Cancès, Clément

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Cancès, Clément - Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects, ebook


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Table of contents

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


Caterina Calgaro, Meriem Ezzoug

18. Low Mach Number Limit of a Pressure Correction MAC Scheme for Compressible Barotropic Flows
Raphaèle Herbin, Jean-Claude Latché, Khaled Saleh

19. Convergence of the MAC Scheme for Variable Density Flows
T. Gallouët, R. Herbin, J.-C. Latché, K. Mallem

20. Uniform-in-Time Convergence of Numerical Schemes for a Two-Phase Discrete Fracture Model
J. Droniou, J. Hennicker, R. Masson

21. Design and Analysis of a Finite Volume Scheme for a Concrete Carbonation Model
Claire Chainais-Hillairet, Benoît Merlet, Antoine Zurek

22. Equilibrated Stress Reconstructions for Linear Elasticity Problems with Application to a Posteriori Error Analysis
Rita Riedlbeck, Daniele A. Pietro, Alexandre Ern

23. Uniform Second Order Convergence of a Complete Flux Scheme on Nonuniform 1D Grids
Patricio Farrell, Alexander Linke

24. The Asymmetric Gradient Discretisation Method
J. Droniou, R. Eymard

25. DGM, an Item of GDM
Robert Eymard, Cindy Guichard

26. Positive Lower Bound for the Numerical Solution of a Convection-Diffusion Equation
Claire Chainais-Hillairet, Benoît Merlet, Alexis F. Vasseur

27. Raviart Thomas Petrov–Galerkin Finite Elements
François Dubois, Isabelle Greff, Charles Pierre

28. Towards Pressure-Robust Mixed Methods for the Incompressible Navier–Stokes Equations
Naveed Ahmed, Alexander Linke, Christian Merdon

29. Numerical Analysis of the DDFV Method for the Stokes Problem with Mixed Neumann/Dirichlet Boundary Conditions
Thierry Goudon, Stella Krell, Giulia Lissoni

30. An Error Estimate for the Approximation of Linear Parabolic Equations by the Gradient Discretization Method
J. Droniou, R. Eymard, T. Gallouët, C. Guichard, R. Herbin

31. Uniform

M. Bessemoulin-Chatard, C. Chainais-Hillairet, A. Jüngel

32. Some Convergence Results of a Multi-dimensional Finite Volume Scheme for a Time-Fractional Diffusion-Wave Equation
Abdallah Bradji

33. Optimal Order of Convergence for the Upwind Scheme for the Linear Advection on a Bounded Domain
Nina Aguillon, Franck Boyer

34. Numerical Scheme for Regularised Riemannian Mean Curvature Flow Equation
Matúš Tibenský, Angela Handlovičová

35. A Finite Volume Scheme for a Seawater Intrusion Model with Cross-Diffusion
Ahmed Ait Hammou Oulhaj

36. Finite Volume Approximation of a Degenerate Immiscible Two-Phase Flow Model of Cahn–Hilliard Type
Clément Cancès, Flore Nabet

37. A Nonlinear Discrete Duality Finite Volume Scheme for Convection-Diffusion Equations
Clément Cancès, Claire Chainais-Hillairet, Stella Krell

38. Stationarity and Vorticity Preservation for the Linearized Euler Equations in Multiple Spatial Dimensions
Wasilij Barsukow

39. Goal-Oriented Error Analysis of a DG Scheme for a Second Gradient Elastodynamics Model
Jan Giesselmann, Tristan Pryer

40. Simplified Model for the Clarinet and Numerical Schemes
Alain Prignet

Keywords: Mathematics, Computational Mathematics and Numerical Analysis, Fluid- and Aerodynamics, Numerical and Computational Physics, Simulation

Publication year
Springer Proceedings in Mathematics & Statistics
Page amount
12 pages
Natural Sciences
Printed ISBN

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