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Computational Random Multiscale Problems

Publications

Computational multiscale methods for nondivergence-form elliptic partial differential equations

Author(s): Philip Freese, Dietmar Gallistl, Daniel Peterseim, Timo Sprekeler
Published in: Computational Methods in Applied Mathematics, 2022, ISSN 1609-4840
Publisher: Walter de Gruyter and Co.
DOI: 10.48550/arxiv.2211.13731

Multi-resolution Localized Orthogonal Decomposition for Helmholtz problems

Author(s): Moritz Hauck, Daniel Peterseim
Published in: Multiscale Modeling & Simulation, Issue 15403459, 2022, Page(s) 657-684, ISSN 1540-3459
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1414607

Super-localization of elliptic multiscale problems

Author(s): Moritz Hauck, Daniel Peterseim
Published in: Mathematics of Computation, 2022, ISSN 0025-5718
Publisher: American Mathematical Society
DOI: 10.1090/mcom/3798

A Priori Error Analysis of a Numerical Stochastic Homogenization Method

Author(s): Julian Fischer, Dietmar Gallistl, Daniel Peterseim
Published in: SIAM Journal on Numerical Analysis, Issue 59/2, 2021, Page(s) 660-674, ISSN 0036-1429
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1308992

Operator Compression with Deep Neural Networks

Author(s): Kröpfl, Fabian; Maier, Roland; Peterseim, Daniel
Published in: Advances in Continuous and Discrete Models, Issue 2022, 2022, ISSN 2731-4235
Publisher: Springer
DOI: 10.1186/s13662-022-03702-y

Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots

Author(s): Francesca Bonizzoni, Davide Pradovera, Michele Ruggeri
Published in: Mathematics in Engineering, Issue 5/4, 2023, Page(s) 1-38, ISSN 2640-3501
Publisher: AIMS Press
DOI: 10.3934/mine.2023074

Numerical homogenization beyond scale separation

Author(s): Robert Altmann, Patrick Henning, Daniel Peterseim
Published in: Acta Numerica, Issue 30, 2021, Page(s) 1-86, ISSN 0962-4929
Publisher: Cambridge University Press
DOI: 10.1017/s0962492921000015

Localization and delocalization of ground states of Bose-Einstein condensates under disorder

Author(s): Altmann, Robert; Henning, Patrick; Peterseim, Daniel
Published in: SIAM Journal on Applied Mathematics, Issue 82/1, 2022, Page(s) 330-358, ISSN 0036-1399
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1342434

The J-method for the Gross–Pitaevskii eigenvalue problem

Author(s): Robert Altmann, Patrick Henning, Daniel Peterseim
Published in: Numerische Mathematik, Issue 148/3, 2021, Page(s) 575-610, ISSN 0029-599X
Publisher: Springer Verlag
DOI: 10.1007/s00211-021-01216-5

Energy-adaptive Riemannian optimization on the Stiefel manifold

Author(s): Altmann, Robert; Peterseim, Daniel; Stykel, Tatjana
Published in: ESAIM. Mathematical Modelling and Numerical Analysis, Issue 28227840, 2022, Page(s) 1629 - 1653, ISSN 2822-7840
Publisher: EDP Sciences
DOI: 10.1051/m2an/2022036

The Heterogeneous Multiscale Method for dispersive Maxwell systems

Author(s): Philip Freese
Published in: Multiscale Modeling & Simulation, Issue 20/2, 2022, Page(s) 769-797, ISSN 1540-3459
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1443960

An improved high-order method for elliptic multiscale problems

Author(s): Zhaonan Dong, Moritz Hauck, Roland Maier
Published in: SIAM Journal on Numerical Analysis, Issue 61(4), 2023, Page(s) 1918-1937, ISSN 0036-1429
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.48550/arxiv.2211.02484

Uncertainty quantification in timber-like beams using sparse grids: theory and examples with off-the-shelf software utilization

Author(s): Giuseppe Balduzzi, Francesca Bonizzoni, Lorenzo Tamellini
Published in: Arxiv e-prints, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2211.04735

A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs

Author(s): Moataz M. Alghamdi, Daniele Boffi, Francesca Bonizzoni
Published in: Arxiv e-prints, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2208.14054

Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems

Author(s): Philip Freese, Moritz Hauck, Daniel Peterseim
Published in: Arxiv e-prints, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2112.11368

A Super-Localized Generalized Finite Element Method

Author(s): Philip Freese, Moritz Hauck, Tim Keil, Daniel Peterseim
Published in: Arxiv e-prints, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2211.09461

Discrete tensor product BGG sequences: splines and finite elements

Author(s): Francesca Bonizzoni, Kaibo Hu, Guido Kanschat, Duygu Sap
Published in: Arxiv e-prints, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2302.02434

Super-localized orthogonal decomposition for convection-dominated diffusion problems

Author(s): Francesca Bonizzoni, Philip Freese, Daniel Peterseim
Published in: Arxiv e-prints, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2206.01975

Riemannian Newton methods for energy minimization problems of Kohn-Sham type

Author(s): R. Altmann, D. Peterseim, T. Stykel
Published in: Arxiv e-prints, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2307.13820

Super-localization of spatial network models

Author(s): Moritz Hauck, Axel Målqvist
Published in: Arxiv e-prints, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2210.07860

A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems

Author(s): Francesca Bonizzoni, Moritz Hauck, Daniel Peterseim
Published in: Arxiv e-prints, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2211.15221

A Tensor-Product Finite Element Cochain Complex with Arbitrary Continuity

Author(s): Bonizzoni, Francesca; Kanschat, Guido
Published in: The 8th European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS Congress 2022, 2022, Page(s) 12, ISBN 9788412322286
Publisher: Eccomas
DOI: 10.23967/eccomas.2022.134

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