convergence of a homotopy finite element method for computing steady states of Burgers' equation
Received: 07 July 2017 / Revised: 20 June 2018 / Accepted: 17 July 2018
ESAIM: Mathematical Modelling and Numerical Analysis
Accepted manuscripts
An easily computable error estimator in space and time for the wave equation
Received: 25 October 2017 / Revised: 18 May 2018 / Accepted: 25 August 2018
Modeling and optimizing a road de-icing device by a nonlinear heating
Received: 19 March 2018 / Revised: 19 July 2018 / Accepted: 25 September 2018
study of an asymptotic preserving scheme for the quasi-neutral Euler-Boltzmann system in the drift regime
Received: 04 December 2017 / Revised: 26 July 2018 / Accepted: 08 November 2018
The nonconforming virtual element method for eigenvalue problems
Received: 08 February 2018 / Revised: 31 October 2018 / Accepted: 29 November 2018
Phase-field modelling and computing for a large number of phases
Received: 14 May 2018 / Revised: 19 November 2018 / Accepted: 13 December 2018
Path-Conservative Central-Upwind Schemes for Nonconservative Hyperbolic Systems
Received: 10 April 2018 / Revised: 06 December 2018 / Accepted: 20 December 2018
Relaxation and simulation of a barotropic three-phase flow model
Received: 20 March 2018 / Revised: 05 December 2018 / Accepted: 28 December 2018
A positivity-preserving central-upwind scheme for isentropic two-phase flows through deviated pipes
Received: 08 June 2018 / Revised: 17 December 2018 / Accepted: 11 January 2019
Analysis of electromagnetic scattering from plasmonic inclusions beyond the quasi-static approximation and applications
Received: 28 October 2018 / Revised: 17 December 2018 / Accepted: 24 January 2019
Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension
Received: 16 March 2017 / Revised: 17 December 2018 / Accepted: 26 January 2019
Algebraic flux correction schemes preserving the eigenvalue range of symmetric tensor fields
Received: 11 April 2018 / Revised: 21 November 2018 / Accepted: 26 January 2019
Penalty method with Crouzeix--Raviart approximation for the Stokes equations under slip boundary condition
Received: 25 September 2018 / Accepted: 26 January 2019
Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization
Received: 11 May 2018 / Revised: 20 November 2018 / Accepted: 30 January 2019
Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model
Received: 03 August 2018 / Revised: 24 January 2019 / Accepted: 30 January 2019
Entropy stable essentially nonoscillatory methods based on RBF reconstruction
Received: 13 August 2018 / Revised: 11 January 2019 / Accepted: 11 February 2019
Superconvergence points of integer and fractional derivatives of special Hermite interpolations and its applications in solving FDEs
Received: 18 July 2018 / Revised: 03 February 2019 / Accepted: 21 February 2019
Analysis of the 3D non-linear Stokes problem coupled to transport-diffusion for shear-thinning heterogeneous microscale flows, applications to digital rock physics and mucociliary clearance
Received: 19 July 2018 / Revised: 26 January 2019 / Accepted: 21 February 2019
Combined face based and nodal based discretizations on hybrid meshes for non-isothermal two-phase Darcy flow problems
Received: 26 June 2018 / Revised: 15 January 2019 / Accepted: 18 February 2019
A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square
Received: 20 December 2017 / Revised: 14 December 2018 / Accepted: 18 February 2019
On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions
Received: 02 June 2018 / Revised: 20 December 2018 / Accepted: 08 March 2019
Variational method for a backward problem for a time-fractional diffusion equation
Received: 18 May 2017 / Revised: 06 January 2019 / Accepted: 13 March 2019
Raviart-Thomas finite elements of Petrov-Galerkin type
Received: 19 October 2017 / Revised: 08 February 2019 / Accepted: 13 March 2019
Analysis of the error in an iterative algorithm for asymptotic regulation of linear distributed parameter control systems
Received: 11 December 2017 / Revised: 08 February 2019 / Accepted: 13 March 2019
A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations
Received: 27 July 2018 / Revised: 17 December 2018 / Accepted: 13 March 2019
Finite element method with local damage of the mesh
Received: 13 August 2018 / Revised: 04 February 2019 / Accepted: 13 March 2019
Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications
Received: 25 July 2018 / Revised: 07 March 2019 / Accepted: 16 March 2019
Numerical approximation of stochastic time-fractional diffusion
Received: 24 September 2018 / Revised: 10 March 2019 / Accepted: 16 March 2019
Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides
Received: 25 June 2018 / Revised: 08 February 2019 / Accepted: 27 March 2019
A three phase flow model with two miscible phases
Received: 12 January 2019 / Revised: 06 April 2019 / Accepted: 21 April 2019
On Euler preconditioned SHSS iterative method for a class of complex symmetric linear systems
Received: 29 October 2017 / Revised: 19 February 2019 / Accepted: 25 April 2019
Quasi-optimality of an adaptive finite element method for cathodic protection
Received: 16 March 2018 / Revised: 13 January 2019 / Accepted: 25 April 2019
A dynamic multilayer shallow water model for polydisperse sedimentation.
Received: 26 March 2018 / Revised: 25 January 2019 / Accepted: 25 April 2019
Convergence of exponential Lawson-multistep methods for the MCTDHF equations
Received: 30 March 2018 / Revised: 22 December 2018 / Accepted: 25 April 2019
Splitting method for elliptic equations with line sources
Received: 25 October 2018 / Revised: 14 March 2019 / Accepted: 18 April 2019
Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients
Received: 30 April 2017 / Revised: 30 October 2018 / Accepted: 18 February 2019
Stability of numerical methods under the regime-switching jump-diffusion model with variable coefficients
Received: 02 July 2018 / Revised: 18 March 2019 / Accepted: 02 May 2019
New volume consistent approximation for binary breakage population balance equation and its convergence analysis
Received: 20 November 2018 / Revised: 30 April 2019 / Accepted: 07 May 2019
Energy-corrected FEM and explicit time-stepping for parabolic problems
Received: 03 March 2019 / Revised: 27 April 2019 / Accepted: 06 May 2019
The finite volume method on a Schwarzschild background
Received: 30 January 2019 / Accepted: 07 May 2019
A relaxation scheme for a hyperbolic multiphase flow model. Part I: Barotropic EOS
Received: 10 April 2018 / Revised: 28 February 2019 / Accepted: 25 April 2019
Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space
Received: 06 March 2018 / Revised: 24 November 2018 / Accepted: 25 April 2019