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<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

Published Online: Oct 22, 2022

Page range: 57 - 69

Received: Jul 30, 2022

Accepted: Sep 30, 2022

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

Keywords
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

Published Online: Oct 22, 2022

Page range: 57 - 69

Received: Jul 30, 2022

Accepted: Sep 30, 2022

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

KeywordsVirtual 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.

Keywords
Virtual element methods, elasticity problems, hybridization procedure