25 citations · 51 across the 13 of their papers we have counts for
7 papers · 2 filters
Computational Multiscale Methods for Linear Poroelasticity with High Contrast
Shubin Fu, Robert Altmann, Eric T. Chung +3
In this work, we employ the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) to solve the problem of linear heterogeneous poroelasticity with…
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…
From Domain Decomposition to Homogenization Theory
Daniel Peterseim, Dora Varga, Barbara Verfürth
This paper rediscovers a classical homogenization result for a prototypical linear elliptic boundary value problem with periodically oscillating diffusion coefficient. Unlike class…
Sparse Compression of Expected Solution Operators
Michael Feischl, Daniel Peterseim
We show that the expected solution operator of prototypical linear elliptic partial differential operators with random coefficients is well approximated by a computable sparse matr…
Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials
Robert Altmann, Patrick Henning, Daniel Peterseim
This paper concerns spectral properties of linear Schrödinger operators under oscillatory high-amplitude potentials on bounded domains. Depending on the degree of disorder, we prov…
Explicit Computational Wave Propagation in Micro-Heterogeneous Media
Roland Maier, Daniel Peterseim
Explicit time stepping schemes are popular for linear acoustic and elastic wave propagation due to their simple nature which does not require sophisticated solvers for the inversio…