Sommaire du Fascicule no. 1

New mapping properties of the time domain electric field integral equation
Finite element exterior calculus for parabolic problems
A convergent explicit finite difference scheme for a mechanical model for tumor growth
A numerical method for Mean Field Games on networks
An analysis of galerkin proper orthogonal decomposition for subdiffusion
Formal deduction of the Saint-Venant–Exner model including arbitrarily sloping sediment beds and associated energy
Generalized finite element methods for quadratic eigenvalue problems
Superconvergence by M-decompositions. Part II: Construction of two-dimensional finite elements
A stabilized P 1 -nonconforming immersed finite element method for the interface elasticity problems
Optimized waveform relaxation methods for RC circuits: discrete case
Numerical approximation of stochastic conservation laws on bounded domains
Error estimates for a numerical method for the compressible Navier–Stokes system on sufficiently smooth domains
Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients
Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients
Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements

Sommaire du Fascicule no. 2

Mixed finite element methods for linear elasticity and the Stokes equations based on the Helmholtz decomposition
On nontraditional quasi-geostrophic equations
Simultaneous reduced basis approximation of parameterized elliptic eigenvalue problems
Superconvergence of Discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations
Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem
Divergence free virtual elements for the stokes problem on polygonal meshes
A priori diffusion-uniform error estimates for nonlinear singularly perturbed problems: BDF2, midpoint and time DG
Analysis of a dynamic viscoelastic-viscoplastic piezoelectric contact problem
Convergence of solutions to finite difference schemes for singular limits of nonlinear evolutionary PDEs
A Convergent adaptive edge element method for an optimal control problem in magnetostatics
Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques
A generalized Mimetic Finite Difference method and Two-Point Flux schemes over Voronoi diagrams
Standard finite elements for the numerical resolution of the elliptic Monge–Ampère equation: Aleksandrov solutions
Uniform discrete Sobolev estimates of solutions to finite difference schemes for singular limits of nonlinear PDEs

Sommaire du Fascicule no. 3

A contact problem in thermoviscoelastic diffusion theory with second sound
A virtual volume method for heterogeneous and anisotropic diffusion-reaction problems on general meshes
Finite element approximation of Dirichlet control using boundary penalty method for unsteady Navier–Stokes equations
A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media
Bloch waves in crystals and periodic high contrast media
L 2 -stability of a finite element – finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions
Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data
Low-thrust Lyapunov to Lyapunov and Halo to Halo missions with L 2 -minimization
Blended numerical schemes for the advection equation and conservation laws
Domain decomposition preconditioners for the discontinuous Petrov–Galerkin method
Existence and uniqueness of a solution for a field/circuit coupled problem
Stability analysis and error estimates of Lax–Wendroff discontinuous Galerkin methods for linear conservation laws
Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow
Numerical approximation of viscoelastic fluids

Sommaire du Fascicule no. 4

A generalized finite element method for linear thermoelasticity
Preconditioners for the Discontinuous Galerkin time-stepping method of arbitrary order
Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation
A finite volume method for nonlocal competition-mutation equations with a gradient flow structure
Convergence of a Strang splitting finite element discretization for the Schrödinger–Poisson equation
New transmission condition accounting for diffusion anisotropy in thin layers applied to diffusion MRI
A hybrid two-step finite element method for flux approximation: a priori estimates
On the Steklov problem in a domain perforated along a part of the boundary
On the mach-uniformity of the Lagrange-projection scheme
Finite element quasi-interpolation and best approximation
Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves
Numerical analysis of a stabilized finite element approximation for the three-field linearized viscoelastic fluid problem using arbitrary interpolations
Dimensional model reduction for flow through fractures in poroelastic media
A piecewise linear FEM for an optimal control problem of fractional operators: error analysis on curved domains
Analysis and approximations of the evolutionary Stokes equations with inhomogeneous boundary and divergence data using a parabolic saddle point formulation
A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey−Stewartson equations
A second order time-stepping scheme for parabolic interface problems with moving interfaces

Sommaire du Fascicule no. 5

An edge-based scheme on polyhedral meshes for vector advection-reaction equations
A convergent method for linear half-space kinetic equations
Discretization error cancellation in electronic structure calculation: toward a quantitative study
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part I: A nonlinear scheme
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part II: A linear scheme
A DDFV method for a Cahn−Hilliard/Stokes phase field model with dynamic boundary conditions
A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part II: Eigenvalue problems
Spacetime discontinuous Galerkin methods for solving convection-diffusion systems
A penalty method for a linear Koiter shell model
Asymptotic-preserving well-balanced scheme for the electronic M 1 model in the diffusive limit: Particular cases
An Adaptive Parametrized-Background Data-Weak approach to variational data assimilation
Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type
Convergence analysis of a BDF2 / mixed finite element discretization of a Darcy–Nernst–Planck–Poisson system
Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems
Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs
Coriolis effect on water waves
A finite volume method for undercompressive shock waves in two space dimensions
An adaptive finite element PML method for the elastic wave scattering problem in periodic structures

Sommaire du Fascicule no. 6

A note on semilinear fractional elliptic equation: analysis and discretization
Higher order topological derivatives for three-dimensional anisotropic elasticity
Semi-discrete error estimates and implementation of a mixed method for the Stefan problem
Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems
A posteriori error analysis for the optimal control of magneto-static fields
Geometric constraints in descent methods for shape optimisation
Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients
Adaptive approximation of the Monge–Kantorovich problem via primal-dual gap estimates
Analysis of patch-test consistent atomistic-to-continuum coupling with higher-order finite elements
Cellulose biodegradation models; an example of cooperative interactions in structured populations
Finite element approximation for the dynamics of fluidic two-phase biomembranes
A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation
Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: necessary and sufficient conditions of stability
Error analysis of truncated expansion solutions to high-dimensional parabolic PDEs
FEM for quasilinear obstacle problems in bad domains
Analysis of an ungauged T, φ–φ formulation of the eddy current problem with currents and voltage excitations
Inhomogeneous steady-state problem of complex heat transfer