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

Charles, Alexandre; Ballard, Patrick

p. 1-25
Multiscale modelling of sound propagation through the lung parenchyma

Cazeaux, Paul; Hesthaven, Jan S.

p. 27-52
A numerical perspective on Hartree-Fock-Bogoliubov theory

Lewin, Mathieu; Paul, Séverine

p. 53-86
A Bermúdez-Moreno algorithm adapted to solve a viscoplastic problem in alloy solidification processes

Barral, P.; Quintela, P.; Sánchez, M. T.

p. 87-106
Non linear schemes for the heat equation in 1D

Després, Bruno

p. 107-134
Error estimates for Galerkin reduced-order models of the semi-discrete wave equation

Amsallem, D.; Hetmaniuk, U.

p. 135-163
A robust entropy-satisfying finite volume scheme for the isentropic Baer-Nunziato model

Coquel, Frédéric; Hérard, Jean-Marc; Saleh, Khaled; Seguin, Nicolas

p. 165-206
Accurate and online-efficient evaluation of the a posteriori error bound in the reduced basis method

Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony

p. 207-229
A hyperbolic model of chemotaxis on a network: a numerical study

Bretti, G.; Natalini, R.; Ribot, M.

p. 231-258
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods

Hesthaven, Jan S.; Stamm, Benjamin; Zhang, Shun

p. 259-283
Stabilization of a non standard FETI-DP mortar method for the Stokes problem

Chacón Vera, E.; Chacón Rebollo, T.

p. 285-304

Issue no. 2 Table of Contents

Preface

Bal, Guillaume; Owhadi, Houman

p. 305
Which electric fields are realizable in conducting materials?

Briane, Marc; Milton, Graeme W.; Treibergs, Andrejs

p. 307-323
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations

Gloria, Antoine; Neukamm, Stefan; Otto, Felix

p. 325-346
On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients

Legoll, Frédéric; Thomines, Florian

p. 347-386
Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential

Bal, Guillaume; Jing, Wenjia

p. 387-409
Asymptotics of a Time-Splitting Scheme for the Random Schrödinger Equation with Long-Range Correlations

Gomez, Christophe; Pinaud, Olivier

p. 411-431
Sweeping preconditioners for elastic wave propagation with spectral element methods

Tsuji, Paul; Poulson, Jack; Engquist, Björn; Ying, Lexing

p. 433-447
A Multiscale Model Reduction Method for Partial Differential Equations

Ci, Maolin; Hou, Thomas Y.; Shi, Zuoqiang

p. 449-474
A Multiscale Enrichment Procedure for Nonlinear Monotone Operators

Efendiev, Y.; Galvis, J.; Presho, M.; Zhou, J.

p. 475-491
Machine Computation Using the Exponentially Convergent Multiscale Spectral Generalized Finite Element Method

Babuška, Ivo; Huang, Xu; Lipton, Robert

p. 493-515
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization

Owhadi, Houman; Zhang, Lei; Berlyand, Leonid

p. 517-552
Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes

Bonelle, Jérôme; Ern, Alexandre

p. 553-581
Second-order MUSCL schemes based on Dual Mesh Gradient Reconstruction (DMGR)

Berthon, Christophe; Coudière, Yves; Desveaux, Vivien

p. 583-602
A modified quasi-boundary value method for the backward time-fractional diffusion problem

Wei, Ting; Wang, Jun-Gang

p. 603-621

Issue no. 3 Table of Contents

Double greedy algorithms: Reduced basis methods for transport dominated problems

Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit

p. 623-663
A positivity preserving central scheme for shallow water flows in channels with wet-dry states

Balbás, Jorge; Hernandez-Duenas, Gerardo

p. 665-696
Convergence of a variational lagrangian scheme for a nonlinear drift diffusion equation

Matthes, Daniel; Osberger, Horst

p. 697-726
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM

Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph

p. 727-752
Convergence analysis of the lowest order weakly penalized adaptive discontinuous Galerkin methods

Gudi, Thirupathi; Guzmán, Johnny

p. 753-764
Numerical analysis of modular regularization methods for the BDF2 time discretization of the Navier-Stokes equations

Layton, William; Mays, Nathaniel; Neda, Monika; Trenchea, Catalin

p. 765-793
Parallel Schwarz Waveform Relaxation Algorithm for an N-dimensional semilinear heat equation

Tran, Minh-Binh

p. 795-813
Multiscale Finite Element approach for “weakly” random problems and related issues

Le Bris, Claude; Legoll, Frédéric; Thomines, Florian

p. 815-858
Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes' problem

Burman, Erik; Hansbo, Peter

p. 859-874
Space-time variational saddle point formulations of Stokes and Navier-Stokes equations

Guberovic, Rafaela; Schwab, Christoph; Stevenson, Rob

p. 875-894
Interface model coupling via prescribed local flux balance

Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas

p. 895-918
Numerical analysis of history-dependent quasivariational inequalities with applications in contact mechanics

Kazmi, Kamran; Barboteu, Mikael; Han, Weimin; Sofonea, Mircea

p. 919-942

Issue no. 4 Table of Contents

A weighted empirical interpolation method: a priori convergence analysis and applications

Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi

p. 943-953
A new quadrilateral MINI-element for Stokes equations

Kwon, Oh-In; Park, Chunjae

p. 955-968
A mixed formulation of a sharp interface model of stokes flow with moving contact lines

Walker, Shawn W.

p. 969-1009
Reconstruction of thickness variation of a dielectric coating through the generalized impedance boundary conditions

Aslanyürek, Birol; Sahintürk, Hülya

p. 1011-1027
High order semi-lagrangian particle methods for transport equations: numerical analysis and implementation issues

Cottet, G.-H.; Etancelin, J.-M.; Perignon, F.; Picard, C.

p. 1029-1060
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system

Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen

p. 1061-1087
A reduced model for Darcy's problem in networks of fractures

Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo

p. 1089-1116
Anisotropic mesh refinement in polyhedral domains: error estimates with data in L 2 (Ω)

Apel, Thomas; Lombardi, Ariel L.; Winkler, Max

p. 1117-1145
Convergence of mass redistribution method for the one-dimensional wave equation with a unilateral constraint at the boundary

Dabaghi, Farshid; Petrov, Adrien; Pousin, Jérôme; Renard, Yves

p. 1147-1169
Formal passage from kinetic theory to incompressible Navier-Stokes equations for a mixture of gases

Bisi, Marzia; Desvillettes, Laurent

p. 1171-1197
An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier-Stokes flows

Manzoni, Andrea

p. 1199-1226
Basic principles of mixed Virtual Element Methods

Brezzi, F.; Falk, Richard S.; Donatella Marini, L.

p. 1227-1240

Issue no. 5 Table of Contents

Time domain simulation of a piano. Part 1: model description

Chabassier, J.; Chaigne, A.; Joly, P.

p. 1241-1278
The periodic unfolding method for a class of parabolic problems with imperfect interfaces

Yang, Zhanying

p. 1279-1302
Parameter estimation in non-linear mixed effects models with SAEM algorithm: extension from ODE to PDE

Grenier, E.; Louvet, V.; Vigneaux, P.

p. 1303-1329
A localized orthogonal decomposition method for semi-linear elliptic problems

Henning, Patrick; Målqvist, Axel; Peterseim, Daniel

p. 1331-1349
Measuring the Irreversibility of Numerical Schemes for Reversible Stochastic Differential Equations

Katsoulakis, Markos; Pantazis, Yannis; Rey-Bellet, Luc

p. 1351-1379
Adaptive mesh refinement strategy for a non conservative transport problem

Aymard, Benjamin; Clément, Frédérique; Postel, Marie

p. 1381-1412
Error estimates for Stokes problem with Tresca friction conditions

Ayadi, Mekki; Baffico, Leonardo; Gdoura, Mohamed Khaled; Sassi, Taoufik

p. 1413-1429
Equivalent Boundary Conditions for an Elasto-Acoustic Problem set in a Domain with a Thin Layer

Péron, Victor

p. 1431-1449
Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture

Knabner, Peter; Roberts, Jean E.

p. 1451-1472
Robust operator estimates and the application to substructuring methods for first-order systems

Wieners, Christian; Wohlmuth, Barbara

p. 1473-1494
Scalar boundary value problems on junctions of thin rods and plates

Bunoiu, R.; Cardone, G.; Nazarov, S. A.

p. 1495-1528
Mathematical modeling of time-harmonic aeroacoustics with a generalized impedance boundary condition

Luneville, Eric; Mercier, Jean-Francois

p. 1529-1555

Issue no. 6 Table of Contents

A posteriori error estimates for elliptic problems with Dirac measure terms in weighted spaces

Agnelli, Juan Pablo; Garau, Eduardo M.; Morin, Pedro

p. 1557-1581
Derivation of a homogenized two-temperature model from the heat equation

Desvillettes, Laurent; Golse, François; Ricci, Valeria

p. 1583-1613
A Posteriori Error Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems

Kärcher, Mark; Grepl, Martin A.

p. 1615-1638
Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law

Bernard, Manuel; Dellacherie, Stéphane; Faccanoni, Gloria; Grec, Bérénice; Penel, Yohan

p. 1639-1679
The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip

Ducomet, Bernard; Zlotnik, Alexander; Zlotnik, Ilya

p. 1681-1699
Highly anisotropic nonlinear temperature balance equation and its numerical solution using asymptotic-preserving schemes of second order in time

Lozinski, Alexei; Narski, Jacek; Negulescu, Claudia

p. 1701-1724
Monotone (A,B) entropy stable numerical scheme for Scalar Conservation Laws with discontinuous flux

Adimurthi; Dutta, Rajib; Veerappa Gowda, G. D.; Jaffré, Jérôme

p. 1725-1755
Regularity and approximability of the solutions to the chemical master equation

Gauckler, Ludwig; Yserentant, Harry

p. 1757-1775
A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems

Billaud-Friess, M.; Nouy, A.; Zahm, O.

p. 1777-1806
On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations

Herbin, R.; Kheriji, W.; Latché, J.-C.

p. 1807-1857
Moving Dirichlet boundary conditions

Altmann, Robert

p. 1859-1876