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ESAIM: Mathematical Modelling and Numerical Analysis

Accepted manuscripts


Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains

Received: 26 August 2015 / Revised: 13 January 2016 / Accepted: 23 March 2016
DOI: http://dx.doi.org/10.1051/m2an/2016022

Superconvergence by M-decompositions. Part III: construction of three-dimensional finite elments

Received: 26 November 2015 / Revised: 20 March 2016 / Accepted: 31 March 2016
DOI: http://dx.doi.org/10.1051/m2an/2016023

Mixed finite element methods for linear elasticity and the Stokes equations based on the Helmholtz decomposition

Received: 21 September 2015 / Revised: 23 March 2016 / Accepted: 05 April 2016
DOI: http://dx.doi.org/10.1051/m2an/2016024

Simultaneous reduced basis approximation of parameterized elliptic eigenvalue problems

Received: 10 June 2015 / Revised: 02 March 2016 / Revised: 19 November 2015 / Accepted: 12 April 2016
DOI: http://dx.doi.org/10.1051/m2an/2016025

Superconvergence of discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations

Received: 20 January 2016 / Revised: 24 March 2016 / Accepted: 21 April 2016
DOI: http://dx.doi.org/10.1051/m2an/2016026

Analysis of a dynamic viscoelastic-viscoplastic piezoelectric contact problem

Received: 11 January 2016 / Accepted: 21 April 2016
DOI: http://dx.doi.org/10.1051/m2an/2016027

Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem

Received: 21 October 2015 / Revised: 08 April 2016 / Accepted: 21 April 2016
DOI: http://dx.doi.org/10.1051/m2an/2016028

Convergence of solutions to finite difference schemes for singular limits of nonlinear evolutionary PDEs

Received: 07 July 2015 / Revised: 02 March 2016 / Accepted: 21 April 2016
DOI: http://dx.doi.org/10.1051/m2an/2016029

A convergent adaptive edge element method for an optimal control problem in magnetostatics

Received: 03 December 2014 / Revised: 07 February 2016 / Accepted: 21 April 2016
DOI: http://dx.doi.org/10.1051/m2an/2016030

Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques

Received: 29 December 2013 / Revised: 16 December 2015 / Accepted: 20 April 2016
DOI: http://dx.doi.org/10.1051/m2an/2016031

Divergence free Virtual Elements for the Stokes problem on polygonal meshes

Received: 06 October 2015 / Revised: 03 March 2016 / Accepted: 21 April 2016
DOI: http://dx.doi.org/10.1051/m2an/2016032

A generalized Mimetic Finite Difference Method and Two-Point Flux schemes over Voronoi diagrams

Received: 05 September 2015 / Revised: 13 April 2016 / Accepted: 05 May 2016
DOI: http://dx.doi.org/10.1051/m2an/2016033

A priori diffusion-uniform error estimates for nonlinear singularly perturbed problems: BDF2, midpoint and time DG

Received: 10 December 2015 / Revised: 19 April 2016 / Accepted: 16 May 2016
DOI: http://dx.doi.org/10.1051/m2an/2016035

A virtual volume method for heterogeneous and anisotropic diffusion-reaction problems on general meshes

Received: 23 October 2015 / Revised: 16 March 2016 / Accepted: 16 May 2016
DOI: http://dx.doi.org/10.1051/m2an/2016036

Standard finite elements for the numerical resolution of the elliptic Monge-Ampere equation: Aleksandrov solutions

Received: 31 July 2015 / Revised: 10 February 2016 / Accepted: 16 May 2016
DOI: http://dx.doi.org/10.1051/m2an/2016037

Uniform discrete Sobolev estimates of solutions to finite difference schemes for singular limits of nonlinear PDEs

Received: 09 July 2015 / Revised: 07 February 2016 / Accepted: 16 May 2016
DOI: http://dx.doi.org/10.1051/m2an/2016038

A contact problem in thermoviscoelastic diffusion theory with second sound.

