منابع مشابه
A New Mixed Formulation for Elasticity
In this paper we present a new mixed variational formulation for the problem of linear elastostatics. Our formulation is very similar to the classical HellingerReissner formulation, but appears superior for finite element discretization. To make plain the relation between the Hellinger-Reissner formulation and the present one, we consider first an elastic body occupying a region g? in Euclidean...
متن کاملOverlapping Schwarz preconditioner for the mixed formulation of plane elasticity
Recently a stable pair of finite element spaces for the mixed formulation of the plane elasticity system has been developed by Arnold and Winther. Here we construct a two-level overlapping Schwarz preconditioner for the resulting discrete system. Essentially, this reduces to finding an efficient preconditioner for the form (·, ·) + (div ·,div ·) in the symmetric tensor space H(div ,Ω). The main...
متن کاملPreconditioning for the mixed formulation of linear plane elasticity
algorithm: variable V-cycle Let mk be the number of smoothings and assume that β0mk ≤ mk−1 ≤ β1mk , where 1 < β0 ≤ β1. Algorithm Let B1 = Λ −1 1 . Assuming Bk−1 : Σk−1 → Σk−1 be defined, define Bk : Σk → Σk as follows. Let g ∈ Σk and τ 0 = 0. (1) τ l = τ l−1 + Rk(g −Λkτ ) for l = 1, · · · , mk; (2) σk = τk + IkBk−1I t k(g −Λkτ k); (3) σ = σ + Rk(g −Λkσ ) for l = mk + 1, · · · , 2mk ; Set Bkg = ...
متن کاملMixed finite elements for elasticity in the stress-displacement formulation
We present a family of pairs of finite element spaces for the unaltered Hellinger–Reissner variational principle using polynomial shape functions on a single triangular mesh for stress and displacement. There is a member of the family for each polynomial degree, beginning with degree two for the stress and degree one for the displacement, and each is stable and affords optimal order approximati...
متن کاملA New Recursive Formulation for the Mixed Redundancy Strategy in Reliability Optimization Problems
One of the common approaches for improving the reliability of a specific system is to use parallel redundant components in subsystems. This approach, which is known as the redundancy allocation problem (RAP), includes the simultaneous selection of the component type and its level for each subsystem in order to maximize the system reliability.Traditionally, there are two redundancy strategies, n...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 1988
ISSN: 0029-599X,0945-3245
DOI: 10.1007/bf01395876