Publications (72)
A Multiscale Method for Porous Microstructures
Donald L. Brown, Daniel Peterseim
Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems
Philip Freese, Moritz Hauck, Daniel Peterseim
Adaptive Mesh Refinement Strategies in Isogeometric Analysis - A Computational Comparison
Paul Hennig, Markus Kästner, Philipp Morgenstern +1
Explicit Computational Wave Propagation in Micro-Heterogeneous Media
Roland Maier, Daniel Peterseim
Quantum Realization of the Finite Element Method
Matthias Deiml, Daniel Peterseim
Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency
Patrick Henning, Daniel Peterseim
Computation of eigenvalues by numerical upscaling
Axel Malqvist, Daniel Peterseim
Complexity of hierarchical refinement for a class of admissible mesh configurations
Annalisa Buffa, Carlotta Giannelli, Philipp Morgenstern +1
Reconstruction of quasi-local numerical effective models from low-resolution measurements
Alfonso Caiazzo, Roland Maier, Daniel Peterseim
Stable Multiscale Petrov-Galerkin Finite Element Method for High Frequency Acoustic Scattering
Dietmar Gallistl, Daniel Peterseim
Nonlinear quantum computation by amplified encodings
Matthias Deiml, Daniel Peterseim
Computational multiscale methods for linear heterogeneous poroelasticity
Robert Altmann, Eric Chung, Roland Maier +2
Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound
Dietmar Gallistl, Moritz Hauck, Yizhou Liang +1
Reconstructing microstructures from statistical descriptors using neural cellular automata
Paul Seibert, Alexander RaÃloff, Yichi Zhang +4
Computation of quasilocal effective diffusion tensors and connections to the mathematical theory of homogenization
Dietmar Gallistl, Daniel Peterseim
Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations
Donald L. Brown, Dietmar Gallistl, Daniel Peterseim
Operator Compression with Deep Neural Networks
Fabian Kröpfl, Roland Maier, Daniel Peterseim
Localization and delocalization of ground states of Bose-Einstein condensates under disorder
Robert Altmann, Patrick Henning, Daniel Peterseim
Localization of Elliptic Multiscale Problems
Axel Malqvist, Daniel Peterseim
Comparison results for the Stokes equations
Carsten Carstensen, Karonline Köhler, Daniel Peterseim +1
Constrained Optimal Polynomials for Quantum Linear System Solvers
Matthias Deiml, Daniel Peterseim
Sparse Compression of Expected Solution Operators
Michael Feischl, Daniel Peterseim
Hierarchical Rank-One Sequence Convexification for the Relaxation of Variational Problems with Microstructures
Maximilian Köhler, Timo Neumeier, Malte. A. Peter +2
Thermo-optical interactions in a dye-microcavity photon Bose-Einstein condensate
Hadiseh Alaeian, Mira Schedensack, Clara Bartels +2
Quantum Sampling and Moment Estimation for Transformed Gaussian Random Fields
Matthias Deiml, Daniel Peterseim
Multi-resolution Localized Orthogonal Decomposition for Helmholtz problems
Moritz Hauck, Daniel Peterseim
Efficient implementation of the Localized Orthogonal Decomposition method
Christian Engwer, Patrick Henning, Axel MÃ¥lqvist +1
Quantum Enhanced Numerical Homogenization
Loïc Balazi, Matthias Deiml, Daniel Peterseim
Computational multiscale methods for nondivergence-form elliptic partial differential equations
Philip Freese, Dietmar Gallistl, Daniel Peterseim +1
Energy-adaptive Riemannian optimization on the Stiefel manifold
Robert Altmann, Daniel Peterseim, Tatjana Stykel
Neural Network Localized Orthogonal Decomposition for Numerical Homogenization of Diffusion Operators with Random Coefficients
Fabian Kröpfl, Daniel Peterseim, Elisabeth Ullmann
Oversampling for the Multiscale Finite Element Method
Patrick Henning, Daniel Peterseim
Robust Numerical Upscaling of Elliptic Multiscale Problems at High Contrast
Daniel Peterseim, Robert Scheichl
Super-localization of elliptic multiscale problems
Moritz Hauck, Daniel Peterseim
The -method for the Gross-Pitaevskii eigenvalue problem
Robert Altmann, Patrick Henning, Daniel Peterseim
A localized orthogonal decomposition method for semi-linear elliptic problems
Patrick Henning, Axel Malqvist, Daniel Peterseim
