Issue no. 1 Table of Contents

Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations

Gloria, Antoine

p. 1-38
A numerical minimization scheme for the complex Helmholtz equation

Richins, Russell B. ; Dobson, David C.

p. 39-57
First variation of the general curvature-dependent surface energy

Doğan, Günay ; Nochetto, Ricardo H.

p. 59-79
On the stability of Bravais lattices and their Cauchy-Born approximations

Hudson, Thomas ; Ortner, Christoph

p. 81-110
Cell centered Galerkin methods for diffusive problems

Di Pietro, Daniele A.

p. 111-144
Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation

Duchêne, Vincent

p. 145-185
Accurate numerical discretizations of non-conservative hyperbolic systems

Fjordholm, Ulrik Skre ; Mishra, Siddhartha

p. 187-206

Issue no. 2 Table of Contents

Mathematical and numerical analysis of a model for anti-angiogenic therapy in metastatic cancers

Benzekry, Sébastien

p. 207-237
Numerical integration for high order pyramidal finite elements

Nigam, Nilima ; Phillips, Joel

p. 239-263
Small-stencil 3D schemes for diffusive flows in porous media

Eymard, Robert ; Guichard, Cindy ; Herbin, Raphaèle

p. 265-290
A finite element method for stiffened plates

Durán, Ricardo ; Rodríguez, Rodolfo ; Sanhueza, Frank

p. 291-315
On the convergence of generalized polynomial chaos expansions

Ernst, Oliver G. ; Mugler, Antje ; Starkloff, Hans-Jörg ; Ullmann, Elisabeth

p. 317-339
Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models

Cancès, Eric ; Chakir, Rachida ; Maday, Yvon

p. 341-388
A compactness result for a second-order variational discrete model

Braides, Andrea ; Defranceschi, Anneliese ; Vitali, Enrico

p. 389-410
On the effect of temperature and velocity relaxation in two-phase flow models

Martínez Ferrer, Pedro José ; Flåtten, Tore ; Munkejord, Svend Tollak

p. 411-442
A numerical scheme for the quantum Boltzmann equation with stiff collision terms

Filbet, Francis ; Hu, Jingwei ; Jin, Shi

p. 443-463
A mixed finite element method for Darcy flow in fractured porous media with non-matching grids

D’Angelo, Carlo ; Scotti, Anna

p. 465-489
POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems

Kahlbacher, Martin ; Volkwein, Stefan

p. 491-511

Issue no. 3 Table of Contents

Preface - Special volume in honor of Professor David Gottlieb

Hesthaven, Jan S ; Tadmor, Eitan

p. 513
Integration of the EPDiff equation by particle methods

Chertock, Alina ; Toit, Philip Du ; Marsden, Jerrold Eldon

p. 515-534
An iterative implementation of the implicit nonlinear filter

Chorin, Alexandre J. ; Tu, Xuemin

p. 535-543
P-adaptive Hermite methods for initial value problems

Chen, Ronald ; Hagstrom, Thomas

p. 545-557
Initial-boundary value problems for second order systems of partial differential equations

Kreiss, Heinz-Otto ; Ortiz, Omar E. ; Anders Petersson, N.

p. 559-593
A priori convergence of the greedy algorithm for the parametrized reduced basis method

Buffa, Annalisa ; Maday, Yvon ; Patera, Anthony T. ; Prud’homme, Christophe ; Turinici, Gabriel

p. 595-603
Coarse quantization for random interleaved sampling of bandlimited signals

Powell, Alexander M. ; Tanner, Jared ; Wang, Yang ; Yılmaz, Özgür

p. 605-618
Numerical approximation of the inviscid 3D primitive equations in a limited domain

Chen, Qingshan ; Shiue, Ming-Cheng ; Temam, Roger ; Tribbia, Joseph

p. 619-646
Iterative schemes for high order compact discretizations to the exterior Helmholtz equation

Erlangga, Yogi ; Turkel, Eli

p. 647-660
Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations

Mishra, Siddhartha ; Tadmor, Eitan

p. 661-680

Issue no. 4 Table of Contents

Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations

Burman, Erik ; Ern, Alexandre

p. 681-707
PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages

Tröltzsch, Fredi ; Yousept, Irwin

p. 709-729
Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples

Chapelle, Dominique ; Gariah, Asven ; Sainte-Marie, Jacques

p. 731-757
A multiscale mortar multipoint flux mixed finite element method

Wheeler, Mary Fanett ; Xue, Guangri ; Yotov, Ivan

p. 759-796
A Superconvergence result for mixed finite element approximations of the eigenvalue problem

