Issue no. 1 Table of Contents

On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes

Heuveline, Vincent; Schieweck, Friedhelm

p. 1-20
Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems : non-overlapping case

Antonietti, Paola F.; Ayuso, Blanca

p. 21-54
A continuous finite element method with face penalty to approximate Friedrichs' systems

Burman, Erik; Ern, Alexandre

p. 55-76
Convergence of the time-discretized monotonic schemes

Salomon, Julien

p. 77-93
On the rate of convergence of a collocation projection of the KdV equation

Kalisch, Henrik; Raynaud, Xavier

p. 95-110
A multiscale correction method for local singular perturbations of the boundary

Dambrine, Marc; Vial, Grégory

p. 111-127
Locking free matching of different three dimensional models in structural mechanics

Tallec, Patrick Le; Aouadi, Saloua Mani

p. 129-145
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation

Antoine, Xavier; Darbas, Marion

p. 147-167
Godunov method for nonconservative hyperbolic systems

Muñoz-Ruiz, María Luz; Parés, Carlos

p. 169-185

Issue no. 2 Table of Contents

Preface

Lions, P.-L.

p. 187-188
Diffusion Monte Carlo method : numerical analysis in a simple case

Makrini, Mohamed El; Jourdain, Benjamin; Lelièvre, Tony

p. 189-213
Sparse grids for the Schrödinger equation

Griebel, Michael; Hamaekers, Jan

p. 215-247
First-order semidefinite programming for the two-electron treatment of many-electron atoms and molecules

Mazziotti, David A.

p. 249-259
Best N-term approximation in electronic structure calculations. II. Jastrow factors

Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Schneider, Reinhold

p. 261-279
Converging self-consistent field equations in quantum chemistry - recent achievements and remaining challenges

Kudin, Konstantin N.; Scuseria, Gustavo E.

p. 281-296
The time-dependent Born-Oppenheimer approximation

Panati, Gianluca; Spohn, Herbert; Teufel, Stefan

p. 297-314
Regularity of the multi-configuration time-dependent Hartree approximation in quantum molecular dynamics

Koch, Othmar; Lubich, Christian

p. 315-331
Molecular simulation in the canonical ensemble and beyond

Jia, Zhidong; Leimkuhler, Ben

p. 333-350
Theoretical and numerical comparison of some sampling methods for molecular dynamics

Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel

p. 351-389
Atomistic to continuum limits for computational materials science

Blanc, Xavier; Bris, Claude Le; Lions, Pierre-Louis

p. 391-426
Multiscale materials modelling : case studies at the atomistic and electronic structure levels

Silva, Emilio; Först, Clemens; Li, Ju; Lin, Xi; Zhu, Ting; Yip, Sidney

p. 427-445

Issue no. 3 Table of Contents

Mathematical framework for current density imaging due to discharge of electro-muscular disruption devices

Lee, Jeehyun; Seo, Jin Keun; Woo, Eung Je

p. 447-459
Numerical procedure to approximate a singular optimal control problem

Di Marco, Silvia C.; González, Roberto L. V.

p. 461-484
A posteriori error analysis for parabolic variational inequalities

Moon, Kyoung-Sook; Nochetto, Ricardo H.; Petersdorff, Tobias Von; Zhang, Chen-Song

p. 485-511
Comparaison entre modèles d'ondes de surface en dimension 2

Mammeri, Youcef

p. 513-542
Optimal design in small amplitude homogenization

Allaire, Grégoire; Gutiérrez, Sergio

p. 543-574
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T.

p. 575-605
A topological asymptotic analysis for the regularized grey-level image classification problem

Auroux, Didier; Belaid, Lamia Jaafar; Masmoudi, Mohamed

p. 607-625
Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems

Katsoulakis, Markos A.; Plecháč, Petr; Rey-Bellet, Luc; Tsagkarogiannis, Dimitrios K.

p. 627-660

Issue no. 4 Table of Contents

Mathematical modelling and numerical solution of swelling of cartilaginous tissues. Part I : modelling of incompressible charged porous media

Malakpoor, Kamyar; Kaasschieter, Enrique F.; Huyghe, Jacques M.

p. 661-678
Mathematical modelling and numerical solution of swelling of cartilaginous tissues. Part II : mixed-hybrid finite element solution

Malakpoor, Kamyar; Kaasschieter, Enrique F.; Huyghe, Jacques M.

p. 679-712
A unified convergence analysis for local projection stabilisations applied to the Oseen problem

Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz

p. 713-742
On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations

Formaggia, Luca; Moura, Alexandra; Nobile, Fabio

p. 743-769
Influence of bottom topography on long water waves

Chazel, Florent

p. 771-799
Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients

Belhachmi, Zakaria; Bernardi, Christine; Karageorghis, Andreas

p. 801-824

Issue no. 5 Table of Contents

On some Boussinesq systems in two space dimensions : theory and numerical analysis

Dougalis, Vassilios A.; Mitsotakis, Dimitrios E.; Saut, Jean-Claude

p. 825-854
Inf-sup stable nonconforming finite elements of higher order on quadrilaterals and hexahedra

Matthies, Gunar

p. 855-874
Homogenization of thin piezoelectric perforated shells

Ghergu, Marius; Griso, Georges; Mechkour, Houari; Miara, Bernadette

p. 875-895
Residual a posteriori error estimators for contact problems in elasticity

Hild, Patrick; Nicaise, Serge

p. 897-923
The singularity expansion method applied to the transient motions of a floating elastic plate

Hazard, Christophe; Loret, François

p. 925-943
Numerical homogenization of well singularities in the flow transport through heterogeneous porous media : fully discrete scheme

Jiang, Meiqun; Yue, Xingye

p. 945-957
Finite difference operators from moving least squares interpolation

Netuzhylov, Hennadiy; Sonar, Thomas; Yomsatieankul, Warisa

p. 959-974

Issue no. 6 Table of Contents

Diffusion with dissolution and precipitation in a porous medium : mathematical analysis and numerical approximation of a simplified model

Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe

p. 975-1000
High order edge elements on simplicial meshes

Rapetti, Francesca

p. 1001-1020
Finite-difference preconditioners for superconsistent pseudospectral approximations

Fatone, Lorella; Funaro, Daniele; Scannavini, Valentina

p. 1021-1039
A mixed formulation of the Monge-Kantorovich equations

Barrett, John W.; Prigozhin, Leonid

p. 1041-1060
Small amplitude homogenization applied to models of non-periodic fibrous materials

Manceau, David

p. 1061-1087
The sharp-interface approach for fluids with phase change : Riemann problems and ghost fluid techniques

Merkle, Christian; Rohde, Christian

p. 1089-1123