Journal article

Stable lifting of polynomial traces on triangles

Abstract:: We construct a right inverse of the trace operator u 7→ (u|∂T , ∂nu|∂T ) on the reference triangle T that maps suitable piecewise polynomial data on ∂T into polynomials of the same degree and is bounded in all Ws,q (T) norms with 1 < q < ∞ and s ≥ 2. The analysis relies on new stability estimates for three classes of single edge operators. We then generalize the construction for mth-order normal derivatives, m ∈ N0.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Parker, C., & Suli, E. (2024). Stable lifting of polynomial traces on triangles. SIAM Journal on Numerical Analysis, 62(2), 692–717.

MLA Style

Parker, C., and E. Suli. “Stable Lifting of Polynomial Traces on Triangles.” SIAM Journal on Numerical Analysis, vol. 62, no. 2, Society for Industrial and Applied Mathematics, 2024, pp. 692–717.

Chicago Style

Parker, C, and E Suli. 2024. “Stable Lifting of Polynomial Traces on Triangles.” SIAM Journal on Numerical Analysis 62 (2): 692–717.
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Publisher copy:: 10.1137/23M1564948

Authors

+ Parker, C More by this author

Role:: Author

+ Suli, E More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Publisher:: Society for Industrial and Applied Mathematics
Journal:: SIAM Journal on Numerical Analysis More from this journal
Volume:: 62
Issue:: 2
Pages:: 692 - 717
Publication date:: 2024-03-04
Acceptance date:: 2023-11-13
DOI:: 10.1137/23M1564948
EISSN:: 1095-7170
ISSN:: 0036-1429

Language:: English
Keywords:: FFR
Pubs id:: 1569548
Local pid:: pubs:1569548
Deposit date:: 2024-02-26

Terms of use

Copyright holder:: Society for Industrial and Applied Mathematics
Copyright date:: 2023
Rights statement:: © 2024 Society for Industrial and Applied Mathematics.

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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