Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/89653
| Title: | Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems | Authors: | Gong, W Li, B |
Issue Date: | Oct-2020 | Source: | IMA journal of numerical analysis, Oct. 2020, v. 40, no. 4, p. 2898-2939 | Abstract: | The parabolic Dirichlet boundary control problem and its finite element discretization are considered in convex polygonal and polyhedral domains. We improve the existing results on the regularity of the solutions by establishing and utilizing the maximal Lp-regularity of parabolic equations under inhomogeneous Dirichlet boundary conditions. Based on the proved regularity of the solutions, we prove O(h1−1/q0−ϵ) convergence for the semidiscrete finite element solutions for some q0>2, with q0 depending on the maximal interior angle at the corners and edges of the domain and ϵ being a positive number that can be arbitrarily small. | Keywords: | Dirichlet boundary control Parabolic equation Finite element method Maximal Lp-regularity |
Publisher: | Oxford University Press | Journal: | IMA journal of numerical analysis | ISSN: | 0272-4979 | EISSN: | 1464-3642 | DOI: | 10.1093/imanum/drz029 | Rights: | © The Author(s) 2019. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. This is a pre-copyedited, author-produced PDF of an article accepted for publication in IMA Journal of Numerical Analysis following peer review. The version of record Wei Gong, Buyang Li, Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems, IMA Journal of Numerical Analysis, Volume 40, Issue 4, October 2020, Pages 2898–2939 is available online at: https://doi.org/10.1093/imanum/drz029 |
| Appears in Collections: | Journal/Magazine Article |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Gong-Li-23.pdf | Pre-Published version | 357.95 kB | Adobe PDF | View/Open |
Access
View full-text via PolyU eLinks 
Page views
11
Last Week
1
1
Last month
Citations as of Jun 4, 2023
Downloads
12
Citations as of Jun 4, 2023
SCOPUSTM
Citations
9
Citations as of Jun 2, 2023
WEB OF SCIENCETM
Citations
9
Citations as of Jun 1, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.