On a class of splines free of Gibbs phenomenon
Received: 08 April 2019 / Revised: 08 February 2020 / Accepted: 28 March 2020
ESAIM: Mathematical Modelling and Numerical Analysis
Accepted manuscripts
Numerical approximations for a fully fractional Allen-Cahn equation
Received: 29 March 2019 / Revised: 27 February 2020 / Accepted: 30 March 2020
Computing homogenized coefficients via multiscale representation and hierarchical hybrid grids
Received: 19 June 2019 / Revised: 08 January 2020 / Accepted: 05 April 2020
A local discontinuous Galerkin method for nonlinear parabolic SPDEs
Received: 18 May 2019 / Revised: 05 April 2020 / Accepted: 13 April 2020
A convergent convex splitting scheme for a nonlocal Cahn--Hilliard--Oono type equation with a transport term
Received: 29 June 2018 / Revised: 05 March 2020 / Accepted: 17 April 2020
Error analysis of a fully discrete finite element method for incompressible flow with variable density
Received: 18 November 2018 / Revised: 03 December 2019 / Accepted: 17 April 2020
An integral equation formulation of the N-body dielectric spheres problem. Part 1: Numerical analysis
Received: 04 February 2019 / Revised: 08 January 2020 / Accepted: 25 April 2020
On particles and splines in bounded domains
Received: 18 February 2019 / Revised: 25 April 2020 / Accepted: 28 April 2020
A four-field three-phase flow model with both miscible and immiscible components
Received: 09 January 2020 / Revised: 15 April 2020 / Accepted: 25 May 2020
Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem
Received: 19 February 2020 / Revised: 15 May 2020 / Accepted: 26 May 2020
Numerical analysis for a chemotaxis-Navier-Stokes system
Received: 21 October 2019 / Revised: 17 May 2020 / Accepted: 04 June 2020
Staggered explicit-implicit time-discretisation for elastodynamics with dissipative internal variables
Received: 16 October 2019 / Revised: 29 April 2020 / Accepted: 05 June 2020
Guaranteed and robust {$L^2$}-norm a posteriori error estimates for {1D} linear advection problems
Received: 21 April 2019 / Revised: 30 March 2020 / Accepted: 10 June 2020
Explicit solutions to a free interface model for the static/flowing transition in thin granular flows
Received: 08 October 2019 / Revised: 04 May 2020 / Accepted: 22 June 2020
Operator splitting around Euler-Maruyama scheme and high order discretization of heat kernels
Received: 01 July 2019 / Revised: 29 February 2020 / Accepted: 25 June 2020
Error analysis of a conforming and locking-free four-field formulation for the stationary Biot's model
Received: 02 December 2019 / Revised: 20 June 2020 / Accepted: 29 June 2020
Asymptotic behavior of acoustic waves scattered by very small obstacles
Received: 03 April 2020 / Revised: 22 June 2020 / Accepted: 05 July 2020
General polytopal H(div)-conformal finite elements and their discretisation spaces.
Received: 17 October 2019 / Revised: 16 July 2020 / Accepted: 18 July 2020
Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems
Received: 11 February 2020 / Revised: 16 May 2020 / Accepted: 13 July 2020
Convergence of the likelihood ratio method for linear response of non-equilibrium stationary states
Received: 07 February 2020 / Accepted: 23 July 2020
Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics
Received: 10 March 2020 / Accepted: 23 July 2020
Discrete transparent boundary conditions for the two-dimensional leap-frog scheme
Received: 06 September 2019 / Revised: 16 July 2020 / Accepted: 25 July 2020
An asymptotic model based on matching far and near field expansions for thin gratings problems
Received: 16 October 2019 / Revised: 11 June 2020 / Accepted: 28 July 2020
Analytical and numerical bifurcation analysis of a forest ecosystem model with human interaction
Received: 25 October 2019 / Revised: 16 June 2020 / Accepted: 28 July 2020
An integral equation formulation of the N-body dielectric spheres problem. Part 2: Complexity analysis
Received: 15 November 2019 / Revised: 18 July 2020 / Accepted: 31 July 2020
Nonlinear methods for model reduction
Received: 11 May 2020 / Accepted: 03 August 2020
A polygonal discontinuous Galerkin method with minus one stabilization
Received: 26 September 2019 / Revised: 07 August 2020 / Accepted: 12 August 2020
Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics
Received: 28 August 2019 / Revised: 30 June 2020 / Accepted: 17 August 2020
Numerical upscaling for heterogeneous materials in fractured domains
Received: 10 August 2019 / Revised: 17 July 2020 / Accepted: 11 August 2020
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation
Received: 02 December 2019 / Revised: 20 May 2020 / Accepted: 25 August 2020
Nitsche based models for the unilateral contact of plates
Received: 03 April 2020 / Revised: 19 July 2020 / Accepted: 25 August 2020
On the locking-free three-field virtual element methods for Biot's consolidation model in poroelasticity
Received: 23 February 2020 / Revised: 13 July 2020 / Accepted: 28 August 2020
Optimal a priori error estimates in weighted Sobolev spaces for the Poisson problem with singular sources
Received: 14 August 2019 / Revised: 22 August 2020 / Accepted: 01 September 2020
Free Access
Erratum
Erratum to ``A C1-P2 finite element without nodal basis''
Received: 24 November 2019 / Revised: 11 February 2020 / Accepted: 17 February 2020
Asymptotic analysis for periodic perforated shells
Received: 06 November 2019 / Revised: 21 July 2020 / Accepted: 03 September 2020
Mixed methods for degenerate elliptic problems and application to fractional Laplacian
Received: 23 April 2020 / Revised: 14 August 2020 / Accepted: 08 September 2020
Central discontinuous Galerkin methods on overlapping meshes for wave equations
Received: 05 April 2020 / Revised: 15 September 2020 / Accepted: 17 September 2020
Quantification of model uncertainty on path-space via goal-oriented relative entropy
Received: 27 March 2020 / Revised: 02 September 2020 / Accepted: 05 October 2020
Nonlocal PageRank
Received: 29 January 2020 / Revised: 15 July 2020 / Accepted: 05 October 2020
Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order
Received: 23 April 2020 / Revised: 14 July 2020 / Accepted: 05 October 2020
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs
Received: 14 April 2020 / Revised: 01 September 2020 / Accepted: 16 October 2020
Electromagnetic Steklov eigenvalues: approximation analysis
Received: 07 October 2019 / Revised: 30 June 2020 / Accepted: 10 November 2020
Error estimation of the Besse relaxation scheme for a semilinear heat equation
Received: 14 February 2019 / Revised: 10 November 2020 / Accepted: 10 November 2020
Viscoelastic flows of Maxwell fluids with conservation laws
Received: 11 December 2017 / Revised: 28 July 2020 / Accepted: 10 November 2020
Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics
Received: 30 July 2019 / Revised: 20 July 2020 / Accepted: 10 November 2020
An iterative method for elliptic problems with rapidly oscillating coefficients
Received: 27 March 2020 / Revised: 10 September 2020 / Accepted: 19 November 2020
Unified analysis of discontinuous Galerkin and $C^0$-interior penalty finite element methods for Hamilton--Jacobi--Bellman and Isaacs equations
Received: 15 June 2020 / Revised: 13 October 2020 / Accepted: 24 November 2020