File:A Mathematical Characterization of the Performance of the "Multi-Slice" Projector.pdf
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[edit]DescriptionA Mathematical Characterization of the Performance of the "Multi-Slice" Projector.pdf |
English: We consider an enhanced version of the well-kwown "Petrov-Galerkin" projection in Hilbert spaces. The proposed procedure, dubbed "multi-slice" projector, exploits the fact that the sought solution belongs to the intersection of several high-dimensional slices. This setup is for example of interest in model-order reduction where this type of prior may be computed off-line. In this note, we provide a mathematical characterization of the performance achievable by the multi-slice projector and compare the latter with the results holding in the Petrov-Galerkin setup. In particular, we illustrate the superiority of the multi-slice approach in certain situations. |
Date | |
Source | Content available at arxiv.org ([Dedicated link https://arxiv.org/abs/1805.03910?context=math.NA]) (archive.org link) |
Author | C. Herzet, M. Diallo, P. Héas |
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current | 15:31, 11 November 2018 | 1,275 × 1,650, 14 pages (190 KB) | Acagastya (talk | contribs) | User created page with UploadWizard |
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File change date and time | 00:38, 18 October 2018 |
Date and time of digitizing | 00:38, 18 October 2018 |
Software used | LaTeX with hyperref package |
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Page size | 612 x 792 pts (letter) |
Version of PDF format | 1.4 |
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10 May 2018
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c561b63f7aea27d54bf2d665c83df4d6cfa04fb7
194,656 byte
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