear solvers, and linear solution -- 8 Simulations II: single edge notched shear test -- 9 Numerical modeling part III: adaptive concepts -- 10 Simulations III: goal-oriented error control for a phase-field slit and time control for a screw -- 11 Multiphysics extensions involving fracture -- 12 Simulations IV -- 13 Research software development -- 14 Conclusions and future interest -- 15 The end -- Bibliography -- Index.
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