Computational Random Multiscale Problems

Computational multiscale methods for nondivergence-form elliptic partial differential equations

Autores: Philip Freese, Dietmar Gallistl, Daniel Peterseim, Timo Sprekeler
Publicado en: Computational Methods in Applied Mathematics, 2022, ISSN 1609-4840
Editor: Walter de Gruyter and Co.
DOI: 10.48550/arxiv.2211.13731

Multi-resolution Localized Orthogonal Decomposition for Helmholtz problems

Autores: Moritz Hauck, Daniel Peterseim
Publicado en: Multiscale Modeling & Simulation, Edición 15403459, 2022, Página(s) 657-684, ISSN 1540-3459
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1414607

Super-localization of elliptic multiscale problems

Autores: Moritz Hauck, Daniel Peterseim
Publicado en: Mathematics of Computation, 2022, ISSN 0025-5718
Editor: American Mathematical Society
DOI: 10.1090/mcom/3798

A Priori Error Analysis of a Numerical Stochastic Homogenization Method

Autores: Julian Fischer, Dietmar Gallistl, Daniel Peterseim
Publicado en: SIAM Journal on Numerical Analysis, Edición 59/2, 2021, Página(s) 660-674, ISSN 0036-1429
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1308992

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

Autores: Giuseppe Balduzzi, Francesca Bonizzoni, Lorenzo Tamellini
Publicado en: Construction and Building Materials, Edición 406, 2023, ISSN 0950-0618
Editor: Elsevier BV
DOI: 10.1016/j.conbuildmat.2023.132730

Operator Compression with Deep Neural Networks

Autores: Kröpfl, Fabian; Maier, Roland; Peterseim, Daniel
Publicado en: Advances in Continuous and Discrete Models, Edición 2022, 2022, ISSN 2731-4235
Editor: Springer
DOI: 10.1186/s13662-022-03702-y

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

Autores: Francesca Bonizzoni, Davide Pradovera, Michele Ruggeri
Publicado en: Mathematics in Engineering, Edición 5/4, 2023, Página(s) 1-38, ISSN 2640-3501
Editor: AIMS Press
DOI: 10.3934/mine.2023074

Numerical homogenization beyond scale separation

Autores: Robert Altmann, Patrick Henning, Daniel Peterseim
Publicado en: Acta Numerica, Edición 30, 2021, Página(s) 1-86, ISSN 0962-4929
Editor: Cambridge University Press
DOI: 10.1017/s0962492921000015

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

Autores: Altmann, Robert; Henning, Patrick; Peterseim, Daniel
Publicado en: SIAM Journal on Applied Mathematics, Edición 82/1, 2022, Página(s) 330-358, ISSN 0036-1399
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1342434

The J-method for the Gross–Pitaevskii eigenvalue problem

Autores: Robert Altmann, Patrick Henning, Daniel Peterseim
Publicado en: Numerische Mathematik, Edición 148/3, 2021, Página(s) 575-610, ISSN 0029-599X
Editor: Springer Verlag
DOI: 10.1007/s00211-021-01216-5

A Super-Localized Generalized Finite Element Method

Autores: Philip Freese, Moritz Hauck, Tim Keil, Daniel Peterseim
Publicado en: Numerische Mathematik, Edición 156, 2024, ISSN 0945-3245
Editor: Springer
DOI: 10.1007/s00211-023-01386-4

Energy-adaptive Riemannian optimization on the Stiefel manifold

Autores: Altmann, Robert; Peterseim, Daniel; Stykel, Tatjana
Publicado en: ESAIM. Mathematical Modelling and Numerical Analysis, Edición 28227840, 2022, Página(s) 1629 - 1653, ISSN 2822-7840
Editor: EDP Sciences
DOI: 10.1051/m2an/2022036

Super-localization of spatial network models

Autores: Moritz Hauck, Axel Målqvist
Publicado en: Numerische Mathematik, Edición 156, 2024, ISSN 0945-3245
Editor: Springer
DOI: 10.1007/s00211-024-01410-1

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

Autores: Francesca Bonizzoni, Moritz Hauck, Daniel Peterseim
Publicado en: Journal of Computational Physics, Edición 499, 2024, ISSN 0021-9991
Editor: Academic Press
DOI: 10.1016/j.jcp.2023.112698

The Heterogeneous Multiscale Method for dispersive Maxwell systems

Autores: Philip Freese
Publicado en: Multiscale Modeling & Simulation, Edición 20/2, 2022, Página(s) 769-797, ISSN 1540-3459
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1443960

An improved high-order method for elliptic multiscale problems

Autores: Zhaonan Dong, Moritz Hauck, Roland Maier
Publicado en: SIAM Journal on Numerical Analysis, Edición 61(4), 2023, Página(s) 1918-1937, ISSN 0036-1429
Editor: Society for Industrial and Applied Mathematics
DOI: 10.48550/arxiv.2211.02484

A Tensor-Product Finite Element Cochain Complex with Arbitrary Continuity

Autores: Bonizzoni, Francesca; Kanschat, Guido
Publicado en: The 8th European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS Congress 2022, 2022, Página(s) 12, ISBN 9788412322286
Editor: Eccomas
DOI: 10.23967/eccomas.2022.134

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

Autores: Moataz M. Alghamdi, Daniele Boffi, Francesca Bonizzoni
Publicado en: Arxiv e-prints, 2022
Editor: arXiv
DOI: 10.48550/arxiv.2208.14054

Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems

Autores: Philip Freese, Moritz Hauck, Daniel Peterseim
Publicado en: Arxiv e-prints, 2021
Editor: arXiv
DOI: 10.48550/arxiv.2112.11368

Discrete tensor product BGG sequences: splines and finite elements

Autores: Francesca Bonizzoni, Kaibo Hu, Guido Kanschat, Duygu Sap
Publicado en: Arxiv e-prints, 2023
Editor: arXiv
DOI: 10.48550/arxiv.2302.02434

Super-localized orthogonal decomposition for convection-dominated diffusion problems

Autores: Francesca Bonizzoni, Philip Freese, Daniel Peterseim
Publicado en: Arxiv e-prints, 2022
Editor: arXiv
DOI: 10.48550/arxiv.2206.01975

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

Autores: R. Altmann, D. Peterseim, T. Stykel
Publicado en: Arxiv e-prints, 2023
Editor: arXiv
DOI: 10.48550/arxiv.2307.13820

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