Issue no. Supplément Table of Contents

Publisher’s Note
p. S1
Numerical approximations for a fully fractional Allen–Cahn equation
p. S3-S28
On a class of splines free of Gibbs phenomenon
p. S29-S64
An integral equation formulation of the N-body dielectric spheres problem. Part I: numerical analysis
p. S65-S102
Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions
p. S103-S147
Computing homogenized coefficients via multiscale representation and hierarchical hybrid grids
p. S149-S185
A local discontinuous Galerkin method for nonlinear parabolic SPDEs
p. S187-S223
A convergent convex splitting scheme for a nonlocal Cahn–Hilliard–Oono type equation with a transport term
p. S225-S250
A four-field three-phase flow model with both miscible and immiscible components
p. S251-S278
Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem
p. S279-S300
On particles and splines in bounded domains
p. S301-S321
Operator splitting around Euler–Maruyama scheme and high order discretization of heat kernels
p. S323-S367
Explicit solutions to a free interface model for the static/flowing transition in thin granular flows
p. S369-S395
Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables
p. S397-S416
Numerical analysis for a chemotaxis-Navier–Stokes system
p. S417-S445
Guaranteed and robust L 2 -norm a posteriori error estimates for 1D linear advection problems
p. S447-S474
Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model
p. S475-S506
An asymptotic model based on matching far and near field expansions for thin gratings problems
p. S507-S533
Discrete transparent boundary conditions for the two-dimensional leap-frog scheme: approximation and fast implementation
p. S535-S571
Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems
p. S573-S591
Convergence of the likelihood ratio method for linear response of non-equilibrium stationary states
p. S593-S623
An integral equation formulation of the N -body dielectric spheres problem. Part II: complexity analysis
p. S625-S651
Analytical and numerical bifurcation analysis of a forest ecosystem model with human interaction
p. S653-S675
General polytopal H ( div ) -conformal finite elements and their discretisation spaces
p. S677-S704
Asymptotic behavior of acoustic waves scattered by very small obstacles
p. S705-S731
Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics
p. S733-S759
Numerical upscaling for heterogeneous materials in fractured domains
p. S761-S784
A polygonal discontinuous Galerkin method with minus one stabilization
p. S785-S810
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems
p. S811-S851
Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics
p. S853-S875
Erratum to “A C1-P2 finite element without nodal basis”
p. S877-S878
Optimal a priori error estimates in weighted Sobolev spaces for the Poisson problem with singular sources
p. S879-S907
On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity
p. S909-S939
Nitsche-based models for the unilateral contact of plates
p. S941-S967
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation
p. S969-S991
Mixed methods for degenerate elliptic problems and application to fractional Laplacian
p. S993-S1019

Issue no. 1 Table of Contents

Asymptotic analysis for periodic perforated shells
p. 1-36
An iterative method for elliptic problems with rapidly oscillating coefficients
p. 37-55
Electromagnetic Steklov eigenvalues: approximation analysis
p. 57-76
Nonlocal pagerank
p. 77-97
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs
p. 99-130
Quantification of model uncertainty on path-space via goal-oriented relative entropy
p. 131-169
Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order
p. 171-207
Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics
p. 209-227
Phase-field dynamics with transfer of materials: The Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions
p. 229-282
Further results on a space-time FOSLS formulation of parabolic PDEs
p. 283-299
Error estimation of the Besse Relaxation Scheme for a semilinear heat equation
p. 301-328
Central discontinuous Galerkin methods on overlapping meshes for wave equations
p. 329-356

Issue no. 2 Table of Contents

Various choices of source terms for a class of two-fluid two-velocity models
p. 357-380
Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods
p. 381-407
On a nonlinear Schrödinger equation for nucleons in one space dimension
p. 409-427
Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions
p. 429-448
Unified analysis of discontinuous Galerkin and C 0 -interior penalty finite element methods for Hamilton–Jacobi–Bellman and Isaacs equations
p. 449-478
Analysis of a backward Euler-type scheme for Maxwell’s equations in a Havriliak–Negami dispersive medium
p. 479-506
Nonlinear methods for model reduction
p. 507-531
A virtual element method for the von Kármán equations
p. 533-560
On error estimation for reduced-order modeling of linear non-parametric and parametric systems
p. 561-594
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion
p. 595-625
Mathematical model of heat transfer through a conductive pipe
p. 627-658
Residual-based a posteriori error analysis for the coupling of the Navier–Stokes and Darcy–Forchheimer equations
p. 659-687
A non-local macroscopic model for traffic flow
p. 689-711

Issue no. 3 Table of Contents

Numerical dissipation switch for two-dimensional central-upwind schemes
p. 713-734
Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations
p. 735-761
Numerical solution of large scale Hartree–Fock–Bogoliubov equations
p. 763-787
Thermal flows in fractured porous media
p. 789-805
Viscoelastic flows of Maxwell fluids with conservation laws
p. 807-831
Stable approximations for axisymmetric Willmore flow for closed and open surfaces
p. 833-885
Analysis of a contact problem for a viscoelastic Bresse system
p. 887-911
An efficient variable step-size method for options pricing under jump-diffusion models with nonsmooth payoff function
p. 913-938
A generalized finite element method for problems with sign-changing coefficients
p. 939-967
Finite Volume approximation of a two-phase two fluxes degenerate Cahn–Hilliard model
p. 969-1003
New H ( div ) -conforming multiscale hybrid-mixed methods for the elasticity problem on polygonal meshes
p. 1005-1037
Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux
p. 1039-1065
A finite volume scheme for the solution of a mixed discrete-continuous fragmentation model
p. 1067-1101
Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation
p. 1103-1131
Symmetry and scaling limits for matching of implicit surfaces based on thin shell energies
p. 1133-1161
Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputs
p. 1163-1198
Construction of a low Mach finite volume scheme for the isentropic Euler system with porosity
p. 1199-1237
A non-conforming dual approach for adaptive Trust-Region reduced basis approximation of PDE-constrained parameter optimization
p. 1239-1269

