Issue no. 1 Table of Contents

Proper orthogonal decomposition for optimality systems

Kunisch, Karl ; Volkwein, Stefan

p. 1-23
Lagrangian and moving mesh methods for the convection diffusion equation

Chrysafinos, Konstantinos ; Walkington, Noel J.

p. 25-55
Analysis of a quasicontinuum method in one dimension

Ortner, Christoph ; Süli, Endre

p. 57-91
A discrete kinetic approximation for the incompressible Navier-Stokes equations

Carfora, Maria Francesca ; Natalini, Roberto

p. 93-112
Analysis of a force-based quasicontinuum approximation

Dobson, Matthew ; Luskin, Mitchell

p. 113-139
A full discretization of the time-dependent Navier-Stokes equations by a two-grid scheme

Abboud, Hyam ; Sayah, Toni

p. 141-174

Issue no. 2 Table of Contents

A C1-P2 finite element without nodal basis

Zhang, Shangyou

p. 175-192
Matching of asymptotic expansions for waves propagation in media with thin slots II : the error estimates

Joly, Patrick ; Tordeux, Sébastien

p. 193-221
Geometric integrators for piecewise smooth hamiltonian systems

Chartier, Philippe ; Faou, Erwan

p. 223-241
Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb's friction law

Bayada, Guy ; Sabil, Jalila ; Sassi, Taoufik

p. 243-262
On the motion of a body in thermal equilibrium immersed in a perfect gas

Aoki, Kazuo ; Cavallaro, Guido ; Marchioro, Carlo ; Pulvirenti, Mario

p. 263-275
Reduced basis method for finite volume approximations of parametrized linear evolution equations

Haasdonk, Bernard ; Ohlberger, Mario

p. 277-302
An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations

Gallouët, Thierry ; Gastaldo, Laura ; Herbin, Raphaele ; Latché, Jean-Claude

p. 303-331

Issue no. 3 Table of Contents

On the double critical-state model for type-II superconductivity in 3D

Kashima, Yohei

p. 333-374
Mortar finite element discretization of a model coupling Darcy and Stokes equations

Bernardi, Christine ; Rebollo, Tomás Chacón ; Hecht, Frédéric ; Mghazli, Zoubida

p. 375-410
A Fortin operator for two-dimensional Taylor-Hood elements

Falk, Richard S.

p. 411-424
The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section

Kröner, Dietmar ; Lefloch, Philippe G. ; Thanh, Mai-Duc

p. 425-442
Multiplicative Schwarz methods for discontinuous Galerkin approximations of elliptic problems

Antonietti, Paola F. ; Ayuso, Blanca

p. 443-469
Eulerian formulation and level set models for incompressible fluid-structure interaction

Cottet, Georges-Henri ; Maitre, Emmanuel ; Milcent, Thomas

p. 471-492
Uniformly stable mixed hp-finite elements on multilevel adaptive grids with hanging nodes

Schieweck, Friedhelm

p. 493-505

Issue no. 4 Table of Contents

Optimal Poiseuille flow in a finite elastic dyadic tree

Mauroy, Benjamin ; Meunier, Nicolas

p. 507-533
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension

Bürger, Raimund ; Ruiz, Ricardo ; Schneider, Kai ; Sepúlveda, Mauricio

p. 535-563
Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group

Achdou, Yves ; Capuzzo-Dolcetta, Italo

p. 565-591
L 2 stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods

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

p. 593-607
Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation

Legendre, Guillaume ; Takahashi, Takéo

p. 609-644
Numerical solution of a 1-D elastohydrodynamic problem in magnetic storage devices

Arregui, Iñigo ; Cendán, José Jesús ; Parés, Carlos ; Vázquez, Carlos

p. 645-665
Numerical analysis of a frictionless viscoelastic piezoelectric contact problem

Barboteu, Mikael ; Fernández, Jose Ramon ; Ouafik, Youssef

p. 667-682
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment

Bouchut, François ; Tomás Morales de Luna

p. 683-698

Issue no. 5 Table of Contents

Convergence of implicit finite volume methods for scalar conservation laws with discontinuous flux function

Martin, Sébastien ; Vovelle, Julien

p. 699-727
A variational model in image processing with focal points

Braides, Andrea ; Riey, Giuseppe

p. 729-748
Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants

Barrett, John W. ; Alaoui, Linda El

p. 749-775
Sparse finite element approximation of high-dimensional transport-dominated diffusion problems

Schwab, Christoph ; Süli, Endre ; Todor, Radu Alexandru

p. 777-819
The hp-version of the boundary element method with quasi-uniform meshes in three dimensions

Bespalov, Alexei ; Heuer, Norbert

p. 821-849
A Roe-type scheme for two-phase shallow granular flows over variable topography

Pelanti, Marica ; Bouchut, François ; Mangeney, Anne

p. 851-885
The change in electric potential due to lightning

Hager, William W. ; Aslan, Beyza Caliskan

p. 887-901

Issue no. 6 Table of Contents

A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes

Braack, Malte

p. 903-924
Error estimates for the ultra weak variational formulation of the Helmholtz equation

Buffa, Annalisa ; Monk, Peter

p. 925-940
Inner products in covolume and mimetic methods

Trapp, Kathryn A.

p. 941-959
Numerical simulation of blood flows through a porous interface

Fernández, Miguel A. ; Gerbeau, Jean-Frédéric ; Martin, Vincent

p. 961-990
Interface tracking method for compressible multifluids

Chertock, Alina ; Karni, Smadar ; Kurganov, Alexander

p. 991-1019
Thick obstacle problems with dynamic adhesive contact

Ahn, Jeongho

p. 1021-1045
Viscosity solutions methods for converse KAM theory

Gomes, Diogo A. ; Oberman, Adam

p. 1047-1064
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system

Prohl, Andreas

p. 1065-1087