5 Numerical modeling part I: regularization and discretization

Chapters in this book

1. Frontmatter I
2. Preface and personal acknowledgments VII
3. Classes and schools related to this monograph XI
4. Research funding acknowledgments XIII
5. Own related work XV
6. Contents XVII
7. 1 Introduction 1
8. 2 Notation, prerequisites, and prototype model problems 15
9. 3 Classifications of partial differential equations and variational inequalities 35
10. 4 Modeling of variational phase-field fractures 59
11. 5 Numerical modeling part I: regularization and discretization 83
12. 6 Simulations I: a phase-field slit domain 119
13. 7 Numerical modeling part II: linearizations, nonlinear solvers, and linear solution 131
14. 8 Simulations II: single edge notched shear test 169
15. 9 Numerical modeling part III: adaptive concepts 177
16. 10 Simulations III: goal-oriented error control for a phase-field slit and time control for a screw 215
17. 11 Multiphysics extensions involving fracture 227
18. 12 Simulations IV 283
19. 13 Research software development 295
20. 14 Conclusions and future interest 299
21. 15 The end 301
22. Bibliography 303
23. Index 327