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==Abstract==
  
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The sensitivity of conventional finite element formulations to distorted meshes
 +
is a well-known problem. In this work, it is investigated whether an 8-node Petrov-Galerkin
 +
f
 +
inite element formulation can reduce this mesh-sensitive behavior when simulating linear-elastic
 +
axisymmetric problems. The numerical investigations show that the Petrov-Galerkin formulation
 +
exhibits significantly better behavior than the Bubnov-Galerkin formulation in certain cases.
 +
However, the results also indicate that this is not generally the case.

Revision as of 11:39, 23 October 2024

Abstract

The sensitivity of conventional finite element formulations to distorted meshes

is a well-known problem. In this work, it is investigated whether an 8-node Petrov-Galerkin
f
inite element formulation can reduce this mesh-sensitive behavior when simulating linear-elastic
axisymmetric problems. The numerical investigations show that the Petrov-Galerkin formulation
exhibits significantly better behavior than the Bubnov-Galerkin formulation in certain cases.
However, the results also indicate that this is not generally the case.
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Document information

Published on 23/10/24
Submitted on 23/10/24

Volume Advances in Numerical Methods for Solution Of PDEs, 2024
DOI: 10.23967/eccomas.2024.033
Licence: CC BY-NC-SA license

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