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Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems
Received: 11 February 2019 / Revised: 08 July 2019 / Accepted: 16 October 2019
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ESAIM: Mathematical Modelling and Numerical Analysis
Accepted manuscripts
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Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs
Received: 27 June 2018 / Revised: 30 September 2019 / Accepted: 19 December 2019
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A model for suspension of clusters of particle pairs
Received: 04 July 2019 / Accepted: 02 January 2020
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Reduced basis greedy selection using random training sets
Received: 22 October 2018 / Revised: 18 October 2019 / Accepted: 13 January 2020
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Analysis of cell size effects in atomistic crack propagation
Received: 11 July 2019 / Revised: 20 December 2019 / Accepted: 18 January 2020
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A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
Received: 11 March 2019 / Revised: 23 January 2020 / Accepted: 24 January 2020
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Trend to equilibrium for systems with small cross-diffusion
Received: 19 June 2019 / Revised: 19 January 2020 / Accepted: 04 February 2020
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A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem
Received: 08 August 2019 / Revised: 05 February 2020 / Accepted: 09 February 2020
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A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary
Received: 22 May 2019 / Revised: 24 January 2020 / Accepted: 11 February 2020
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A dual hybrid Virtual Element Method for plane elasticity problems
Received: 12 February 2019 / Revised: 01 November 2019 / Accepted: 11 February 2020
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Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise
Received: 29 October 2019 / Revised: 12 February 2020 / Accepted: 17 February 2020
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Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces.
Received: 24 September 2019 / Revised: 25 January 2020 / Accepted: 22 February 2020
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PDE eigenvalue iterations with applications in two-dimensional photonic crystals
Received: 03 May 2019 / Revised: 30 November 2019 / Accepted: 26 February 2020
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Analysis of an hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system
Received: 24 August 2019 / Revised: 29 January 2020 / Accepted: 03 March 2020
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High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs
Received: 23 July 2019 / Revised: 14 February 2020 / Accepted: 11 March 2020
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Numerical algorithm for the model describing anomalous diffusion in expanding media
Received: 12 October 2019 / Revised: 29 January 2020 / Accepted: 11 March 2020
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Mathematical modelling of Acoustic Radiation Force in transient shear wave elastography in the heart
Received: 05 April 2019 / Revised: 20 December 2019 / Accepted: 17 March 2020
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Locality of interatomic forces in tight binding models for insulators
Received: 17 August 2019 / Revised: 07 February 2020 / Accepted: 24 March 2020
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On a class of splines free of Gibbs phenomenon
Received: 08 April 2019 / Revised: 08 February 2020 / Accepted: 28 March 2020
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Numerical approximations for a fully fractional Allen-Cahn equation
Received: 29 March 2019 / Revised: 27 February 2020 / Accepted: 30 March 2020
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Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation
Received: 24 October 2019 / Revised: 14 March 2020 / Accepted: 04 April 2020
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Computing homogenized coefficients via multiscale representation and hierarchical hybrid grids
Received: 19 June 2019 / Revised: 08 January 2020 / Accepted: 05 April 2020
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Some multiple flow direction algorithms for overland flow on general meshes
Received: 17 September 2019 / Revised: 06 April 2020 / Accepted: 09 April 2020
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A local discontinuous Galerkin method for nonlinear parabolic SPDEs
Received: 18 May 2019 / Revised: 05 April 2020 / Accepted: 13 April 2020
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Higher-order finite element approximation of the dynamic Laplacian
Received: 24 July 2019 / Revised: 06 April 2020 / Accepted: 13 April 2020
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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
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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
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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
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Geometrically intrinsic modeling of shallow water flows
Received: 08 July 2019 / Revised: 10 February 2020 / Accepted: 25 April 2020
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On particles and splines in bounded domains
Received: 18 February 2019 / Revised: 25 April 2020 / Accepted: 28 April 2020
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Galerkin–collocation approximation in time for the wave equation and its post-processing
Received: 20 August 2019 / Revised: 09 April 2020 / Accepted: 01 May 2020
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Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction--diffusion problems
Received: 17 September 2019 / Revised: 01 May 2020 / Accepted: 04 May 2020
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A parameter-robust iterative method for Stokes-Darcy problems retaining local mass conservation
Received: 22 July 2019 / Revised: 29 April 2020 / Accepted: 06 May 2020
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The Hessian Riemannian flow and Newton's method for Effective Hamiltonians and Mather measures
Received: 09 August 2019 / Revised: 31 March 2020 / Accepted: 08 May 2020
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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
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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
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Numerical analysis for a chemotaxis-Navier-Stokes system
Received: 21 October 2019 / Revised: 17 May 2020 / Accepted: 04 June 2020
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Staggered explicit-implicit time-discretisation for elastodynamics with dissipative internal variables
Received: 16 October 2019 / Revised: 29 April 2020 / Accepted: 05 June 2020
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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
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Projection-based model reduction with dynamically transformed modes
Received: 23 December 2019 / Revised: 21 June 2020 / Accepted: 01 July 2020
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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
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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
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Finite element error analysis of surface stokes equations in stream function formulation
Received: 21 October 2019 / Revised: 24 June 2020 / Accepted: 29 June 2020
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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