Chapter 1 Deriving Robust Unfitted Finite Element Methods from Augmented Lagrangian Formulations

Chapter 2 Cut Finite Element Methods for Linear Elasticity Problems

Chapter 3 A Higher Order Isoparametric Fictitious Domain Method for Level Set Domains

Chapter 4 An Overview of Recent Results on Nitsche’s Method for Contact Problems

Chapter 5 Stability and Optimal Convergence of Unfitted Extended Finite Element Methods with Lagrange Multipliers for the Stokes Equations

Chapter 6 Penalty-Free Nitsche Method for Interface Problems

Chapter 7 Trace Finite Element Methods for PDEs on Surfaces

Chapter 8 A Cut Discontinuous Galerkin Method for Coupled Bulk-Surface Problems

Chapter 9 A Space-Time Cut Finite Element Method with Quadrature in Time

Chapter 10 Well Conditioned Extended Finite Elements and Vector Level Sets for Three-Dimensional Crack Propagation