In this paper we discuss mixed finite element methods for nearly incompressible elasticity. We show that if a method uses the hydrostatic pressure as unknown, then the finite element spaces have to satisfy the condition of the ellipticity on the kernel, in addition to the well-known Babuska-Brezzi condition. Some known elements are proved to satisfy this condition.
A remark on finite element schemes for nearly incompressible elasticity
D Boffi;
2017
Abstract
In this paper we discuss mixed finite element methods for nearly incompressible elasticity. We show that if a method uses the hydrostatic pressure as unknown, then the finite element spaces have to satisfy the condition of the ellipticity on the kernel, in addition to the well-known Babuska-Brezzi condition. Some known elements are proved to satisfy this condition.File in questo prodotto:
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