Received: 22 June 2015 / Revised: 06 May 2016 / Revised: 18 January 2016 / Accepted: 16 May 2016
DOI: http://dx.doi.org/10.1051/m2an/2016039

Finite element approximation of Dirichlet control using boundary penalty method for unsteady Navier-Stokes equations

Received: 19 February 2016 / Revised: 24 May 2016 / Accepted: 25 May 2016
DOI: http://dx.doi.org/10.1051/m2an/2016040

On nontraditional quasi-geostrophic equations

Received: 12 November 2015 / Revised: 05 May 2016 / Revised: 23 March 2016 / Accepted: 30 May 2016
DOI: http://dx.doi.org/10.1051/m2an/2016041

L^2-stability of a finite element - finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions

Received: 09 September 2015 / Revised: 18 March 2016 / Accepted: 30 May 2016
DOI: http://dx.doi.org/10.1051/m2an/2016042

Reconstruction of polygonal inclusions in a heat conductive body from dynamical boundary data

Received: 22 June 2015 / Revised: 19 April 2016 / Accepted: 01 June 2016
DOI: http://dx.doi.org/10.1051/m2an/2016043

Low-thrust Lyapunov to Lyapunov and Halo to Halo missions with $L^{2}$-minimization

Received: 07 October 2015 / Revised: 07 June 2016 / Revised: 23 March 2016 / Accepted: 08 June 2016
DOI: http://dx.doi.org/10.1051/m2an/2016044

Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients

Received: 27 September 2015 / Revised: 26 May 2016 / Accepted: 09 June 2016
DOI: http://dx.doi.org/10.1051/m2an/2016045

Blended numerical schemes for the advection equation and conservation laws

Received: 25 July 2015 / Revised: 18 May 2016 / Accepted: 23 June 2016
DOI: http://dx.doi.org/10.1051/m2an/2016047

Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow

Received: 22 February 2016 / Revised: 08 June 2016 / Accepted: 24 June 2016
DOI: http://dx.doi.org/10.1051/m2an/2016048

Stability analysis and error estimates of Lax-Wendroff discontinuous Galerkin methods for linear conservation laws

Received: 30 March 2016 / Revised: 21 June 2016 / Accepted: 05 July 2016
DOI: http://dx.doi.org/10.1051/m2an/2016049

Domain decomposition preconditioners for the discontinuous Petrov-Galerkin method

Received: 15 December 2015 / Revised: 16 June 2016 / Revised: 07 April 2016 / Accepted: 05 July 2016
DOI: http://dx.doi.org/10.1051/m2an/2016050

Existence and uniqueness of a solution for a field/circuit coupled problem

Received: 16 December 2015 / Revised: 28 June 2016 / Revised: 02 May 2016 / Accepted: 26 July 2016
DOI: http://dx.doi.org/10.1051/m2an/2016052

Numerical approximation of viscoelastic fluids

Received: 09 September 2015 / Revised: 27 July 2016 / Revised: 06 July 2016 / Revised: 24 March 2016 / Accepted: 28 July 2016
DOI: http://dx.doi.org/10.1051/m2an/2016053

Preconditioners for the Discontinuous Galerkin Time-Stepping Method of Arbitrary Order

Received: 22 September 2015 / Revised: 17 June 2016 / Revised: 22 February 2016 / Accepted: 24 August 2016
DOI: http://dx.doi.org/10.1051/m2an/2016055

Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation

Received: 26 January 2016 / Revised: 19 June 2016 / Accepted: 26 August 2016
DOI: http://dx.doi.org/10.1051/m2an/2016056

A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media

Received: 30 November 2015 / Revised: 27 June 2016 / Accepted: 30 August 2016
DOI: http://dx.doi.org/10.1051/m2an/2016057

A finite volume method for nonlocal competition-mutation equations with a gradient flow structure

