Detail publikace

ON PHYSICALLY CONSTRAINED NON-INTRUSIVE POLYNOMIAL CHAOS EXPANSION

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"
}