Advances in Discretization Methods

Part I. Enriched Methods for Flow and Mechanics in Heterogeneous Media

1. A Mixed Finite Element Method for Modeling the Fluid Exchange Between Microcirculation and Tissue Interstitium
Domenico Notaro, Laura Cattaneo, Luca Formaggia, Anna Scotti, Paolo Zunino

2. On a PDE-Constrained Optimization Approach for Flow Simulations in Fractured Media
Sandra Pieraccini, Stefano Scialò

3. A Review of the XFEM-Based Approximation of Flow in Fractured Porous Media
Bernd Flemisch, Alessio Fumagalli, Anna Scotti

Part II. Enhanced Finite Element Formulations for Fracture and Interface Problems

4. Modeling of Fracture in Polycrystalline Materials
Steffen Beese, Stefan Loehnert, Peter Wriggers

5. eXtended Hybridizable Discontinuous Galerkin (X-HDG) for Void and Bimaterial Problems
Ceren Gürkan, Esther Sala-Lardies, Martin Kronbichler, Sonia Fernández-Méndez

6. Crack Lip Contact Modeling Based on Lagrangian Multipliers with X-FEM
Yuan Jin, Olivier Pierard, Eric Wyart, Eric Béchet

7. Stress Intensity Factors Through Crack Opening Displacements in the XFEM
Markus Schätzer, Thomas-Peter Fries

Part III. Polygonal and Polyhedral Methods

8. The Virtual Element Method for Underground Flow Simulations in Fractured Media
Matías Fernando Benedetto, Stefano Berrone, Andrea Borio

9. Adaptive Discontinuous Galerkin Methods on Polytopic Meshes
Joe Collis, Paul Houston

Part IV. Advances in XFEM/Fictitious Domain Methods

10. Stabilized X-FEM for Heaviside and Nonlinear Enrichments
Giulio Ventura, Claudia Tesei

11. An Adaptive Fictitious Domain Method for Elliptic Problems
Stefano Berrone, Andrea Bonito, Marco Verani

12. Higher-Order Accurate Integration for Cut Elements with Chen-Babuška Nodes
Thomas-Peter Fries

Keywords: Engineering, Appl.Mathematics/Computational Methods of Engineering, Computational Mathematics and Numerical Analysis, Numerical and Computational Physics