Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.03010 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908750155087872 |
|---|---|
| author | Iollo, Angelo Labatut, Jon Mounoud, Pierre Taddei, Tommaso |
| author_facet | Iollo, Angelo Labatut, Jon Mounoud, Pierre Taddei, Tommaso |
| contents | Registration methods in bounded domains have received significant attention in the model reduction literature, as a valuable tool for nonlinear approximation. The aim of this work is to provide a concise yet complete overview of relevant results for registration methods in $n$-dimensional domains, from the perspective of parametric model reduction. We present a thorough analysis of two classes of methods, vector flows and compositional maps: we discuss the enforcement of the bijectivity constraint and we comment on the approximation properties of the two methods, for Lipschitz $n$-dimensional domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03010 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mathematical aspects of registration methods in bounded domains Iollo, Angelo Labatut, Jon Mounoud, Pierre Taddei, Tommaso Numerical Analysis 54C05, 58C15, 41A46, 90C26 Registration methods in bounded domains have received significant attention in the model reduction literature, as a valuable tool for nonlinear approximation. The aim of this work is to provide a concise yet complete overview of relevant results for registration methods in $n$-dimensional domains, from the perspective of parametric model reduction. We present a thorough analysis of two classes of methods, vector flows and compositional maps: we discuss the enforcement of the bijectivity constraint and we comment on the approximation properties of the two methods, for Lipschitz $n$-dimensional domains. |
| title | Mathematical aspects of registration methods in bounded domains |
| topic | Numerical Analysis 54C05, 58C15, 41A46, 90C26 |
| url | https://arxiv.org/abs/2601.03010 |