10 papers
Boundary determination from local boundary data for a fractional Calderón problem
Heiko Gimperlein, Magnus Goffeng
We introduce a new Calderón-type problem for fractional powers of Schrödinger operators, with local boundary conditions. The associated Dirichlet-to-Neumann operator maps Dirichlet…
Sharp mapping properties of Poisson transforms and the Baum-Connes conjecture
Heiko Gimperlein, Magnus Goffeng
We prove a sharp, quantitative analogue of Helgason's conjecture at the level of distributions: For a semisimple Lie group of real rank one, Poisson transforms map a Sobolev sp…
The magnitude and spectral geometry
Heiko Gimperlein, Magnus Goffeng, Nikoletta Louca
We study the geometric significance of Leinster's notion of magnitude for a smooth manifold with boundary of arbitrary dimension, motivated by open questions for the unit disk in $…
A posteriori error estimates and space-adaptive mesh refinements for time-dependent scattering problems
Théophile Chaumont-Frelet, Heiko Gimperlein, Ignacio Labarca-Figueroa +1
This work studies a posteriori error estimates and their use for time-dependent acoustic scattering problems, formulated as a time-dependent boundary integral equation based on a s…
Adaptive time-domain boundary element methods for the wave equation with Neumann boundary conditions
Alessandra Aimi, Giulia Di Credico, Heiko Gimperlein +1
This article investigates adaptive mesh refinement procedures for the time-domain wave equation with Neumann boundary conditions, formulated as an equivalent hypersingular boundary…
Numerical analysis for constrained and unconstrained Q-tensor energies for liquid crystals
Heiko Gimperlein, Ruma R. Maity
This paper introduces a comprehensive finite element approximation framework for three-dimensional Landau-de Gennes -tensor energies for nematic liquid crystals, with a particul…