Original title: Direct construction of reciprocal mass matrix and higher order fininite element method
Authors: Cimrman, Robert ; Kolman, Radek ; González, J. A. ; Park, K. C.
Document type: Papers
Conference/Event: SEMINAR ON NUMERICAL ANALYSIS - SNA /23./, Ostrava (CZ), 20230123
Year: 2023
Language: eng
Abstract: When solving dynamical problems of computational mechanics, such as contact-impact problems or cases involving complex structures under fast loading conditions, explicit time-stepping algorithms are usually preferred over implicit ones. The explicit schemes are normally combined with the lumped (diagonal) mass matrix so that the calculations are efficient and moreover dispersion errors in wave propagation are partially eliminated. As an alternative to lumping with advantageous properties, the reciprocal mass matrix is an inverse mass matrix that has the same sparsity structure as the original consistent mass matrix, preserves the total mass, captures well the desired frequency spectrum and leads thus to efficient and accurate calculations. In the contribution we comment on the usability of the reciprocal mass matrix in connection with higher order FEM.
Keywords: explicit time integration; higher-order finite element method; lumping process; reciprocal mass matrix; transient problems
Project no.: GA23-06220S (CEP)
Funding provider: GA ČR
Host item entry: Seminar on Numerical Analysis & Winter School. Proceedings of the conference SNA'23, ISBN 978-80-86407-85-2

Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: https://www.ugn.cas.cz/event/2023/sna/files/sna23-sbornik.pdf
Original record: https://hdl.handle.net/11104/0342432

Permalink: http://www.nusl.cz/ntk/nusl-521956


The record appears in these collections:
Research > Institutes ASCR > Institute of Thermomechanics
Conference materials > Papers