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+ | ==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. |
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.
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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