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NOVÁK, L. SHARMA, H. SHIELDS, M.
Original Title
ON PHYSICALLY CONSTRAINED NON-INTRUSIVE POLYNOMIAL CHAOS EXPANSION
Type
conference paper
Language
English
Original Abstract
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.
Keywords
Adaptive Sampling; Polynomial Chaos Expansion; Sequential Sampling
Authors
NOVÁK, L.; SHARMA, H.; SHIELDS, M.
Released
12. 6. 2023
Publisher
National Technical University of Athens
Location
Athens, Greece
ISBN
9786185827021
Book
UNCECOMP 2023 Proceedings
Pages from
151
Pages to
157
Pages count
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" }