Lin, Qun ; Xie, Hehu

p. 797-812
A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies

Amdouni, Saber ; Hild, Patrick ; Lleras, Vanessa ; Moakher, Maher ; Renard, Yves

p. 813-839
Theory and numerical approximations for a nonlinear 1 + 1 Dirac system

Bournaveas, Nikolaos ; Zouraris, Georgios E.

p. 841-874
Mathematical and numerical modelling of piezoelectric sensors

Imperiale, Sebastien ; Joly, Patrick

p. 875-909
A minimum effort optimal control problem for elliptic PDEs

Clason, Christian ; Ito, Kazufumi ; Kunisch, Karl

p. 911-927
Effect of the polarization drift in a strongly magnetized plasma

Han-Kwan, Daniel

p. 929-947
Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers

Barrett, John W. ; Süli, Endre

p. 949-978

Issue no. 5 Table of Contents

Finite element approximations of the three dimensional Monge-Ampère equation

Brenner, Susanne Cecelia ; Neilan, Michael

p. 979-1001
A family of discontinuous Galerkin mixed methods for nearly and perfectly incompressible elasticity

Shen, Yongxing ; Lew, Adrian J.

p. 1003-1028
Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium

Faccanoni, Gloria ; Kokh, Samuel ; Allaire, Grégoire

p. 1029-1054
s * -compressibility of the discrete Hartree-Fock equation

Flad, Heinz-Jürgen ; Schneider, Reinhold

p. 1055-1080
Reduced resistive MHD in Tokamaks with general density

Després, Bruno ; Sart, Rémy

p. 1081-1106
A priori error estimates for a state-constrained elliptic optimal control problem

Rösch, Arnd ; Steinig, Simeon

p. 1107-1120
Representation formulas for L ∞ norms of weakly convergent sequences of gradient fields in homogenization

Lipton, Robert ; Mengesha, Tadele

p. 1121-1146
Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems

Aurada, Markus ; Feischl, Michael ; Praetorius, Dirk

p. 1147-1173
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms

Efendiev, Yalchin ; Galvis, Juan ; Lazarov, Raytcho ; Willems, Joerg

p. 1175-1199
Computation of the drag force on a sphere close to a wall

Gérard-Varet, David ; Hillairet, Matthieu

p. 1201-1224
Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell's equations

Moya, Ludovic

p. 1225-1246
Adaptivity and variational stabilization for convection-diffusion equations

Cohen, Albert ; Dahmen, Wolfgang ; Welper, Gerrit

p. 1247-1273

Issue no. 6 Table of Contents

The role of the patch test in 2D atomistic-to-continuum coupling methods

Ortner, Christoph

p. 1275-1319
Convergence of gradient-based algorithms for the Hartree-Fock equations

Levitt, Antoine

p. 1321-1336
Hyperbolic wavelet discretization of the two-electron Schrödinger equation in an explicitly correlated formulation

Bachmayr, Markus

p. 1337-1362
T-coercivity for scalar interface problems between dielectrics and metamaterials

Dhia, Anne-Sophie Bonnet-Ben ; Chesnel, Lucas ; Ciarlet, Patrick

p. 1363-1387
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces

Repin, Sergey I. ; Samrowski, Tatiana S. ; Sauter, Stéfan A.

p. 1389-1405
Efficient computation of delay differential equations with highly oscillatory terms

Condon, Marissa ; Deaño, Alfredo ; Iserles, Arieh ; Kropielnicka, Karolina

p. 1407-1420
Electromagnetic scattering at composite objects : a novel multi-trace boundary integral formulation

Claeys, Xavier ; Hiptmair, Ralf

p. 1421-1445
An operator-splitting Galerkin/SUPG finite element method for population balance equations : stability and convergence

Ganesan, Sashikumaar

p. 1447-1465
Discontinuous Galerkin methods for problems with Dirac delta source

Houston, Paul ; Wihler, Thomas Pascal

p. 1467-1483
Uniformly convergent adaptive methods for a class of parametric operator equations

Gittelson, Claude Jeffrey

p. 1485-1508
Phase field method for mean curvature flow with boundary constraints

Bretin, Elie ; Perrier, Valerie

p. 1509-1526
An energy-preserving Discrete Element Method for elastodynamics

Monasse, Laurent ; Mariotti, Christian

p. 1527-1553
On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition

Lassila, Toni ; Manzoni, Andrea ; Rozza, Gianluigi

p. 1555-1576