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NOVÁK, L. SHARMA, H. SHIELDS, M.
Originální název
ON PHYSICALLY CONSTRAINED NON-INTRUSIVE POLYNOMIAL CHAOS EXPANSION
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
angličtina
Originální abstrakt
Surrogate modeling of costly mathematical models representing physical systems represents a challenging task, since it is typically not possible to create a large experimental design and thus it is beneficial to restrict the approximation by additional information reflecting the physics of the original mathematical model. This paper presents a novel methodology for the construction of polynomial chaos expansion combining experimental design and additional information arising from the physics of an original model – physical constraints. Physical constraints investigated in this paper are represented by boundary conditions and given partial differential equations. A computationally efficient numerical algorithm based on least angle regression and Lagrange multipliers is proposed and compared to standard least angle regression. It is shown that the proposed algorithm leads to superior accuracy of the approximation and does not bring any significant computational burden.
Klíčová slova
Adaptive Sampling; Polynomial Chaos Expansion; Sequential Sampling
Autoři
NOVÁK, L.; SHARMA, H.; SHIELDS, M.
Vydáno
12. 6. 2023
Nakladatel
National Technical University of Athens
Místo
Athens, Greece
ISBN
9786185827021
Kniha
UNCECOMP 2023 Proceedings
Strany od
151
Strany do
157
Strany počet
7
BibTex
@inproceedings{BUT187084, author="NOVÁK, L. and SHARMA, H. and SHIELDS, M.", title="ON PHYSICALLY CONSTRAINED NON-INTRUSIVE POLYNOMIAL CHAOS EXPANSION", booktitle="UNCECOMP 2023 Proceedings", year="2023", pages="151--157", publisher="National Technical University of Athens", address="Athens, Greece", isbn="9786185827021" }