Naslov
Convergence and accuracy of numerical solution using dynamic eigenproblem

Autori
Nikolić, Željana ; Mihanović, Ante ; Marović, Pavao

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
CD-ROM Proceedings of the VIII International Conference on Numerical Methods in Continuum Mechanics / Kompiš, Vladimir ; Žmindak, Milan ; Maunder, Edward A.W. - Žilina : University of Žilina, 2000

Skup
VIII International Conference on Numerical Methods in Continuum Mechanics

Mjesto i datum
Liptovský Ján, Slovačka, 19.09.2000. - 24.09.2000

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
convergence; accuracy; error estimation; boundary problems; dynamic eigenproblem

Sažetak
This paper describes a general procedure for proving the convergence and for the estimation of the numerical solution error of boundary problems based on the transformation of the discrete boundary problem into an equivalent discrete dynamic problem. The convergence and accuracy of numerical solutions depend on the convergence of dynamic eigenproblem spectrum. The convergence obtained in this way is valid irrespective of the applied load. The developed procedure is relatively simple, easy to perform and guarantees the upper bounds of the error for a given discretization. The performance of the proposed method is illustrated by the solution procedure of three examples: simply supported square thin plate, cantilever square thin plate and reinforced concrete cantilever.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo

POVEZANOST RADA