On some composite schemes of time integration in structural dynamics

Vala, Jiří

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 159-168

Abstract

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Numerical simulations of time-dependent behaviour of advances structures need the analysis of systems of partial differential equations of hyperbolic type, whose semi-discretization, using the Fourier multiplicative decomposition together with the finite element or similar techniques, leads to large sparse systems of ordinary differential equations. Effective and robust methods for numerical evaluation of their solutions in particular time steps are required; thus still new computational schemes occur in the engineering literature. This paper presents certain classification of such approaches, together with references to their expectable accuracy and some practical applications.

How to cite

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Vala, Jiří. "On some composite schemes of time integration in structural dynamics." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2019. 159-168. <http://eudml.org/doc/294950>.

@inProceedings{Vala2019,
abstract = {Numerical simulations of time-dependent behaviour of advances structures need the analysis of systems of partial differential equations of hyperbolic type, whose semi-discretization, using the Fourier multiplicative decomposition together with the finite element or similar techniques, leads to large sparse systems of ordinary differential equations. Effective and robust methods for numerical evaluation of their solutions in particular time steps are required; thus still new computational schemes occur in the engineering literature. This paper presents certain classification of such approaches, together with references to their expectable accuracy and some practical applications.},
author = {Vala, Jiří},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {structural dynamics; time-integration schemes},
location = {Prague},
pages = {159-168},
publisher = {Institute of Mathematics CAS},
title = {On some composite schemes of time integration in structural dynamics},
url = {http://eudml.org/doc/294950},
year = {2019},
}

TY - CLSWK
AU - Vala, Jiří
TI - On some composite schemes of time integration in structural dynamics
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2019
CY - Prague
PB - Institute of Mathematics CAS
SP - 159
EP - 168
AB - Numerical simulations of time-dependent behaviour of advances structures need the analysis of systems of partial differential equations of hyperbolic type, whose semi-discretization, using the Fourier multiplicative decomposition together with the finite element or similar techniques, leads to large sparse systems of ordinary differential equations. Effective and robust methods for numerical evaluation of their solutions in particular time steps are required; thus still new computational schemes occur in the engineering literature. This paper presents certain classification of such approaches, together with references to their expectable accuracy and some practical applications.
KW - structural dynamics; time-integration schemes
UR - http://eudml.org/doc/294950
ER -

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