Approximation Bounds for Model Reduction on Polynomially Mapped Manifolds

• DOI: 10.48550/arxiv.2312.00724
• Publication Date: 2023-01-01
• Authors: Patrick Buchfink; Silke Glas; Bernard Haasdonk
• Keywords: Degree (music)

For projection-based linear-subspace model order reduction (MOR), it is well known that the Kolmogorov n-width describes best-possible error for a reduced (ROM) of size n. In this paper, we provide approximation bounds ROMs on polynomially mapped manifolds. particular, show depend polynomial degree p mapping function as linear underlying problem. This results in (n, p)-width, which lower bound ROM manifolds and