Numerical simulation of random fields using correlated random vector and the Karhunen-Loève expansion

• Autorzy: Poński M. , Pokorska I.

Identyfikatory

DOI

10.24423/cames.237

• Języki publikacji: EN

Abstrakty

EN

The paper presents an approach of one- and two-dimensional random fields simulation methods using correlated random vector and Karhunen-Loève expansion. Comparison of the authors’ analytical solution of the Fredholm integral equation of the second kind with the numerical solution using finite element method and inverse vector iteration technique is presented. Numerical approach and sample realizations of one- and two-dimensional random fields are presented using described techniques as well as generated probability distribution functions for chosen point of analyzed domain.

Słowa kluczowe

EN

eigenproblem; Karhunen-Loève expansion; random field; Lalescu-Picard equation

PL

problem własny; przekształcenie Karhunena-Loeve'a; pole losowe; równanie Lalescu-Picarda

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Methods in Engineering and Science
• Rocznik: 2018
• Tom: Vol. 25, no. 1
• Strony: 47--58
• Opis fizyczny: Bibliogr. 13 poz., rys., wykr.

Twórcy

autor

Poński M.

• Department of Theory of Construction Faculty of Civil Engineering Czestochowa University of Technology Akademicka 3, 42-200 Czestochowa, Poland

autor

Pokorska I.

• Department of Building Physics Faculty of Civil Engineering Czestochowa University of Technology Akademicka 3, 42-200 Czestochowa, Poland

Bibliografia

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