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A family of virtual element methods for plane elasticity problems based on the Hellinger–Reissner principle
- Source :
- Computer methods in applied mechanics and engineering 340 (2018): 978–999. doi:10.1016/j.cma.2018.06.020, info:cnr-pdr/source/autori:E. Artioli, S. de Miranda, C. Lovadina, and L. Patruno/titolo:A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle/doi:10.1016%2Fj.cma.2018.06.020/rivista:Computer methods in applied mechanics and engineering/anno:2018/pagina_da:978/pagina_a:999/intervallo_pagine:978–999/volume:340
- Publication Year :
- 2018
- Publisher :
- Elsevier B.V., 2018.
-
Abstract
- In the framework of 2D elasticity problems, a family of Virtual Element schemes based on the Hellinger–Reissner variational principle is presented. A convergence and stability analysis is rigorously developed. Numerical tests confirming the theoretical predictions are performed.
- Subjects :
- Computational Mechanics
General Physics and Astronomy
010103 numerical & computational mathematics
01 natural sciences
Hellinger-Reissner formulation
Hellinger–Reissner formulation
Variational principle
Computational mechanics
Calculus
FOS: Mathematics
Applied mathematics
Mechanics of Material
Settore ICAR/08
Numerical tests
Mathematics - Numerical Analysis
Virtual element method
0101 mathematics
Elasticity (economics)
Computational Mechanic
Mathematics
Mechanical Engineering
Numerical Analysis (math.NA)
Computer Science Applications
010101 applied mathematics
Plane elasticity problem
Mechanics of Materials
Stability and convergence analysi
Stability and convergence analysis
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Computer methods in applied mechanics and engineering 340 (2018): 978–999. doi:10.1016/j.cma.2018.06.020, info:cnr-pdr/source/autori:E. Artioli, S. de Miranda, C. Lovadina, and L. Patruno/titolo:A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle/doi:10.1016%2Fj.cma.2018.06.020/rivista:Computer methods in applied mechanics and engineering/anno:2018/pagina_da:978/pagina_a:999/intervallo_pagine:978–999/volume:340
- Accession number :
- edsair.doi.dedup.....1d9209d8d9ec9fe2e50d803cfed7a4c1
- Full Text :
- https://doi.org/10.1016/j.cma.2018.06.020