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math.NA2017★ 1 cited

Computing effectively stabilizing controllers for a class of D systems

Yacine Bouzidi, Thomas Cluzeau, Guillaume Moroz +1

In this paper, we study the internal stabilizability and internal stabilization problems for multidimensional (nD) systems. Within the fractional representation approach, a multidi…

math.NA2017★ 19 cited

Variational projector augmented-wave method: theoretical analysis and preliminary numerical results

Xavier Blanc, Eric Cancès, Mi-Song Dupuy

In Kohn-Sham electronic structure computations, wave functions have singularities at nuclear positions. Because of these singularities, plane-wave expansions give a poor approximat…

math.NA2017★ 49 cited

Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption

Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham +2

This paper rigorously analyses preconditioners for the time-harmonic Maxwell equations with absorption, where the PDE is discretised using curl-conforming finite-element methods of…

math.NA2017★ 1 cited

Spectral approximation of elliptic operators by the Hybrid High-Order method

Victor Calo, Matteo Cicuttin, Quanling Deng +1

We study the approximation of the spectrum of a second-order elliptic differential operator by the Hybrid High-Order (HHO) method. The HHO method is formulated using cell and face…

math.NA2017★ 17 cited

Multiscale Finite Element methods for advection-dominated problems in perforated domains

Claude Le Bris, Frederic Legoll, Francois Madiot

We consider an advection-diffusion equation that is advection-dominated and posed on a perforated domain. On the boundary of the perforations, we set either homogeneous Dirichlet o…

math.NA2017

Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm

Jean-David Benamou, Guillaume Carlier, Luca Nenna

Starting from Brenier's relaxed formulation of the incompressible Euler equation in terms of geodesics in the group of measure-preserving diffeomorphisms, we propose a numerical me…