A Multigrid Preconditioner for the Mixed Formulation of Linear Plane Elasticity

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Multigrid Preconditioner for the Mixed Formulation of Linear Plane Elasticity

In this paper, we develop a multigrid preconditioner for the discrete system of linear equations which results from the mixed formulation of the linear plane elasticity problem using the Arnold-Winther elements. This, in turn, can be reduced to the problem of finding a multigrid preconditioner for the form (·, ·)+(div ·,div ·) in the symmetric tensor space resulting from Arnold-Winther elements...

متن کامل

Overlapping 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 کامل

Preconditioning 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 کامل

Multigrid Methods for the Pure Traction Problem of Linear Elasticity: Mixed Formulation

A multigrid method using conforming P -1 finite elements is developed for the twodimensional pure traction boundary value problem of linear elasticity. The convergence is uniform even as the material becomes nearly incompressible. A heuristic argument for acceleration of the multigrid method is discussed as well. Numerical results with and without this acceleration as well as performance estima...

متن کامل

Parallel adaptive multigrid methods in plane linear elasticity problems

In this paper we discuss the implementation of parallel multigrid methods on unstructured locally refined meshes for 2D linear elasticity calculations. The problem of rebalancing the workload of the processors during execution of the program is discussed in detail and a load balancing algorithm suited for hierarchical meshes is proposed. For large problems the efficiency per multigrid iteration...

متن کامل

ذخیره 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: SIAM Journal on Numerical Analysis

سال: 2006

ISSN: 0036-1429,1095-7170

DOI: 10.1137/040617820