Issue no. 1 Table of Contents

A multi-D model for Raman amplification

Colin, Mathieu ; Colin, Thierry

p. 1-22
A matching of singularities in domain decomposition methods for reaction-diffusion problems with discontinuous coefficients

Chniti, Chokri

p. 23-37
Finite element approximation of kinetic dilute polymer models with microscopic cut-off

Barrett, John W. ; Süli, Endre

p. 39-89
Total overlapping Schwarz' preconditioners for elliptic problems

Ben Belgacem, Faker ; Gmati, Nabil ; Jelassi, Faten

p. 91-113
Hexahedral 𝐇(div) and 𝐇(curl) finite elements

Falk, Richard S. ; Gatto, Paolo ; Monk, Peter

p. 115-143
A discrete contact model for crowd motion

Maury, Bertrand ; Venel, Juliette

p. 145-168
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation

Audusse, Emmanuel ; Bristeau, Marie-Odile ; Perthame, Benoît ; Sainte-Marie, Jacques

p. 169-200

Issue no. 2 Table of Contents

A penalty algorithm for the spectral element discretization of the Stokes problem

Bernardi, Christine ; Blouza, Adel ; Chorfi, Nejmeddine ; Kharrat, Nizar

p. 201-216
Mathematical analysis for the peridynamic nonlocal continuum theory

Du, Qiang ; Zhou, Kun

p. 217-234
A frictionless contact algorithm for deformable bodies

Pantz, Olivier

p. 235-254
A new H(div)-conforming p-interpolation operator in two dimensions

Bespalov, Alexei ; Heuer, Norbert

p. 255-275
Enabling numerical accuracy of Navier-Stokes-α through deconvolution and enhanced stability

Manica, Carolina C. ; Neda, Monika ; Olshanskii, Maxim ; Rebholz, Leo G.

p. 277-307
Optimized Schwarz coupling of Bidomain and Monodomain models in electrocardiology

Gerardo-Giorda, Luca ; Perego, Mauro ; Veneziani, Alessandro

p. 309-334
Numerical algorithms for backward stochastic differential equations with 1-d brownian motion: Convergence and simulations

Peng, Shige ; Xu, Mingyu

p. 335-360
A null controllability data assimilation methodology applied to a large scale ocean circulation model

García, Galina C. ; Osses, Axel ; Puel, Jean Pierre

p. 361-386

Issue no. 3 Table of Contents

Exponential convergence of hp quadrature for integral operators with Gevrey kernels

Chernov, Alexey ; von Petersdorff, Tobias ; Schwab, Christoph

p. 387-422
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system

Bryson, Steve ; Epshteyn, Yekaterina ; Kurganov, Alexander ; Petrova, Guergana

p. 423-446
Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport

D'Angelo, Carlo ; Zunino, Paolo

p. 447-476
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion

Bartels, Sören ; Roubíček, Tomáš

p. 477-504
Minimal invasion: An optimal L ∞ state constraint problem

Clason, Christian ; Ito, Kazufumi ; Kunisch, Karl

p. 505-522
Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations

Walkington, Noel J.

p. 523-540
An analysis of noise propagation in the multiscale simulation of coarse Fokker-Planck equations

Frederix, Yves ; Samaey, Giovanni ; Roose, Dirk

p. 541-561
FETI-DP domain decomposition methods for elasticity with structural changes: P-elasticity

Klawonn, Axel ; Neff, Patrizio ; Rheinbach, Oliver ; Vanis, Stefanie

p. 563-602

Issue no. 4 Table of Contents

A locking-free finite element method for the buckling problem of a non-homogeneous Timoshenko beam

Lovadina, Carlo ; Mora, David ; Rodríguez, Rodolfo

p. 603-626
On the second-order convergence of a function reconstructed from finite volume approximations of the Laplace equation on Delaunay-Voronoi meshes

Omnes, Pascal

p. 627-650
Optimal convergence of a discontinuous-Galerkin-based immersed boundary method

Lew, Adrian J. ; Negri, Matteo

p. 651-674
A non-overlapping domain decomposition method for continuous-pressure mixed finite element approximations of the Stokes problem

Benhassine, Hani ; Bendali, Abderrahmane

p. 675-696
Numerical schemes for a three component Cahn-Hilliard model

Boyer, Franck ; Minjeaud, Sebastian

p. 697-738
Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation

Christiansen, Snorre H. ; Scheid, Claire

p. 739-760
A posteriori error analysis for the Crank-Nicolson method for linear Schrödinger equations

Kyza, Irene

p. 761-778
Numerical analysis of a transmission problem with Signorini contact using mixed-FEM and BEM

Gatica, Gabriel N. ; Maischak, Matthias ; Stephan, Ernst P.

p. 779-802

Issue no. 5 Table of Contents

The mixed regularity of electronic wave functions multiplied by explicit correlation factors

Yserentant, Harry

p. 803-824
Parareal operator splitting techniques for multi-scale reaction waves: Numerical analysis and strategies

Duarte, Max ; Massot, Marc ; Descombes, Stéphane

p. 825-852
On the modelling and management of traffic

Colombo, Rinaldo M. ; Goatin, Paola ; Rosini, Massimiliano D.

p. 853-872
Surface energies in a two-dimensional mass-spring model for crystals

Theil, Florian

p. 873-899
Involutive formulation and simulation for electroneutral microfluids

Mohammadi, Bijan ; Tuomela, Jukka

p. 901-913
Two-sided bounds of the discretization error for finite elements

Křížek, Michal ; Roos, Hans-Goerg ; Chen, Wei

p. 915-924
An a posteriori error analysis for dynamic viscoelastic problems

Fernández, J. R. ; Santamarina, D.

p. 925-945
Radiation conditions at the top of a rotational cusp in the theory of water-waves

Nazarov, Sergey A. ; Taskinen, Jari

p. 947-979
Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime

Carles, Rémi ; Mohammadi, Bijan

p. 981-1008

Issue no. 6 Table of Contents

Central local discontinuous galerkin methods on overlapping cells for diffusion equations

Liu, Yingjie ; Shu, Chi-Wang ; Tadmor, Eitan ; Zhang, Mengping

p. 1009-1032
A fictitious domain method for the numerical two-dimensional simulation of potential flows past sails

Bermúdez, Alfredo ; Rodríguez, Rodolfo ; Seoane, María Luisa

p. 1033-1058
Convergence of Cell Based Finite Volume Discretizations for Problems of Control in the Conduction Coefficients

Evgrafov, Anton ; Gregersen, Misha Marie ; Sørensen, Mads Peter

p. 1059-1080
An hp-Discontinuous Galerkin Method for the Optimal Control Problem of Laser Surface Hardening of Steel

Nupur, Gupta ; Neela, Nataraj

p. 1081-1113
High order transmission conditions for thin conductive sheets in magneto-quasistatics

Schmidt, Kersten ; Tordeux, Sébastien

p. 1115-1140
A linear scheme to approximate nonlinear cross-diffusion systems

Murakawa, Hideki

p. 1141-1161
Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles

Pozzolini, C. ; Salaun, M.

p. 1163-1192
A general perturbation formula for electromagnetic fields in presence of low volume scatterers

Griesmaier, Roland

p. 1193-1218