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
ESAIM: Mathematical Modelling and Numerical Analysis
Accepted manuscripts
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
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
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
On the Mach-uniformity of the Lagrange--projection scheme
Received: 01 April 2016 / Revised: 22 August 2016 / Accepted: 12 September 2016
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
Finite element quasi-interpolation and best approximation
Received: 24 February 2016 / Revised: 12 September 2016 / Accepted: 12 October 2016
Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves
Received: 25 November 2015 / Revised: 03 June 2016 / Accepted: 12 October 2016
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
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
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
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
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
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
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
An edge-based scheme on polyhedral meshes for vector advection-reaction equations
Received: 01 June 2016 / Revised: 21 November 2016 / Accepted: 28 November 2016
A convergent method for linear half-space kinetic equations
Received: 13 May 2015 / Revised: 12 July 2016 / Accepted: 29 November 2016
A numerical solution to Monge's problem with a Finsler distance as cost
Received: 23 January 2016 / Revised: 02 August 2016 / Revised: 17 June 2016 / Accepted: 05 December 2016
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part I: A nonlinear scheme
Received: 22 April 2016 / Revised: 23 October 2016 / Accepted: 05 December 2016
Asymptotic-preserving well-balanced scheme for the electronic M1 model in the diffusive limit: particular cases.
Received: 22 April 2015 / Revised: 01 September 2016 / Revised: 24 March 2016 / Accepted: 09 December 2016
Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner
Received: 07 March 2016 / Revised: 14 October 2016 / Accepted: 09 December 2016
A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part II: Eigenvalue problems
Received: 14 March 2016 / Revised: 13 December 2016 / Revised: 22 September 2016 / Accepted: 15 December 2016
Spacetime discontinuous Galerkin methods for solving convection-diffusion systems
Received: 28 October 2015 / Revised: 26 June 2016 / Accepted: 09 January 2017
Convergence analysis of a BDF2/mixed finite element discretization of a Darcy-Nernst-Planck-Poisson system
Received: 25 January 2016 / Revised: 24 August 2016 / Accepted: 17 January 2017
Error analysis of truncated expansion solutions to high-dimensional parabolic PDEs
Received: 07 May 2016 / Revised: 31 October 2016 / Accepted: 17 January 2017
A posteriori modeling error estimates in the optimization of two-scale elastic composite materials
Received: 13 November 2015 / Revised: 02 October 2016 / Accepted: 23 January 2017
An adaptive parametrized-background data-weak approach to variational data assimilation
Received: 05 March 2016 / Revised: 29 January 2017 / Revised: 13 August 2016 / Accepted: 01 February 2017
An adjoint-based method for the numerical approximation of shape optimization problems in presence of fluid-structure interaction
Received: 31 May 2016 / Revised: 20 February 2017 / Accepted: 24 February 2017
Modelling and numerical approximation for the nonconservative bitemperature Euler model
Received: 16 August 2015 / Revised: 15 September 2016 / Accepted: 25 February 2017
A posteriori error analysis for the optimal control of magneto-static fields
Received: 20 August 2016 / Revised: 20 January 2017 / Accepted: 07 March 2017
A penalty method for a linear Koiter shell model
Received: 22 April 2016 / Revised: 03 October 2016 / Accepted: 07 March 2017
Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type
Received: 11 April 2016 / Revised: 11 February 2017 / Accepted: 07 March 2017
Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems
Received: 03 October 2016 / Revised: 13 March 2017 / Accepted: 14 March 2017
Numerical analysis of a nonlinearly stable and positive Control Volume Finite Element scheme for Richards equation with anisotropy
Received: 27 September 2016 / Revised: 07 March 2017 / Accepted: 15 March 2017
Analysis of patch-test consistent atomistic-to-continuum coupling with higher-order finite elements
Received: 24 October 2016 / Revised: 15 March 2017 / Accepted: 16 March 2017
Some a posteriori error bounds for reduced order modelling of (non-)parametrized linear systems
Received: 20 January 2016 / Revised: 15 March 2017 / Accepted: 16 March 2017
Higher order topological derivatives for three-dimensional anisotropic elasticity
Received: 26 May 2016 / Revised: 14 February 2017 / Accepted: 28 March 2017
Convergence of a vector penalty projection scheme for the Navier Stokes equations with moving body
Received: 24 May 2016 / Revised: 26 February 2017 / Accepted: 28 March 2017
Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs
Received: 29 December 2016 / Revised: 09 March 2017 / Accepted: 02 April 2017
An adaptive finite element PML method for the elastic wave scattering problem in periodic structures
Received: 23 December 2016 / Revised: 22 March 2017 / Accepted: 05 April 2017
Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: necessary and sufficient conditions of stability
Received: 18 August 2016 / Revised: 28 February 2017 / Accepted: 10 April 2017
Geometric constraints in descent methods for shape optimisation
Received: 16 November 2015 / Revised: 07 April 2017 / Accepted: 18 April 2017
Cellulose biodegradation models; an example of cooperative interactions in structured populations
Received: 04 September 2016 / Revised: 14 March 2017 / Accepted: 20 April 2017
Semi-discrete error estimates and implementation of a mixed method for the Stefan problem
Received: 29 July 2016 / Revised: 19 January 2017 / Accepted: 20 April 2017
A note on semilinear fractional elliptic equation: analysis and discretization
Received: 20 July 2016 / Revised: 09 March 2017 / Accepted: 20 April 2017
Coriolis effect on water waves
Received: 16 December 2015 / Revised: 29 January 2017 / Accepted: 20 April 2017
Mathematical modeling of microtubule dynamic instability: new insight into the link between GTP-hydrolysis and microtubule aging
Received: 17 September 2016 / Revised: 25 January 2017 / Accepted: 26 April 2017
Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients
Received: 25 August 2016 / Revised: 10 February 2017 / Accepted: 26 April 2017
A finite volume method for undercompressive shock waves in two space dimensions
Received: 20 September 2016 / Revised: 23 March 2017 / Accepted: 27 April 2017
Analysis of a mimetic finite difference approximation of flows in fractured porous media
Received: 17 November 2016 / Revised: 03 April 2017 / Accepted: 05 May 2017
A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation
Received: 10 September 2014 / Revised: 30 March 2017 / Accepted: 01 June 2017
On the homogenization of the Helmholtz problem with thin perforated walls of finite length
Received: 17 August 2016 / Revised: 27 March 2017 / Accepted: 14 June 2017
Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes
Received: 12 August 2016 / Revised: 04 May 2017 / Accepted: 19 June 2017