Concept
Topologie discrète
Publications associées (51)
Seeding and Emergence of Composite Skyrmions in a van der Waals Magnet
Klaus Kern, Marko Burghard, Lukas Powalla
Topological charge plays a significant role in a range of physical systems. In particular, observations of real-space topological objects in magnetic materials have been largely limited to skyrmions - states with a unitary topological charge. Recently, mor ...
WILEY-V C H VERLAG GMBH2023An adaptive space-time algorithm for the incompressible Navier-Stokes equations
A space-time adaptive algorithm is presented to solve the incompressible Navier-Stokes equations. Time discretization is performed with the BDF2 method while continuous, piecewise linear anisotropic finite elements are used for the space discretization. Th ...
San Diego2023Fourier non-uniqueness sets from totally real number fields
Let K be a totally real number field of degree n >= 2. The inverse different of K gives rise to a lattice in Rn. We prove that the space of Schwartz Fourier eigenfunctions on R-n which vanish on the "component-wise square root" of this lattice, is infinite ...
EUROPEAN MATHEMATICAL SOC-EMS2022Fourier uniqueness and interpolation in Euclidean space
We prove that every Schwartz function in Euclidean space can be completely recovered given only its restrictions and the restrictions of its Fourier transform to all origin-centered spheres whose radii are square roots of integers. In particular, the only ...
EPFL2022High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics
This paper develops high-order accurate entropy stable (ES) adaptive moving mesh finite difference schemes for the two- and three-dimensional special relativistic hydrodynamic (RHD) and magnetohydrodynamic (RMHD) equations, which is the high-order accurate ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots
Francesca Bonizzoni, Davide Pradovera
We introduce several spatially adaptive model order reduction approaches tailored to non-coercive elliptic boundary value problems, specifically, parametric-in-frequency Helmholtz problems. The offline information is computed by means of adaptive finite el ...
2021Invariant Integrals on Topological Groups and Applications
We study a fixed point property for linear actions of discrete groups on weakly complete convex proper cones in locally convex topological vector spaces. We search to understand the class of discrete groups which enjoys this property and we try to generali ...
EPFL2021