<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This note aims at illustrating the application of the Virtual Element Method to elasticity problems in mixed form, following the Hellinger-Reissner variational principle. In order to highlight the potential and the flexibility of our approach, we focus on a three-dimensional low-order Virtual Element scheme, but similar considerations apply to two-dimensional and higher-order methods.</p>
</abstract>

This note aims at illustrating the application of the Virtual Element Method to elasticity problems in mixed form, following the Hellinger-Reissner variational principle. In order to highlight the potential and the flexibility of our approach, we focus on a three-dimensional low-order Virtual Element scheme, but similar considerations apply to two-dimensional and higher-order methods.

Virtual Element Methods for three-dimensional Hellinger-Reissner elastostatic problems

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution 4.0 International License.

This note aims at illustrating the application of the Virtual Element Method to elasticity problems in mixed form, following the Hellinger-Reissner variational...

Virtual Element Methods for three-dimensional Hellinger-Reissner elastostatic problems

Online veröffentlicht: 22. Okt. 2022

Seitenbereich: 57 - 69

Eingereicht: 30. Juli 2022

Akzeptiert: 30. Sept. 2022

DOI: https://doi.org/10.2478/caim-2022-0005

Schlüsselwörter
Virtual element methods, elasticity problems, hybridization procedure

© 2022 Carlo Lovadina et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Virtual Element Methods for three-dimensional Hellinger-Reissner elastostatic problems

Online veröffentlicht: 22. Okt. 2022

Seitenbereich: 57 - 69

Eingereicht: 30. Juli 2022

Akzeptiert: 30. Sept. 2022

DOI: https://doi.org/10.2478/caim-2022-0005

SchlüsselwörterVirtual element methods, elasticity problems, hybridization procedure

© 2022 Carlo Lovadina et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Schlüsselwörter
Virtual element methods, elasticity problems, hybridization procedure