Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10915-023-02160-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7586 |
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oai:localhost:PNK-75862023-04-05T08:11:43Z Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation Birgul, Koc Tomás Chacón, Rebollo Samuele, Rubino POD ROM CC BY In this paper, we prove uniform error bounds for proper orthogonal decomposition (POD) reduced order modeling (ROM) of Burgers equation, considering difference quotients (DQs), introduced in Kunisch and Volkwein (Numer Math 90(1):117–148, 2001). In particular, we study the behavior of the DQ ROM error bounds by considering L2(Ω) and H10(Ω) POD spaces and l∞(L2) and natural-norm errors. We present some meaningful numerical tests checking the behavior of error bounds. 2023-04-05T08:11:43Z 2023-04-05T08:11:43Z 2023 Book https://link.springer.com/article/10.1007/s10915-023-02160-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7586 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
POD ROM |
| spellingShingle |
POD ROM Birgul, Koc Tomás Chacón, Rebollo Samuele, Rubino Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation |
| description |
CC BY |
| format |
Book |
| author |
Birgul, Koc Tomás Chacón, Rebollo Samuele, Rubino |
| author_facet |
Birgul, Koc Tomás Chacón, Rebollo Samuele, Rubino |
| author_sort |
Birgul, Koc |
| title |
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation |
| title_short |
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation |
| title_full |
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation |
| title_fullStr |
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation |
| title_full_unstemmed |
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation |
| title_sort |
uniform bounds with difference quotients for proper orthogonal decomposition reduced order models of the burgers equation |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s10915-023-02160-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7586 |
| _version_ |
1762365504527269888 |
| score |
8.891695 |