On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition
نویسندگان
چکیده
In this paper, we resolve several long-standing issues dealing with optimal pointwise in time error bounds for proper orthogonal decomposition (POD) reduced order modeling of the heat equation. particular, study role played by difference quotients (DQs) obtaining model (ROM) that are respect to both discretization and ROM error. When DQs not used, prove POD projection suboptimal. optimal. The numerical results equation support theoretical results.
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1School of Science, Beijing Jiaotong University, Beijing 100044, People’s Republic of China 2Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, People’s Republic of China 3School of Mathematics and Physics, North China Electric Power University, Beijing 102206, People’s Republic of China 4Department of Scientific Computing, Florida State University, Dirac Sci. Lib. B...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2021
ISSN: ['0036-1429', '1095-7170']
DOI: https://doi.org/10.1137/20m1371798