Issue no. 4 Table of Contents

Non-overlapping Schwarz algorithms for the incompressible Navier–Stokes equations with DDFV discretizations
p. 1271-1321
On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation
p. 1323-1345
A priori error estimates for the space-time finite element approximation of a quasilinear gradient enhanced damage model
p. 1347-1374
A generalized finite element method for the strongly damped wave equation with rapidly varying data
p. 1375-1404
Strong bounded variation estimates for the multi-dimensional finite volume approximation of scalar conservation laws and application to a tumour growth model
p. 1405-1437
Generalized finite difference schemes with higher order Whitney forms
p. 1439-1460
MDFEM: Multivariate decomposition finite element method for elliptic PDEs with lognormal diffusion coefficients using higher-order QMC and FEM
p. 1461-1505
Construction and convergence analysis of conservative second order local time discretisation for linear wave equations
p. 1507-1543
Maxwell quasi-variational inequalities in superconductivity
p. 1545-1568
A homogeneous relaxation low mach number model
p. 1569-1598
Complexity Analysis of stochastic gradient methods for PDE-constrained optimal Control Problems with uncertain parameters
p. 1599-1633
Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime
p. 1635-1668
Existence of traveling wave solutions for the Diffusion Poisson Coupled Model: a computer-assisted proof
p. 1669-1697

Issue no. 5 Table of Contents

Numerical analysis of a Reynolds Stress Model for turbulent mixing: the one-dimensional case
p. 1699-1740
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces
p. 1741-1777
A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering
p. 1779-1802
The model reduction of the Vlasov–Poisson–Fokker–Planck system to the Poisson–Nernst–Planck system via the Deep Neural Network Approach
p. 1803-1846
Computation of optimal transport with finite volumes
p. 1847-1871
Morley finite element method for the von Kármán obstacle problem
p. 1873-1894
Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates
p. 1895-1920
Quasi-optimal adaptive hybridized mixed finite element methods for linear elasticity
p. 1921-1939
Error estimate of the non-intrusive reduced basis method with finite volume schemes
p. 1941-1961
Finite element approximation of steady flows of colloidal solutions
p. 1963-2011
An adaptive edge element method and its convergence for an electromagnetic constrained optimal control problem
p. 2013-2044
A hybrid high-order method for creeping flows of non-Newtonian fluids
p. 2045-2073
Local finite element approximation of Sobolev differential forms
p. 2075-2099
Upstream mobility finite volumes for the Richards equation in heterogenous domains
p. 2101-2139
Nontensorial generalised hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators
p. 2141-2168
Local L 2 -bounded commuting projections in FEEC
p. 2169-2184
A central-upwind scheme for two-layer shallow-water flows with friction and entrainment along channels
p. 2185-2210
Numerical discretization and fast approximation of a variably distributed-order fractional wave equation
p. 2211-2232
SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis
p. 2233-2258
A method to enrich experimental datasets by means of numerical simulations in view of classification tasks
p. 2259-2291
A posteriori error estimates for semilinear optimal control problems
p. 2293-2322
Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn–Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity
p. 2323-2347
An embedded discontinuous Galerkin method for the Oseen equations
p. 2349-2364
Existence of solutions and continuous and semi-discrete stability estimates for 3D/0D coupled systems modelling airflows and blood flows
p. 2365-2419
Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems
p. 2421-2443
Fast solver for quasi-periodic 2D-Helmholtz scattering in layered media
p. 2445-2472
A structured coagulation-fragmentation equation in the space of radon measures: Unifying discrete and continuous models
p. 2473-2501
Basic convergence theory for the network element method
p. 2503-2533
A virtual element discretization for the time dependent Navier–Stokes equations in stream-function formulation
p. 2535-2566

Issue no. 6 Table of Contents

A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations
p. 2567-2608
A variational sheath model for stationary gyrokinetic Vlasov–Poisson equations
p. 2609-2642
Finite element methods for the Darcy-Forchheimer problem coupled with the convection-diffusion-reaction problem
p. 2643-2678
A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow
p. 2679-2703
On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws
p. 2705-2723
A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations
p. 2725-2758
Flux recovery for Cut Finite Element Method and its application in a posteriori error estimation
p. 2759-2784
Convergence analysis of adaptive DIIS algorithms with application to electronic ground state calculations
p. 2785-2825
A Krylov subspace type method for Electrical Impedance Tomography
p. 2827-2847
Global existence of weak solutions to unsaturated poroelasticity
p. 2849-2897
Local defect-correction method based on multilevel discretization for Steklov eigenvalue problem
p. 2899-2920
An adaptive finite element DtN method for the elastic wave scattering by biperiodic structures
p. 2921-2947
Diffusive limits of 2D well-balanced schemes for kinetic models of neutron transport
p. 2949-2980
An analysis of the unified formulation for the equilibrium problem of compositional multiphase mixtures
p. 2981-3016
Consistency and convergence for a family of finite volume discretizations of the Fokker–Planck operator
p. 3017-3042
Convergence of nonlinear numerical approximations for an elliptic linear problem with irregular data
p. 3043-3089
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains
p. 3091-3114