Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Table of Contents

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   Book Overview
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   Chapter 1 Bound-Preserving High Order Finite Volume Schemes for Conservation Laws and Convection-Diffusion Equations
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   Chapter 2 Some Geophysical Applications with Finite Volume Solvers of Two-Layer and Two-Phase Systems
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   Chapter 3 Some Discrete Functional Analysis Tools
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   Chapter 4 A Simple Finite-Volume Method on a Cartesian Mesh for Pedestrian Flows with Obstacles
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   Chapter 5 Benchmark Proposal for the FVCA8 Conference: Finite Volume Methods for the Stokes and Navier–Stokes Equations
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   Chapter 6 A High-Order Finite Volume Solver on Locally Refined Cartesian Meshes—Benchmark Session
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   Chapter 7 Benchmark Session: The 2D Hybrid High-Order Method
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   Chapter 8 Benchmark: Two Hybrid Mimetic Mixed Schemes for the Lid-Driven Cavity
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    Chapter 9 Results with a Locally Refined MAC-Like Scheme—Benchmark Session
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    Chapter 10 Numerical Results for a Discrete Duality Finite Volume Discretization Applied to the Navier–Stokes Equations
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    Chapter 11 Benchmark Session: The 2D Discrete Duality Finite Volume Method
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    Chapter 12 FVCA8 Benchmark for the Stokes and Navier–Stokes Equations with the TrioCFD Code—Benchmark Session
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    Chapter 13 Analysis of a Positive CVFE Scheme for Simulating Breast Cancer Development, Local Treatment and Recurrence
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    Chapter 14 Céa-Type Quasi-Optimality and Convergence Rates for (Adaptive) Vertex-Centered FVM
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    Chapter 15 Numerical Convergence for a Diffusive Limit of the Goldstein–Taylor System on Bounded Domain
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    Chapter 16 Lagrange-Flux Schemes and the Entropy Property
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    Chapter 17 $$L^\infty $$ -Stability of IMEX-BDF2 Finite Volume Scheme for Convection-Diffusion Equation
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    Chapter 18 Low Mach Number Limit of a Pressure Correction MAC Scheme for Compressible Barotropic Flows
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    Chapter 19 Convergence of the MAC Scheme for Variable Density Flows
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    Chapter 20 Uniform-in-Time Convergence of Numerical Schemes for a Two-Phase Discrete Fracture Model
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    Chapter 21 Design and Analysis of a Finite Volume Scheme for a Concrete Carbonation Model
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    Chapter 22 Equilibrated Stress Reconstructions for Linear Elasticity Problems with Application to a Posteriori Error Analysis
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    Chapter 23 Uniform Second Order Convergence of a Complete Flux Scheme on Nonuniform 1D Grids
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    Chapter 24 The Asymmetric Gradient Discretisation Method
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    Chapter 25 DGM, an Item of GDM
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    Chapter 26 Positive Lower Bound for the Numerical Solution of a Convection-Diffusion Equation
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    Chapter 27 Raviart Thomas Petrov–Galerkin Finite Elements
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    Chapter 28 Towards Pressure-Robust Mixed Methods for the Incompressible Navier–Stokes Equations
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    Chapter 29 Numerical Analysis of the DDFV Method for the Stokes Problem with Mixed Neumann/Dirichlet Boundary Conditions
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    Chapter 30 An Error Estimate for the Approximation of Linear Parabolic Equations by the Gradient Discretization Method
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    Chapter 31 Uniform $$L^{\infty }$$ Estimates for Approximate Solutions of the Bipolar Drift-Diffusion System
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    Chapter 32 Some Convergence Results of a Multi-dimensional Finite Volume Scheme for a Time-Fractional Diffusion-Wave Equation
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    Chapter 33 Optimal Order of Convergence for the Upwind Scheme for the Linear Advection on a Bounded Domain
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    Chapter 34 Numerical Scheme for Regularised Riemannian Mean Curvature Flow Equation
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    Chapter 35 A Finite Volume Scheme for a Seawater Intrusion Model with Cross-Diffusion
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    Chapter 36 Finite Volume Approximation of a Degenerate Immiscible Two-Phase Flow Model of Cahn–Hilliard Type
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    Chapter 37 A Nonlinear Discrete Duality Finite Volume Scheme for Convection-Diffusion Equations
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    Chapter 38 Stationarity and Vorticity Preservation for the Linearized Euler Equations in Multiple Spatial Dimensions
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    Chapter 39 Goal-Oriented Error Analysis of a DG Scheme for a Second Gradient Elastodynamics Model
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    Chapter 40 Simplified Model for the Clarinet and Numerical Schemes