Sommaire du Fascicule no. 1

Diffusion limit of Fokker−Planck equation with heavy tail equilibria
On the Numerical Integration of Scalar Nonlocal Conservation Laws
Development and stability analysis of the inverse Lax−Wendroff boundary treatment for central compact schemes
Error estimates of Runge–Kutta discontinuous galerkin methods for the Vlasov–Maxwell system
A two-phase shallow debris flow model with energy balance
Analysis of eddy current formulations in two-dimensional domains with cracks
Numerical analysis for a three interacting species model with nonlocal and cross diffusion
The cell functional minimization scheme for the anisotropic diffusion problems on arbitrary polygonal grids
Comments on iterative schemes for high order compact discretizations to the exterior Helmholtz equation
An analysis of HDG methods for convection-dominated diffusion problems
An analysis of Feng’s and other symmetric local absorbing boundary conditions
Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model

Sommaire du Fascicule no. 2

Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media
Efficient preconditioning of variational time discretization methods for parabolic Partial Differential Equations
Convergence of the cell average technique for Smoluchowski coagulation equation
Discretized fractional substantial calculus
Parallelizing the Kolmogorov Fokker Planck Equation
On the stable numerical approximation of two-phase flow with insoluble surfactant
Regularized recursive Newton-type methods for inverse scattering problems using multifrequency measurements
A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes
A Nitsche finite element method for dynamic contact: 2. Stability of the schemes and numerical experiments
Error estimate for a finite volume scheme in a geometrical multi-scale domain
Fast and accurate finite element approximation of wave maps into spheres
Supercloseness of orthogonal projections onto nearby finite element spaces
Residual a posteriori error estimation for the Virtual Element Method for elliptic problems
The dispersive wave dynamics of a two-phase flow relaxation model

Sommaire du Fascicule no. 3

Spectral discretization of the Navier–Stokes equations coupled with the heat equation
The reduced order NS-α model for incompressible flow: theory, numerical analysis and benchmark testing
An a posteriori error estimation for the discrete duality finite volume discretization of the Stokes equations
High order numerical methods for highly oscillatory problems
Continuous analysis of the additive Schwarz method: A stable decomposition in H 1 with explicit constants
Localized and complete resonance in plasmonic structures
Numerical analysis of augmented plane wave methods for full-potential electronic structure calculations
Reduced basis techniques for nonlinear conservation laws
Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs
An effective preconditioner for a PML system for electromagnetic scattering problem
Stabilized mixed approximation of axisymmetric Brinkman flows
Small-time solvability of primitive equations for the ocean with spatially-varying vertical mixing

Sommaire du Fascicule no. 4

Shape Optimization for Stokes flows: a finite element convergence analysis
Convergence of a high order method in time and space for the miscible displacement equations
Comparison Results of Nonstandard P 2 Finite Element Methods for the Biharmonic Problem
A priori error estimates to smooth solutions of the third order Runge–Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws
Numerical Solution of the Viscous Surface Wave with Discontinuous Galerkin Method
Uncertainty quantification in the numerical solution of coupled systems by involutive completion
Semi hybrid method for heterogeneous and anisotropic diffusion problems on general meshes
Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation
Galerkin methods for a Schrödinger-type equation with a dynamical boundary condition in two dimensions
Well posedness and finite element approximability of two-dimensional time-harmonic electromagnetic problems involving non-conducting moving objects with stationary boundaries
Adaptive Crouzeix–Raviart boundary element method
A reduced discrete inf-sup condition in L p for incompressible flows and application

Sommaire du Fascicule no. 5

Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition
A Finite Element Method with Singularity Reconstruction for Fractional Boundary Value Problems
Computing quantities of interest for random domains with second order shape sensitivity analysis
A trace finite element method for a class of coupled bulk-interface transport problems
Energy conservation and numerical stability for the reduced MHD models of the non-linear JOREK code
A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes
An augmented mixed-primal finite element method for a coupled flow-transport problem
Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations
Maximum Norm Regularity of Periodic Elliptic Difference Operators With Variable Coefficients
A BV functional and its relaxation for joint motion estimation and image sequence recovery
Finite element decomposition and minimal extension for flow equations
Discretization of the 3d monge−ampere operator, between wide stencils and power diagrams
Layer structure and the galerkin finite element method for a system of weakly coupled singularly perturbed convection-diffusion equations with multiple scales

Sommaire du Fascicule no. 6

Optimal Transport

Preface
Foreword
A hybrid variational principle for the Keller–Segel system in ℝ 2
Numerical solution of the Monge–Kantorovich problem by density lift-up continuation
Connections between optimal transport, combinatorial optimization and hydrodynamics
Optimal regions for congested transport
Numerical methods for matching for teams and Wasserstein barycenters
Optimal transport with Coulomb cost. Approximation and duality
Optimal pits and optimal transportation
Multi-physics optimal transportation and image interpolation
A Numerical Algorithm for L 2 Semi-Discrete Optimal Transport in 3D
Eulerian models and algorithms for unbalanced optimal transport
A generalized model for optimal transport of images including dissipation and density modulation
Multi-marginal optimal transport: Theory and applications
Motivations, ideas and applications of ramified optimal transportation