Advances in Discretization Methods: Discontinuities, Virtual Elements, Fictitious Domain Methods

1 Domenico Notaro, Laura Cattaneo, Luca Formaggia, Anna Scotti and Paolo Zunino: A Mixed Finite Element Method for Modeling the Fluid Exchange between Microcirculation and Tissue Interstitium.- 2 Sandra Pieraccini and Stefano Scialò: On a PDE-constrained optimization approach for flow simulations in fractured media.- 3 Bernd Flemisch, Alessio Fumagalli and Anna Scotti: A review of the XFEM-based approximation of flow in fractured porous media.- 4 Steffen Beese, Stefan Loehnert and Peter Wriggers: Modeling fracture in poly crystalline materials.- 5 C. Gurkan, S. Fernández-Méndez, E. Sala-Lardies and M. Kronbichler: Extended hybridizable discontinuous galerkin (x-hdg) for interface problems.- 6 Yuan Jin, Olivier Pierard, Eric Wyart and Eric Béchet: Crack lip contact modeling based on Lagrangian multipliers with X-FEM.- 7 Thomas-Peter Fries, Markus Schätzer and Samir Omerovic: Stress intensity factors through crack-opening displacements in the XFEM.- 8 Matìas Fernando Benedetto, Stefano Berrone and Andrea Borio: The Virtual Element Method for underground flow simulations in fractured media.- 9 Joe Collis and Paul Houston: Adaptive Discontinuous Galerkin Methods on Polytopic Meshes.- 10 Giulio Ventura and Claudia Tesei: Stabilized X-FEM for Heaviside and Nonlinear Enrichments.- 11 S. Berrone, A. Bonito, M. Verani: An Adaptive Fictitious Domain Method for elliptic problems.- 12 Thomas-Peter Fries, Markus Schätzer, Samir Omerovic: Higher-order accurate integration for cut elements with Chen-Babuska nodes.