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