Concept
Opérateur elliptique
Publications associées (32)
On the Experimental Transferability of Spectral Graph Convolutional Networks
Spectral Graph Convolutional Networks (GCNs) are generalisations of standard convolutional for graph-structured data using the Laplacian operator. Recent work has shown that spectral GCNs have an intrinsic transferability. This work verifies this by studyi ...
2020Time-independent feedbacks for the null controllability of homogeneous quasilinear hyperbolic systems in one dimensional space
We consider the null controllability of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other side. We present time-independent feedbacks for the null-controllability for -solutions at any ...
2020MATHICSE Technical Report: Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach
Annalisa Buffa, Pablo Antolin Sanchez, Rafael Vazquez Hernandez, Luca Coradello
The focus of this work is on the development of an error-driven isogeometric framework, capable of automatically performing an adaptive simulation in the context of second- and fourth-order, elliptic partial differential equations defined on two-dimensiona ...
MATHICSE2019A remark on a surprising result by Bourgain in homogenization
In a recent work, Bourgain gave a fine description of the expectation of solutions of discrete linear elliptic equations on Zd with random coefficients in a perturbative regime using tools from harmonic analysis. This result is surprising for it goes beyon ...
2019Generalized Norm-compatible Systems on Unitary Shimura Varieties
We define and study in terms of integral IwahoriâHecke algebras a new class of geometric operators acting on the Bruhat-Tits building of connected reductive groups over p-adic fields. These operators, which we call U-operators, generalize the geometric n ...
EPFL2019A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations
Assyr Abdulle, Giacomo Rosilho De Souza
A local weighted discontinuous Galerkin gradient discretization method for solving elliptic equations is introduced. The local scheme is based on a coarse grid and successively improves the solution solving a sequence of local elliptic problems in high gra ...
EDP SCIENCES S A2019On the Averaged Green’s Function of an Elliptic Equation with Random Coefficients
We consider a divergence-form elliptic difference operator on the lattice Zd, with a coefficient matrix that is an i.i.d. perturbation of the identity matrix. Recently, Bourgain introduced novel techniques from harmonic analysis to prove the convergence of ...
2019Treatment of long-range interactions arising in the Enskog-Vlasov description of dense fluids
Mohammadhossein Gorji, Mohsen Sadr
The kinetic theory of rarefied gases and numerical schemes based on the Boltzmann equation, have evolved to the cornerstone of non-equilibrium gas dynamics. However, their counterparts in the dense regime remain rather exotic for practical non-continuum sc ...
2019Sparse Spline Approximation on the Hypersphere by Generalised Total Variation Basis Pursuit
Matthieu Martin Jean-André Simeoni
Many scientific inquiries in natural sciences involve approximating a spherical field –namely a scalar quantity defined over a continuum of directions– from generalised samples of the latter. Typically, a convex optimisation problem is formulated in terms ...
2019Spinning operators and defects in conformal field theory
We study the kinematics of correlation functions of local and extended operators in a conformal field theory. We present a new method for constructing the tensor structures associated to primary operators in an arbitrary bosonic representation of the Loren ...
Springer2019