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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 finite 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.
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However, the results also indicate that this is not generally the case.
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== Full Paper ==
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<pdf>Media:Draft_Sanchez Pinedo_931365305pap_2542.pdf</pdf>

Latest revision as of 13:46, 19 December 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 finite 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.

Full Paper

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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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