Results 161 to 170 of about 1,753,791 (268)
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Strain‐space reduced cubature techniques such as the Empirically Corrected Cluster Cubature (E3C) considerably reduce the integration effort incurred in computational homogenisation problems. In this work, we apply E3C in tandem with projection‐based model reduction techniques utilising both linear and quadratic approximation spaces.
Erik Faust, Dong Zhao, Lisa Scheunemann
wiley +1 more source
Partial Observation of Linear Systems With the Mori–Zwanzig Formalism
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The Mori–Zwanzig (MZ) formalism provides a systematic framework for deriving reduced‐order model of dynamical systems when only part of the state is observed, but its practical use is often limited by the complexity of the resulting computations.
Fan Wang, Peter Benner, Jan Heiland
wiley +1 more source
Proper Orthogonal Decomposition and Spectral Analysis of a Wall-Mounted Square Cylinder Wake
Journal of Aerospace Technology and Management, 2018 The flow patterns over a finite square cylinder of aspect ratio of 3 were analyzed experimentally in a subsonic wind tunnel using the time-resolved particle image velocimetry (TR - PIV) techniques.
Henrique Fanini Leite +4 more
doaj
Reducing Parametric Problems With Discontinuities Using Deep Learning
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Model order reduction becomes necessary when dealing with large‐scale engineering problems governed by parametric Partial Differential Equations (PDEs). Conventional projection based reduced basis methods, e.g., based on proper orthogonal decomposition, are not only intrusive in nature but may also demand tailored strategies to efficiently ...
Viral Chheda, Margarita Chasapi
wiley +1 more source
Proper affine deformations of positive representations
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We define, for every positive Anosov representation of a nonabelian free group into SO(2n,2n−1)$\mathrm{SO}(2n,2n-1)$, a family of R4n−1$\mathbb {R}^{4n-1}$‐valued cocycles which induce proper affine actions on R4n−1$\mathbb {R}^{4n-1}$. We construct fundamental domains in R4n−1$\mathbb {R}^{4n-1}$ bounded by generalized crooked planes for ...
Jean‐Philippe Burelle +1 more
wiley +1 more source
Structure identification in pipe flow using proper orthogonal decomposition. [PDF]
Philos Trans A Math Phys Eng Sci, 2017 Hellström LH, Smits AJ.
europepmc +1 more source
A Geometric Multigrid Preconditioner for Discontinuous Galerkin Shifted Boundary Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.ABSTRACT I introduce a geometric multigrid preconditioner for the Shifted Boundary Method (SBM) designed to solve PDEs on complex geometries. While the SBM simplifies mesh generation by using a nonconforming background grid, it often results in nonsymmetric linear systems, a complete analysis of which is missing from the literature, especially with ...
Michał Wichrowski
wiley +1 more source
Use of proper orthogonal decomposition and machine learning for efficient blood flow prediction in cerebral saccular aneurysms. [PDF]
Sci RepRajhi W +7 more
europepmc +1 more source
Merging computational fluid dynamics and 4D Flow MRI using proper orthogonal decomposition and ridge regression. [PDF]
J Biomech, 2017 Bakhshinejad A +5 more
europepmc +1 more source