Received: 08 March 2016 / Revised: 25 July 2016 / Revised: 01 July 2016 / Accepted: 01 September 2016
DOI: http://dx.doi.org/10.1051/m2an/2016058

Convergence of a Strang splitting finite element discretization for the Schrödinger-Poisson equation

Received: 18 December 2015 / Revised: 26 May 2016 / Accepted: 08 September 2016
DOI: http://dx.doi.org/10.1051/m2an/2016059

New transmission condition accounting for diffusion anisotropy in thin layers applied to diffusion MRI

Received: 30 March 2015 / Revised: 29 June 2016 / Revised: 28 January 2016 / Accepted: 08 September 2016
DOI: http://dx.doi.org/10.1051/m2an/2016060

A hybrid two-step finite element method for flux approximation: a priori estimates

Received: 07 December 2014 / Revised: 15 May 2016 / Revised: 21 July 2015 / Revised: 28 May 2015 / Accepted: 08 September 2016
DOI: http://dx.doi.org/10.1051/m2an/2016062

On the Steklov problem in a domain perforated along a part of the boundary

Received: 19 August 2014 / Revised: 13 July 2016 / Revised: 25 October 2015 / Accepted: 08 September 2016
DOI: http://dx.doi.org/10.1051/m2an/2016063

A piecewise linear FEM for an optimal control problem of fractional operators: error analysis on curved domains

Received: 11 August 2015 / Revised: 06 October 2016 / Revised: 01 August 2016 / Revised: 06 July 2016 / Accepted: 10 October 2016
DOI: http://dx.doi.org/10.1051/m2an/2016065

Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves

Received: 25 November 2015 / Revised: 03 June 2016 / Accepted: 12 October 2016
DOI: http://dx.doi.org/10.1051/m2an/2016067

Numerical analysis of a stabilized finite element approximation for the three-field linearized viscoelastic fluid problem using arbitrary interpolations

Received: 25 February 2016 / Revised: 07 November 2016 / Accepted: 07 November 2016
DOI: http://dx.doi.org/10.1051/m2an/2016068

Dimensional model reduction for flow through fractures in poroelastic media

Received: 21 October 2015 / Revised: 01 October 2016 / Revised: 14 June 2016 / Accepted: 07 November 2016
DOI: http://dx.doi.org/10.1051/m2an/2016069

Analysis and approximations of the evolutionary Stokes equations with inhomogeneous boundary and divergence data using a parabolic saddle point formulation

Received: 23 June 2015 / Revised: 21 October 2016 / Revised: 07 June 2016 / Revised: 23 December 2015 / Accepted: 09 November 2016
DOI: http://dx.doi.org/10.1051/m2an/2016070

A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey-Stewartson equations

Received: 03 October 2014 / Revised: 16 March 2016 / Accepted: 09 November 2016
DOI: http://dx.doi.org/10.1051/m2an/2016071

A second order time-stepping scheme for parabolic interface problems with moving interfaces

Received: 23 March 2016 / Revised: 29 June 2016 / Accepted: 12 November 2016
DOI: http://dx.doi.org/10.1051/m2an/2016072

A DDFV method for a Cahn-Hilliard/Stokes phase field model with dynamic boundary conditions

Received: 31 December 2015 / Revised: 03 August 2016 / Accepted: 12 November 2016
DOI: http://dx.doi.org/10.1051/m2an/2016073

A two-energies principle for the biharmonic equation and an a posteriori error estimator for an interior penalty discontinuous Galerkin approximation

Received: 30 August 2016 / Revised: 21 November 2016 / Accepted: 23 November 2016
DOI: http://dx.doi.org/10.1051/m2an/2016074

An edge-based scheme on polyhedral meshes for vector advection-reaction equations

Received: 01 June 2016 / Revised: 21 November 2016 / Accepted: 28 November 2016
DOI: http://dx.doi.org/10.1051/m2an/2016075