Cancès, Clément
Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
Part I. Invited Papers
1. Bound-Preserving High Order Finite Volume Schemes for Conservation Laws and Convection-Diffusion Equations
Chi-Wang Shu
2. Some Geophysical Applications with Finite Volume Solvers of Two-Layer and Two-Phase Systems
E. D. Fernández-Nieto
3. Some Discrete Functional Analysis Tools
Thierry Gallouët
4. A Simple Finite-Volume Method on a Cartesian Mesh for Pedestrian Flows with Obstacles
Yuanzhen Cheng, Alina Chertock, Alexander Kurganov
Part II. Benchmark on Discretization Methods for Viscous Incompressible Flows
5. Benchmark Proposal for the FVCA8 Conference: Finite Volume Methods for the Stokes and Navier–Stokes Equations
Franck Boyer, Pascal Omnes
6. A High-Order Finite Volume Solver on Locally Refined Cartesian Meshes—Benchmark Session
Louis Vittoz, Guillaume Oger, Zhe Li, Matthieu Leffe, David Touzé
7. Benchmark Session: The 2D Hybrid High-Order Method
Daniele A. Pietro, Stella Krell
8. Benchmark: Two Hybrid Mimetic Mixed Schemes for the Lid-Driven Cavity
Jérôme Droniou, Robert Eymard
9. Results with a Locally Refined MAC-Like Scheme—Benchmark Session
Eric Chénier, Robert Eymard, Raphaèle Herbin
10. Numerical Results for a Discrete Duality Finite Volume Discretization Applied to the Navier–Stokes Equations
Sarah Delcourte, Pascal Omnes
11. Benchmark Session: The 2D Discrete Duality Finite Volume Method
Franck Boyer, Stella Krell, Flore Nabet
12. FVCA8 Benchmark for the Stokes and Navier–Stokes Equations with the TrioCFD Code—Benchmark Session
P.-E. Angeli, M.-A. Puscas, G. Fauchet, A. Cartalade
Part III. Theoretical Aspects of Finite Volumes
13. Analysis of a Positive CVFE Scheme for Simulating Breast Cancer Development, Local Treatment and Recurrence
Françoise Foucher, Moustafa Ibrahim, Mazen Saad
14. Céa-Type Quasi-Optimality and Convergence Rates for (Adaptive) Vertex-Centered FVM
Christoph Erath, Dirk Praetorius
15. Numerical Convergence for a Diffusive Limit of the Goldstein–Taylor System on Bounded Domain
Hélène Mathis, Nicolas Therme
16. Lagrange-Flux Schemes and the Entropy Property
Florian Vuyst
17. 18. Low Mach Number Limit of a Pressure Correction MAC Scheme for Compressible Barotropic Flows 19. Convergence of the MAC Scheme for Variable Density Flows 20. Uniform-in-Time Convergence of Numerical Schemes for a Two-Phase Discrete Fracture Model 21. Design and Analysis of a Finite Volume Scheme for a Concrete Carbonation Model 22. Equilibrated Stress Reconstructions for Linear Elasticity Problems with Application to a Posteriori Error Analysis 23. Uniform Second Order Convergence of a Complete Flux Scheme on Nonuniform 1D Grids 24. The Asymmetric Gradient Discretisation Method 25. DGM, an Item of GDM 26. Positive Lower Bound for the Numerical Solution of a Convection-Diffusion Equation 27. Raviart Thomas Petrov–Galerkin Finite Elements 28. Towards Pressure-Robust Mixed Methods for the Incompressible Navier–Stokes Equations 29. Numerical Analysis of the DDFV Method for the Stokes Problem with Mixed Neumann/Dirichlet Boundary Conditions 30. An Error Estimate for the Approximation of Linear Parabolic Equations by the Gradient Discretization Method 31. Uniform 32. Some Convergence Results of a Multi-dimensional Finite Volume Scheme for a Time-Fractional Diffusion-Wave Equation 33. Optimal Order of Convergence for the Upwind Scheme for the Linear Advection on a Bounded Domain 34. Numerical Scheme for Regularised Riemannian Mean Curvature Flow Equation 35. A Finite Volume Scheme for a Seawater Intrusion Model with Cross-Diffusion 36. Finite Volume Approximation of a Degenerate Immiscible Two-Phase Flow Model of Cahn–Hilliard Type 37. A Nonlinear Discrete Duality Finite Volume Scheme for Convection-Diffusion Equations 38. Stationarity and Vorticity Preservation for the Linearized Euler Equations in Multiple Spatial Dimensions 39. Goal-Oriented Error Analysis of a DG Scheme for a Second Gradient Elastodynamics Model 40. Simplified Model for the Clarinet and Numerical Schemes Keywords: Mathematics, Computational Mathematics and Numerical Analysis, Fluid- and Aerodynamics, Numerical and Computational Physics, Simulation
Raphaèle Herbin, Jean-Claude Latché, Khaled Saleh
T. Gallouët, R. Herbin, J.-C. Latché, K. Mallem
J. Droniou, J. Hennicker, R. Masson
Claire Chainais-Hillairet, Benoît Merlet, Antoine Zurek
Rita Riedlbeck, Daniele A. Pietro, Alexandre Ern
Patricio Farrell, Alexander Linke
J. Droniou, R. Eymard
Robert Eymard, Cindy Guichard
Claire Chainais-Hillairet, Benoît Merlet, Alexis F. Vasseur
François Dubois, Isabelle Greff, Charles Pierre
Naveed Ahmed, Alexander Linke, Christian Merdon
Thierry Goudon, Stella Krell, Giulia Lissoni
J. Droniou, R. Eymard, T. Gallouët, C. Guichard, R. Herbin
Abdallah Bradji
Nina Aguillon, Franck Boyer
Matúš Tibenský, Angela Handlovičová
Ahmed Ait Hammou Oulhaj
Clément Cancès, Flore Nabet
Clément Cancès, Claire Chainais-Hillairet, Stella Krell
Wasilij Barsukow
Jan Giesselmann, Tristan Pryer
Alain Prignet
- Editor
- Cancès, Clément
- Omnes, Pascal
- Publisher
- Springer
- Publication year
- 2017
- Language
- en
- Edition
- 1
- Series
- Springer Proceedings in Mathematics & Statistics
- Page amount
- 12 pages
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9783319573977
- Printed ISBN
- 978-3-319-57396-0