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 / C. Lovadina, M. Visinoni. - In: COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS. - ISSN 2038-0909. - 13:1(2022 Jan), pp. 57-69. [10.2478/caim-2022-0005]
Virtual Element Methods for three-dimensional Hellinger-Reissner elastostatic problems
C. Lovadina
Primo
;M. VisinoniUltimo
2022
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.
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