Issue no. 1 Table of Contents

Existence and uniqueness of solutions to dynamical unilateral contact problems with coulomb friction: the case of a collection of points
p. 1-25
Multiscale modelling of sound propagation through the lung parenchyma
p. 27-52
A numerical perspective on Hartree-Fock-Bogoliubov theory
p. 53-86
A Bermúdez-Moreno algorithm adapted to solve a viscoplastic problem in alloy solidification processes
p. 87-106
Non linear schemes for the heat equation in 1D
p. 107-134
Error estimates for Galerkin reduced-order models of the semi-discrete wave equation
p. 135-163
A robust entropy-satisfying finite volume scheme for the isentropic Baer-Nunziato model
p. 165-206
Accurate and online-efficient evaluation of the a posteriori error bound in the reduced basis method
p. 207-229
A hyperbolic model of chemotaxis on a network: a numerical study
p. 231-258
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods
p. 259-283
Stabilization of a non standard FETI-DP mortar method for the Stokes problem
p. 285-304

Issue no. 2 Table of Contents

Multiscale problems and techniques. Special Issue

Preface
p. 305
Which electric fields are realizable in conducting materials?
p. 307-323
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
p. 325-346
On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients
p. 347-386
Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential
p. 387-409
Asymptotics of a Time-Splitting Scheme for the Random Schrödinger Equation with Long-Range Correlations
p. 411-431
Sweeping preconditioners for elastic wave propagation with spectral element methods
p. 433-447
A Multiscale Model Reduction Method for Partial Differential Equations
p. 449-474
A Multiscale Enrichment Procedure for Nonlinear Monotone Operators
p. 475-491
Machine Computation Using the Exponentially Convergent Multiscale Spectral Generalized Finite Element Method
p. 493-515
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
p. 517-552
Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes
p. 553-581
Second-order MUSCL schemes based on Dual Mesh Gradient Reconstruction (DMGR)
p. 583-602
A modified quasi-boundary value method for the backward time-fractional diffusion problem
p. 603-621

Issue no. 3 Table of Contents

Double greedy algorithms: Reduced basis methods for transport dominated problems
p. 623-663
A positivity preserving central scheme for shallow water flows in channels with wet-dry states
p. 665-696
Convergence of a variational lagrangian scheme for a nonlinear drift diffusion equation
p. 697-726
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM
p. 727-752
Convergence analysis of the lowest order weakly penalized adaptive discontinuous Galerkin methods
p. 753-764
Numerical analysis of modular regularization methods for the BDF2 time discretization of the Navier-Stokes equations
p. 765-793
Parallel Schwarz Waveform Relaxation Algorithm for an N-dimensional semilinear heat equation
p. 795-813
Multiscale Finite Element approach for “weakly” random problems and related issues
p. 815-858
Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes' problem
p. 859-874
Space-time variational saddle point formulations of Stokes and Navier-Stokes equations
p. 875-894
Interface model coupling via prescribed local flux balance
p. 895-918
Numerical analysis of history-dependent quasivariational inequalities with applications in contact mechanics
p. 919-942

Issue no. 4 Table of Contents

A weighted empirical interpolation method: a priori convergence analysis and applications
p. 943-953
A new quadrilateral MINI-element for Stokes equations
p. 955-968
A mixed formulation of a sharp interface model of stokes flow with moving contact lines
p. 969-1009
Reconstruction of thickness variation of a dielectric coating through the generalized impedance boundary conditions
p. 1011-1027
High order semi-lagrangian particle methods for transport equations: numerical analysis and implementation issues
p. 1029-1060
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system
p. 1061-1087
A reduced model for Darcy's problem in networks of fractures
p. 1089-1116
Anisotropic mesh refinement in polyhedral domains: error estimates with data in L 2 (Ω)
p. 1117-1145
Convergence of mass redistribution method for the one-dimensional wave equation with a unilateral constraint at the boundary
p. 1147-1169
Formal passage from kinetic theory to incompressible Navier-Stokes equations for a mixture of gases
p. 1171-1197
An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier-Stokes flows
p. 1199-1226
Basic principles of mixed Virtual Element Methods
p. 1227-1240

Issue no. 5 Table of Contents

Time domain simulation of a piano. Part 1: model description
p. 1241-1278
The periodic unfolding method for a class of parabolic problems with imperfect interfaces
p. 1279-1302
Parameter estimation in non-linear mixed effects models with SAEM algorithm: extension from ODE to PDE
p. 1303-1329
A localized orthogonal decomposition method for semi-linear elliptic problems
p. 1331-1349
Measuring the Irreversibility of Numerical Schemes for Reversible Stochastic Differential Equations
p. 1351-1379
Adaptive mesh refinement strategy for a non conservative transport problem
p. 1381-1412
Error estimates for Stokes problem with Tresca friction conditions
p. 1413-1429
Equivalent Boundary Conditions for an Elasto-Acoustic Problem set in a Domain with a Thin Layer
p. 1431-1449
Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture
p. 1451-1472
Robust operator estimates and the application to substructuring methods for first-order systems
p. 1473-1494
Scalar boundary value problems on junctions of thin rods and plates
p. 1495-1528
Mathematical modeling of time-harmonic aeroacoustics with a generalized impedance boundary condition
p. 1529-1555

Issue no. 6 Table of Contents

A posteriori error estimates for elliptic problems with Dirac measure terms in weighted spaces
p. 1557-1581
Derivation of a homogenized two-temperature model from the heat equation
p. 1583-1613
A Posteriori Error Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems
p. 1615-1638
Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law
p. 1639-1679
The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
p. 1681-1699
Highly anisotropic nonlinear temperature balance equation and its numerical solution using asymptotic-preserving schemes of second order in time
p. 1701-1724
Monotone (A,B) entropy stable numerical scheme for Scalar Conservation Laws with discontinuous flux
p. 1725-1755
Regularity and approximability of the solutions to the chemical master equation
p. 1757-1775
A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems
p. 1777-1806
On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations
p. 1807-1857
Moving Dirichlet boundary conditions
p. 1859-1876