Approximation Bounds for Model Reduction on Polynomially Mapped Manifolds

Approximation Bounds for Model Reduction on Polynomially Mapped Manifolds

For projection-based linear-subspace model order reduction (MOR), it is well known that the Kolmogorov $n$-width describes the best-possible error for a reduced order model (ROM) of size $n$. In this paper, we provide approximation bounds for ROMs on polynomially mapped manifolds. In particular, we...

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Bibliographic Details
Main Authors: Buchfink, Patrick, Glas, Silke, Haasdonk, Bernard
Format: Article
Language:English
Published: Académie des sciences 2024-12-01
Series:Comptes Rendus. Mathématique
Subjects:
Model Order Reduction
nonlinear manifolds
polynomial mappings
polynomial $(n,p)$-widths
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.632/
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https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.632/

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