Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects : FVCA 8, Lille, France, June 2017

Front Matter....Pages i-xii
Front Matter....Pages 1-1
Bound-Preserving High Order Finite Volume Schemes for Conservation Laws and Convection-Diffusion Equations....Pages 3-14
Some Geophysical Applications with Finite Volume Solvers of Two-Layer and Two-Phase Systems ....Pages 15-27
Some Discrete Functional Analysis Tools....Pages 29-41
A Simple Finite-Volume Method on a Cartesian Mesh for Pedestrian Flows with Obstacles ....Pages 43-55
Front Matter....Pages 57-57
Benchmark Proposal for the FVCA8 Conference: Finite Volume Methods for the Stokes and Navier–Stokes Equations....Pages 59-71
A High-Order Finite Volume Solver on Locally Refined Cartesian Meshes—Benchmark Session....Pages 73-89
Benchmark Session: The 2D Hybrid High-Order Method....Pages 91-106
Benchmark: Two Hybrid Mimetic Mixed Schemes for the Lid-Driven Cavity....Pages 107-124
Results with a Locally Refined MAC-Like Scheme—Benchmark Session....Pages 125-139
Numerical Results for a Discrete Duality Finite Volume Discretization Applied to the Navier–Stokes Equations....Pages 141-161
Benchmark Session: The 2D Discrete Duality Finite Volume Method....Pages 163-180
FVCA8 Benchmark for the Stokes and Navier–Stokes Equations with the TrioCFD Code—Benchmark Session....Pages 181-202
Front Matter....Pages 203-203
Analysis of a Positive CVFE Scheme for Simulating Breast Cancer Development, Local Treatment and Recurrence....Pages 205-213
Céa-Type Quasi-Optimality and Convergence Rates for (Adaptive) Vertex-Centered FVM....Pages 215-223
Numerical Convergence for a Diffusive Limit of the Goldstein–Taylor System on Bounded Domain....Pages 225-233
Lagrange-Flux Schemes and the Entropy Property....Pages 235-243
Low Mach Number Limit of a Pressure Correction MAC Scheme for Compressible Barotropic Flows....Pages 245-253
Convergence of the MAC Scheme for Variable Density Flows....Pages 255-263
Uniform-in-Time Convergence of Numerical Schemes for a Two-Phase Discrete Fracture Model....Pages 265-273
Front Matter....Pages 275-283
Design and Analysis of a Finite Volume Scheme for a Concrete Carbonation Model....Pages 203-203
Equilibrated Stress Reconstructions for Linear Elasticity Problems with Application to a Posteriori Error Analysis....Pages 285-292
Uniform Second Order Convergence of a Complete Flux Scheme on Nonuniform 1D Grids....Pages 293-301
The Asymmetric Gradient Discretisation Method....Pages 303-310
DGM, an Item of GDM....Pages 311-319
Positive Lower Bound for the Numerical Solution of a Convection-Diffusion Equation ....Pages 321-329
Raviart Thomas Petrov–Galerkin Finite Elements ....Pages 331-339
Towards Pressure-Robust Mixed Methods for the Incompressible Navier–Stokes Equations....Pages 341-349
Numerical Analysis of the DDFV Method for the Stokes Problem with Mixed Neumann/Dirichlet Boundary Conditions....Pages 351-359
An Error Estimate for the Approximation of Linear Parabolic Equations by the Gradient Discretization Method....Pages 361-369
Some Convergence Results of a Multi-dimensional Finite Volume Scheme for a Time-Fractional Diffusion-Wave Equation....Pages 371-379
Optimal Order of Convergence for the Upwind Scheme for the Linear Advection on a Bounded Domain....Pages 381-389
Numerical Scheme for Regularised Riemannian Mean Curvature Flow Equation....Pages 391-399
A Finite Volume Scheme for a Seawater Intrusion Model with Cross-Diffusion....Pages 401-409
Finite Volume Approximation of a Degenerate Immiscible Two-Phase Flow Model of Cahn–Hilliard Type....Pages 411-419
A Nonlinear Discrete Duality Finite Volume Scheme for Convection-Diffusion Equations....Pages 421-429
Stationarity and Vorticity Preservation for the Linearized Euler Equations in Multiple Spatial Dimensions....Pages 431-438
Goal-Oriented Error Analysis of a DG Scheme for a Second Gradient Elastodynamics Model....Pages 439-447
Simplified Model for the Clarinet and Numerical Schemes....Pages 449-456
Back Matter....Pages 457-466
....Pages 467-474