25 citations · 26 across the 3 of their papers we have counts for
8 papers · 1 filter
A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems
Francesca Bonizzoni, Moritz Hauck, Daniel Peterseim
This paper presents a method for the numerical treatment of reaction-convection-diffusion problems with parameter-dependent coefficients that are arbitrary rough and possibly varyi…
Neural network approximation of coarse-scale surrogates in numerical homogenization
Fabian Kröpfl, Roland Maier, Daniel Peterseim
Coarse-scale surrogate models in the context of numerical homogenization of linear elliptic problems with arbitrary rough diffusion coefficients rely on the efficient solution of f…
A priori error analysis of a numerical stochastic homogenization method
Julian Fischer, Dietmar Gallistl, Daniel Peterseim
This paper provides an a~priori error analysis of a localized orthogonal decomposition method (LOD) for the numerical stochastic homogenization of a model random diffusion problem.…
Localized computation of eigenstates of random Schrödinger operators
Robert Altmann, Daniel Peterseim
This paper concerns the numerical approximation of low-energy eigenstates of the linear random Schrödinger operator. Under oscillatory high-amplitude potentials with a sufficient d…
Computational high frequency scattering from high contrast heterogeneous media
Daniel Peterseim, Barbara Verfürth
This article considers the computational (acoustic) wave propagation in strongly heterogeneous structures beyond the assumption of periodicity. A high contrast between the constitu…
Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency
Patrick Henning, Daniel Peterseim
We propose a new normalized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem based on an energy inner product that depends on time through the density of the flow…