Sommaire du Fascicule no. 1

Error estimates for a partially penalized immersed finite element method for elasticity interface problems
p. 1-24
Projector augmented-wave method: an analysis in a one-dimensional setting
p. 25-58
Convergence analysis of a LDG method for tempered fractional convection–diffusion equations
p. 59-78
Time-optimality by distance-optimality for parabolic control systems
p. 79-103
Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications
p. 105-128
Long-time behaviour of the approximate solution to quasi-convolution Volterra equations
p. 129-143
Stable decompositions of h p -BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D
p. 145-180
A variational formulation for computing shape derivatives of geometric constraints along rays
p. 181-228
Finite element approximation of an obstacle problem for a class of integro–differential operators
p. 229-253
Periodic solutions of a hysteresis model for breathing
p. 255-257
Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity
p. 273-299
Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters
p. 301-333
Long-time behavior of numerical solutions to nonlinear fractional ODEs
p. 335-358

Sommaire du Fascicule no. 2

A new methodology to create valid time-dependent correlation matrices via isospectral flows
p. 361-371
A minimum entropy principle in the compressible multicomponent Euler equations
p. 373-389
Ergodic SDEs on submanifolds and related numerical sampling schemes
p. 391-430
Numerical approximation and fast evaluation of the overdamped generalized Langevin equation with fractional noise
p. 431-463
Up-wind difference approximation and singularity formation for a slow erosion model
p. 465-492
On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates
p. 493-529
A Nitsche-based formulation for fluid-structure interactions with contact
p. 531-564
Continuum limit of the nonlocal p -Laplacian evolution problem on random inhomogeneous graphs
p. 565-589
Enhanced positive vertex-centered finite volume scheme for anisotropic convection-diffusion equations
p. 591-618
Non-linear analysis of a model for yeast cell communication
p. 619-648
Multilevel weighted least squares polynomial approximation
p. 649-677
Well-posedness of a non-local model for material flow on conveyor belts
p. 679-704
Research Article
Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using P k elements
p. 705-726

Sommaire du Fascicule no. 3

A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection
p. 727-750
Numerical approximations for fractional elliptic equations via the method of semigroups
p. 751-774
Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation
p. 775-810
Exact simulation of first exit times for one-dimensional diffusion processes
p. 811-844
Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations
p. 845-878
Stochastic homogenization of a scalar viscoelastic model exhibiting stress–strain hysteresis
p. 879-928
Research Article
Exponential convergence of Cartesian PML method for Maxwell’s equations in a two-layer medium
p. 929-956
Research Article
Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions
p. 957-976
Time discretization of an initial value problem for a simultaneous abstract evolution equation applying to parabolic-hyperbolic phase-field systems
p. 977-1002
A Γ -convergence result for fluid-filled fracture propagation
p. 1003-1023
Analysis of the Morley element for the Cahn–Hilliard equation and the Hele-Shaw flow
p. 1025-1052
A remark on Uzawa’s algorithm and an application to mean field games systems
p. 1053-1071

Sommaire du Fascicule no. 4

Computation of the magnetic potential induced by a collection of spherical particles using series expansions
p. 1073-1109
Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology
p. 1111-1138
Numerical analysis of sparse initial data identification for parabolic problems
p. 1139-1180
A finite element method for the generalized Ericksen model of nematic liquid crystals
p. 1181-1220
Research article
Finite element approximation of elliptic homogenization problems in nondivergence-form
p. 1221-1257
Convergence rates of high dimensional Smolyak quadrature
p. 1259-1307
Recovered finite element methods on polygonal and polyhedral meshes
p. 1309-1337
Chemotaxis on networks: Analysis and numerical approximation
p. 1339-1372
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems
p. 1373-1413
Convergence of second-order, entropy stable methods for multi-dimensional conservation laws
p. 1415-1428

Sommaire du Fascicule no. 5

T-junction of ferroelectric wires
p. 1429-1463
Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation
p. 1465-1490
On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential
p. 1491-1508
Reduced Basis Greedy Selection Using Random Training Sets
p. 1509-1524
A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
p. 1525-1568
A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary
p. 1569-1596
A model for suspension of clusters of particle pairs
p. 1597-1634
Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems
p. 1635-1660
Trend to equilibrium for systems with small cross-diffusion
p. 1661-1688
A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem
p. 1689-1723
A dual hybrid virtual element method for plane elasticity problems
p. 1725-1750
PDE eigenvalue iterations with applications in two-dimensional photonic crystals
p. 1751-1776
Higher-order finite element approximation of the dynamic Laplacian
p. 1777-1795

Sommaire du Fascicule no. 6

Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation
p. 1797-1820
Analysis of cell size effects in atomistic crack propagation
p. 1821-1847
Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs
p. 1849-1882
The Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures
p. 1883-1915
Some multiple flow direction algorithms for overland flow on general meshes
p. 1917-1949
Research Article
Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction–diffusion problems
p. 1951-1973
Research Article
High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs
p. 1975-2009
Research Article
Projection-based model reduction with dynamically transformed modes
p. 2011-2043
A parameter-robust iterative method for Stokes–Darcy problems retaining local mass conservation
p. 2045-2067
Research Article
Finite element error analysis of surface Stokes equations in stream function formulation
p. 2069-2097
Galerkin–collocation approximation in time for the wave equation and its post-processing
p. 2099-2123
Geometrically intrinsic modeling of shallow water flows
p. 2125-2157
Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces
p. 2159-2197
Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise
p. 2199-2227
Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system
p. 2229-2264
Numerical algorithm for the model describing anomalous diffusion in expanding media
p. 2265-2294
Locality of interatomic forces in tight binding models for insulators
p. 2295-2318
Mathematical modelling of acoustic radiation force in transient shear wave elastography in the heart
p. 2319-2350
An optimal transport approach for solving dynamic inverse problems in spaces of measures
p. 2351-2382