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Measuring the Time Discretization Error in Linear Elasticity

Schröder, Bettina
Kuhl, Detlef

The present paper considers the spread of longitudinal waves in an elastic rod. On the one hand an analytical solution is presented, on the other hand a spatially and temporally discretized continuum formulation of this problem is treated. With these approaches at hand the appearing time discretization error is analyzed using various quantities.

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Citation
In: Proceedings in applied mathematics and mechanics (PAMM) Volume 20 / Issue 1 (2021-01-25) , S. ; EISSN 1617-7061
Collections
@article{doi:10.17170/kobra-202101283083,
  author    ={Schröder, Bettina and Kuhl, Detlef},
  title    ={Measuring the Time Discretization Error in Linear Elasticity},
  keywords ={530 and 620 and Diskretisierung and Quantisierungsfehler and Lineare Elastizitätstheorie and Kontinuumsmechanik},
  copyright  ={http://creativecommons.org/licenses/by/4.0/},
  language ={en},
  journal  ={Proceedings in applied mathematics and mechanics (PAMM)},
  year   ={2021-01-25}
}