Geometrically Unfitted Finite Element Methods and Applications

Introduction.- 1 Deriving robust unfitted finite element methods from augmented Lagrangian formulations (E. Burman, P. Hansbo).- 2 Cut finite element methods for linear elasticity problems (P. Hansbo, M.G. Larson, K. Larsson).- 3 A higher order isoparametric fictitious domain method for level set domains (C. Lehrenfeld).- 4 An overview of recent results on Nitsches method for contact problems (F. Chouly, M. Fabre, P. Hild, R. Mlika, J. Pousin, Y. Renard).- 5 Inf-sup stable unfitted extended finite element methods with Lagrange multipliers for the Stokes equations (M. Fournié, A. Lozinski).- 6 Penalty-free Nitsches method for interface problems (T. Boiveau, E. Burman, S. Claus).- 7 Trace Finite Element Methods for PDEs on Surfaces (M. A. Olshanskii, A. Reusken).- 8 A Cut Discontinuous Galerkin Method for Coupled Bulk-Surface Problems (A. Massing).- 9 A space-time cut finite element method for convection-diffusion problems in time dependent domains (S. Zahedi).- 10 Well Conditioned Extended Finite Elements and Vector Level Sets for Three-Dimensional Crack Propagation (S. Bordas, A. Kostas).- 11 Unfitted FEM for modelling the interaction of multiple fractures in a poroelastic medium (B. Giovanardi, L. Formaggia, A. Scotti, P. Zunino).... Mehr