Issue no. 1 Table of Contents

Analysis of a new augmented mixed finite element method for linear elasticity allowing ℝ𝕋 0 -ℙ 1 -ℙ 0 approximations

Gatica, Gabriel N.

p. 1-28
Evaluation of the condition number in linear systems arising in finite element approximations

Ern, Alexandre ; Guermond, Jean-Luc

p. 29-48
Best N-term approximation in electronic structure calculations I. One-electron reduced density matrix

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

p. 49-61
Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots

Joly, Patrick ; Tordeux, Sébastien

p. 63-97
A numerical study on Neumann-Neumann methods for hp approximations on geometrically refined boundary layer meshes II. Three-dimensional problems

Toselli, Andrea ; Vasseur, Xavier

p. 99-122
New mixed finite volume methods for second order eliptic problems

Kim, Kwang Y.

p. 123-147
Convergence rates of symplectic Pontryagin approximations in optimal control theory

Sandberg, Mattias ; Szepessy, Anders

p. 149-173
Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation

Barrett, John W. ; Feng, Xiaobing ; Prohl, Andreas

p. 175-199
A viscoelastic model with non-local damping application to the human lungs

Grandmont, Céline ; Maury, Bertrand ; Meunier, Nicolas

p. 201-224

Issue no. 2 Table of Contents

Numerical evidence of nonuniqueness in the evolution of vortex sheets

Lopes Filho, Milton C. ; Lowengrub, John ; Nussenzveig Lopes, Helena J. ; Zheng, Yuxi

p. 225-237
An equilibrated residual method with a computable error approximation for a singularly perturbed reaction-diffusion problem on anisotropic finite element meshes

Grosman, Sergey

p. 239-267
On the accuracy of Reissner-Mindlin plate model for stress boundary conditions

Zhang, Sheng

p. 269-294
Dynamic frictional contact of a viscoelastic beam

Campo, Marco ; Fernández, José R. ; Stavroulakis, Georgios E. ; Viaño, Juan M.

p. 295-310
Finite volume methods for the valuation of american options

Berton, Julien ; Eymard, Robert

p. 311-330
Relaxation models of phase transition flows

Helluy, Philippe ; Seguin, Nicolas

p. 331-352
Numerical analysis of the quasistatic thermoviscoelastic thermistor problem

Fernández, José R.

p. 353-366
Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes

Vohralík, Martin

p. 367-391
A viscosity solution method for shape-from-shading without image boundary data

Prados, Emmanuel ; Camilli, Fabio ; Faugeras, Olivier

p. 393-412
Discrete compactness for a discontinuous Galerkin approximation of Maxwell's system

Creusé, Emmanuel ; Nicaise, Serge

p. 413-430

Issue no. 3 Table of Contents

Numerical analysis of eulerian multi-fluid models in the context of kinetic formulations for dilute evaporating sprays

Laurent, Frédérique

p. 431-468
Adaptive modeling for free-surface flows

Perotto, Simona

p. 469-499
On a stabilized colocated finite volume scheme for the Stokes problem

Eymard, Robert ; Herbin, Raphaèle ; Latché, Jean Claude

p. 501-527
A reduced basis element method for the steady Stokes problem

Løvgren, Alf Emil ; Maday, Yvon ; Rønquist, Einar M.

p. 529-552
Analysis of crack singularities in an aging elastic material

Costabel, Martin ; Dauge, Monique ; Nazarov, Sergeï A. ; Sokolowski, Jan

p. 553-595
Large time behavior of solutions in super-critical cases to degenerate Keller-Segel systems

Luckhaus, Stephan ; Sugiyama, Yoshie

p. 597-621

Issue no. 4 Table of Contents

Diffusion and propagation problems in some ramified domains with a fractal boundary

Achdou, Yves ; Sabot, Christophe ; Tchou, Nicoletta

p. 623-652
Study of a three component Cahn-Hilliard flow model

Boyer, Franck ; Lapuerta, Céline

p. 653-687
A new domain decomposition method for the compressible Euler equations

Dolean, Victorita ; Nataf, Frédéric

p. 689-703
Vibrations of a beam between obstacles. Convergence of a fully discretized approximation

Dumont, Yves ; Paoli, Laetitia

p. 705-734
The approximate Riemann solver of Roe applied to a drift-flux two-phase flow model

Flåtten, Tore ; Munkejord, Svend Tollak

p. 735-764
New unilateral problems in stratigraphy

Antontsev, Stanislav N. ; Gagneux, Gérard ; Luce, Robert ; Vallet, Guy

p. 765-784
Finite element analysis of a simplified stochastic hookean dumbbells model arising from viscoelastic flows

Bonito, Andrea ; Clément, Philippe ; Picasso, Marco

p. 785-814

Issue no. 5 Table of Contents

Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems

Piperno, Serge

p. 815-841
A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity

Barrios, Tomás P. ; Gatica, Gabriel N. ; González, María ; Heuer, Norbert

p. 843-869
A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media

Rapún, María-Luisa ; Sayas, Francisco-Javier

p. 871-896
Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem

Amoura, Karima ; Bernardi, Christine ; Chorfi, Nejmeddine

p. 897-921
Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations

Bakaev, Nikolai Yu. ; Crouzeix, Michel ; Thomée, Vidar

p. 923-937
Conservation law constrained optimization based upon front-tracking

Gugat, Martin ; Herty, Michaël ; Klar, Axel ; Leugering, Gunter

p. 939-960

Issue no. 6 Table of Contents

Theoretical and numerical study of a quasi-linear Zakharov system describing Landau damping

Belaouar, R. ; Colin, T. ; Gallice, G. ; Galusinski, C.

p. 961-990
Robust a posteriori error estimates for finite element discretizations of the heat equation with discontinuous coefficients

Berrone, Stefano

p. 991-1021
Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems

Bostan, Mihai ; Sonnendrücker, Eric

p. 1023-1052
A second-order finite volume element method on quadrilateral meshes for elliptic equations

Yang, Min

p. 1053-1067
Finite volume schemes for fully non-linear elliptic equations in divergence form

Droniou, Jérôme

p. 1069-1100
Numerical simulation of a pulsatile flow through a flexible channel

Murea, Cornel Marius

p. 1101-1125