Sommaire du Fascicule no. 1

Analysis of an optimization-based atomistic-to-continuum coupling method for point defects
Effective transmission conditions for thin-layer transmission problems in elastodynamics. The case of a planar layer model
A relation between a dynamic fracture model and quasi-static evolution
Time domain simulation of a piano. Part 2: numerical aspects
Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities
A minimum-residual mixed reduced basis method: Exact residual certification and simultaneous finite-element reduced-basis refinement
A conservative slide line method for cell-centered semi-Lagrangian and ALE schemes in 2D
A Γ-Convergence Result for the Upper Bound Limit Analysis of Plates
Optimal control of the full time-dependent maxwell equations
Discretization by rational and quasi-rational functions of multi-dimensional elliptic problems in the whole space
Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors

Sommaire du Fascicule no. 2

A hybrid-mixed method for elasticity
A discontinuous Galerkin reduced basis element method for elliptic problems
Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations
Time optimal control for a reaction diffusion system arising in cardiac electrophysiology – a monolithic approach
Electrode modelling: The effect of contact impedance
A Nonconforming Finite Element Approximation for the von Karman equations
Existence of solutions to an elasto-viscoplastic model with kinematic hardening and r-Laplacian fracture approximation
Convergence of a numerical scheme for a mixed hyperbolic-parabolic system in two space dimensions
On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions
Nitsche’s method for parabolic partial differential equations with mixed time varying boundary conditions
Analysis of the penalized 3D variable viscosity stokes equations coupled to diffusion and transport
Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics

Sommaire du Fascicule no. 3

Special Issue – Polyhedral discretization for PDE

Preface
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
Interpolation error estimates for harmonic coordinates on polytopes
Geometrically defined basis functions for polyhedral elements with applications to computational electromagnetics
hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
Mixed virtual element methods for general second order elliptic problems on polygonal meshes
Gradient schemes: Generic tools for the numerical analysis of diffusion equations
A plane wave virtual element method for the Helmholtz problem
Mimetic finite difference approximation of flows in fractured porous media
Constructions of some minimal finite element systems
The arbitrary order mixed mimetic finite difference method for the diffusion equation
The nonconforming virtual element method
The electromagnetic scattering problem with generalized impedance boundary conditions
A robust domain decomposition method for the Helmholtz equation with high wave number

Sommaire du Fascicule no. 4

The Interaction Picture method for solving the generalized nonlinear Schrödinger equation in optics
Stability analysis and error estimates of an exactly divergence-free method for the magnetic induction equations
Domain decomposition method for crack problems with nonpenetration condition
An explicit finite-difference scheme for one-dimensional Generalized Porous Medium Equations: Interface tracking and the hole filling problem
A posteriori analysis of iterative algorithms for Navier–Stokes problem
Substructuring preconditioners for h-p Mortar FEM
Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems
Adaptive low-rank methods for problems on Sobolev spaces with error control in L 2
Error estimates of the integral deferred correction method for stiff problems
A two-fluid four-equation model with instantaneous thermodynamical equilibrium
A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions Part I: Second order linear PDE
Reconstruction of independent sub-domains for a class of Hamilton–Jacobi equations and application to parallel computing
Distributed shape derivative via averaged adjoint method and applications

Sommaire du Fascicule no. 5

Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks
Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient
Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology
Numerical aspects of large-time optimal control of Burgers equation
Convergence rates of supercell calculations in the reduced Hartree−Fock model
Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media
An Interior Penalty Method with C 0 Finite Elements for the Approximation of the Maxwell Equations in Heterogeneous Media: Convergence Analysis with Minimal Regularity
Coupling of a two phase gas liquid compositional 3D Darcy flow with a 1D compositional free gas flow
Energy stable and convergent finite element schemes for the modified phase field crystal equation
Higher-order finite element methods for elliptic problems with interfaces

Sommaire du Fascicule no. 6

Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles
Numerical analysis of Darcy problem on surfaces
Comparison of two-fluid models on steam-water transients
Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems
Semi-Lagrangian discontinuous Galerkin schemes for some first- and second-order partial differential equations
Detectability and state estimation for linear age-structured population diffusion models
Maxwell’s equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods
A posteriori error analysis for a viscous flow-transport problem
Existence and uniqueness of global solutions for the modified anisotropic 3D Navier−Stokes equations
Scaling limits in computational Bayesian inversion
Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems
Nondiffusive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics
A convex analysis approach to multi-material topology optimization