30 citations · 376 across the 49 of their papers we have counts for
52 papers
A pedestrian's approach to Bayesian methods for inverse problems
Heiko Gimperlein, Michael Oberguggenberger
In the past two decades, the Bayesian approach to inverse problems in infinite dimensional spaces has seen significant developments in theory, Markov chain Monte Carlo (MCMC) metho…
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…
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…