Neural Network Enhanced Polyconvexification of Isotropic Energy Densities in Computational Mechanics
Loïc Balazi, Timo Neumeier, Malte A. Peter +1
A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems
Francesca Bonizzoni, Moritz Hauck, Daniel Peterseim
Multiscale Partition of Unity
Daniel Peterseim, Patrick Henning, Philipp Morgenstern
Generalized finite element methods for quadratic eigenvalue problems
Axel MÃ¥lqvist, Daniel Peterseim
Computational Multiscale Methods for Linear Poroelasticity with High Contrast
Shubin Fu, Robert Altmann, Eric T. Chung +3
From Domain Decomposition to Homogenization Theory
Daniel Peterseim, Dora Varga, Barbara Verfürth
Energy-Adaptive Riemannian Conjugate Gradient Method for Density Functional Theory
Daniel Peterseim, Jonas Püschel, Tatjana Stykel
Variational Multiscale Stabilization and the Exponential Decay of Fine-scale Correctors
Daniel Peterseim
Analysis-suitable adaptive T-mesh refinement with linear complexity
Philipp Morgenstern, Daniel Peterseim
Metric-driven numerical methods
Patrick Henning, Laura Huynh, Daniel Peterseim
Super-Localized Orthogonal Decomposition Method for Heterogeneous Linear Elasticity
Camilla Belponer, José C. Garay, Peter Munch +1
Super-localized orthogonal decomposition for convection-dominated diffusion problems
Francesca Bonizzoni, Philip Freese, Daniel Peterseim
Relaxing the CFL condition for the wave equation on adaptive meshes
Daniel Peterseim, Mira Schedensack
Effective permeabilities for flow through anisotropic microscopic geometries
Loïc Balazi, Fabian Holzberger, Stephan B. Lunowa +3
Numerical Homogenization of Heterogeneous Fractional Laplacians
Donald L. Brown, Joscha Gedicke, Daniel Peterseim
A Super-Localized Generalized Finite Element Method
Philip Freese, Moritz Hauck, Tim Keil +1
Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence
Moritz Hauck, Yizhou Liang, Daniel Peterseim
Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials
Robert Altmann, Patrick Henning, Daniel Peterseim
Two-Level discretization techniques for ground state computations of Bose-Einstein condensates
Patrick Henning, Axel MÃ¥lqvist, Daniel Peterseim
Localized computation of eigenstates of random Schrödinger operators
Robert Altmann, Daniel Peterseim
Crank-Nicolson Galerkin approximations to nonlinear Schrödinger equations with rough potentials
Patrick Henning, Daniel Peterseim
Neural Network Acceleration of Iterative Methods for Nonlinear Schrödinger Eigenvalue Problems
Daniel Peterseim, Jan-F. Pietschmann, Jonas Püschel +1
Computational polyconvexification of isotropic functions
Timo Neumeier, Malte A. Peter, Daniel Peterseim +1
A priori error analysis of a numerical stochastic homogenization method
Julian Fischer, Dietmar Gallistl, Daniel Peterseim
Hierarchical Super-Localized Orthogonal Decomposition Method
Jose C. Garay, Hannah Mohr, Daniel Peterseim +1
Computational high frequency scattering from high contrast heterogeneous media
Daniel Peterseim, Barbara Verfürth
A Simple Collocation-Type Approach to Numerical Stochastic Homogenization
Moritz Hauck, Hannah Mohr, Daniel Peterseim
An analysis of a class of variational multiscale methods based on subspace decomposition
Ralf Kornhuber, Daniel Peterseim, Harry Yserentant
Unitaria: Quantum Linear Algebra via Block Encodings
Matthias Deiml, Oliver Hüttenhofer, Ram Mosco +2
Super-localised wave function approximation of Bose-Einstein condensates
Daniel Peterseim, Johan Wärnegård, Christoph Zimmer
Multidimensional rank-one convexification of incremental damage models at finite strains
Daniel Balzani, Maximilian Köhler, Timo Neumeier +2
Neural network approximation of coarse-scale surrogates in numerical homogenization
Fabian Kröpfl, Roland Maier, Daniel Peterseim
Numerical stochastic homogenization by quasilocal effective diffusion tensors
Dietmar Gallistl, Daniel Peterseim
Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d
Guanglian Li, Daniel Peterseim, Mira Schedensack
Eliminating the pollution effect in Helmholtz problems by local subscale correction
Daniel Peterseim
Convergence of a discontinuous Galerkin multiscale method
Daniel Elfverson, Emmanuil H. Georgoulis, Axel MÃ¥lqvist +1