On the spurious oscillations in B-spline finite element method

0366370 - ÚT 2012 RIV FI eng C - Konferenční příspěvek (zahraniční konf.)
Kolman, Radek - Plešek, Jiří - Okrouhlík, Miloslav - Gabriel, Dušan
On the spurious oscillations in B-spline finite element method.
Proceeding of the 24th Nordic Seminar on Computational Mechanics. Helsinki: Aalto University, 2011 - (Freund, J.; Kouhia, R.), s. 47-50. ISBN 978-952-60-4347-0. ISSN 1799-4896.
[Nordic Seminar on Computational Mechanics /24./. Helsinki (FI), 03.10.2011-04.10.2011]
Grant CEP: GA ČR GA101/09/1630; GA ČR GPP101/10/P376; GA ČR(CZ) GA101/07/1471; GA ČR(CZ) GAP101/11/0288
Výzkumný záměr: CEZ:AV0Z20760514
Klíčová slova: elastic wave propagation * B-spline based finite element method * spurious oscillations
Kód oboru RIV: BI - Akustika a kmity

The spatial discretization of elastic continuum by the finite element method (FEM) introduces dispersion errors to numerical solutions of stress wave propagation problems. Moreover, oscillations near the sharp wavefront in FE solution appear. In this work, the B-spline based finite element method is tested in numerical modelling in one-dimensional elastic wave propagation. The special attention is paid to the study of spurious oscillations in wavefront propagation problems with stress discontinuities.
Trvalý link: http://hdl.handle.net/11104/0201402