Sommaire du Fascicule no. 1

Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes
On the homogenization of the Helmholtz problem with thin perforated walls of finite length
High-order filtered schemes for time-dependent second order HJB equations
Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes
A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems
Mixed schemes for quad-curl equations
Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel
A priori estimates and optimal finite element approximation of the MHD flow in smooth domains
A Mach-sensitive splitting approach for Euler-like systems
Exponential stability and numerical treatment for piezoelectric beams with magnetic effect
Total variation regularization of multi-material topology optimization
Value function and optimal trajectories for a maximum running cost control problem with state constraints. Application to an abort landing problem
A multigrid algorithm for the p-version of the virtual element method

Sommaire du Fascicule no. 2

A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation
A Hybrid High-Order method for Kirchhoff–Love plate bending problems
Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid
Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation
Scalar problems in junctions of rods and a plate II. Self-adjoint extensions and simulation models
Finite element approximation of an incompressible chemically reacting non-Newtonian fluid
A uniformly accurate (UA) multiscale time integrator pseudospectral method for the nonlinear Dirac equation in the nonrelativistic limit regime
Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation
Analysis of a mimetic finite difference approximation of flows in fractured porous media
Sparse quadrature for high-dimensional integration with Gaussian measure
Multiple traces formulation and semi-implicit scheme for modelling biological cells under electrical stimulation
Goal-oriented error estimation for parameter-dependent nonlinear problems
Cauchy–Born strain energy density for coupled incommensurate elastic chains
Uniform in time error analysis of HDG approximation for Schrödinger equation based on HDG projection
Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data

Sommaire du Fascicule no. 3

Convergence of a semi-discrete numerical method for a class of nonlocal nonlinear wave equations
Error analysis of a finite element approximation of a degenerate Cahn-Hilliard equation
Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media
Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations
Atmospheric radiation boundary conditions for the Helmholtz equation
Virtual Element Method for the Laplace-Beltrami equation on surfaces
Entropy-stable space–time DG schemes for non-conservative hyperbolic systems
Density and trace results in generalized fractal networks
Spectral methods for Langevin dynamics and associated error estimates
Quadratic convergence of Levenberg-Marquardt method for elliptic and parabolic inverse robin problems
Stability estimates for systems with small cross-diffusion,
Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations
Reconstruction of isotropic conductivities from non smooth electric fields
Generalized wave propagation problems and discrete exterior calculus

Sommaire du Fascicule no. 4

Analysis and optimization of weighted ensemble sampling
Large time step HLL and HLLC schemes
Convergence analysis of Padé approximations for Helmholtz frequency response problems
Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner
On assessing the accuracy of defect free energy computations
Modelling and numerical approximation for the nonconservative bitemperature Euler model
Cross-diffusion systems with non-zero flux and moving boundary conditions
Convergence of a vector penalty projection scheme for the Navier Stokes equations with moving body
A virtual element method for the vibration problem of Kirchhoff plates
A posteriori modeling error estimates in the optimization of two-scale elastic composite materials
A second order in time incremental pressure correction finite element method for the Navier-Stokes/Darcy problem
An adjoint-based method for the numerical approximation of shape optimization problems in presence of fluid-structure interaction
Numerical analysis of a nonlinearly stable and positive control volume finite element scheme for Richards equation with anisotropy
Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves
Optimized Schwarz methods for the coupling of cylindrical geometries along the axial direction

Sommaire du Fascicule no. 5

An a posteriori error analysis for an optimal control problem with point sources
Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kinetic-fluid two-phase flow model with random initial inputs in the light particle regime
Congested shallow water model: roof modeling in free surface flow
Error estimates of the third order runge-kutta alternating evolution discontinuous galerkin method for convection-diffusion problems
Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods
A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities
High-frequency behaviour of corner singularities in Helmholtz problems
A posteriori snapshot location for POD in optimal control of linear parabolic equations
Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions
Outgoing wave conditions in photonic crystals and transmission properties at interfaces
Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations
A C0-nonconforming quadrilateral finite element for the fourth-order elliptic singular perturbation problem
Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients
Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients
Fully discrete finite element data assimilation method for the heat equation
Determining the distribution of ion channels from experimental data
Optimal partial transport problem with Lagrangian costs

Sommaire du Fascicule no. 6

A numerical solution to Monge’s problem with a Finsler distance as cost
Analysis of a stabilized penalty-free Nitsche method for the Brinkman, Stokes, and Darcy problems
A time dependent Stokes interface problem: well-posedness and space-time finite element discretization
Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers' equation using a polynomial chaos approach
Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
Optimally convergent hybridizable discontinuous Galerkin method for fifth-order Korteweg-de Vries type equations
Optimal error estimates for fully discrete Galerkin approximations of semilinear parabolic equations
Stability of the ale space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains
On convergent schemes for two-phase flow of dilute polymeric solutions
Simulation and structural optimization of 3d Timoshenko beam networks based on fully analytic network solutions
Mathematical modeling of microtubule dynamic instability: new insight into the link between gtp-hydrolysis and microtubule aging
Asymptotic analysis of optimized Schwarz methods for maxwell’s equations with discontinuous coefficients
A two-energies principle for the biharmonic equation and an a posteriori error estimator for an interior penalty discontinuous Galerkin approximation