An HDG method for linear elasticity with strong symmetric stresses
نویسندگان
چکیده
منابع مشابه
A locking-free hp DPG method for linear elasticity with symmetric stresses
We present two new methods for linear elasticity that simultaneously yield stress and displacement approximations of optimal accuracy in both the mesh size h and polynomial degree p. This is achieved within the recently developed discontinuous PetrovGalerkin (DPG) framework. In this framework, both the stress and the displacement approximations are discontinuous across element interfaces. We st...
متن کاملAn Algebraic Multigrid Method for Linear Elasticity
We present an algebraic multigrid (AMG) method for the efficient solution of linear (block-)systems stemming from a discretization of a system of partial differential equations (PDEs). It generalizes the classical AMG approach for scalar problems to systems of PDEs in a natural blockwise fashion. We apply this approach to linear elasticity and show that the block-interpolation, described in thi...
متن کاملAn HDG Method for unsteady compressible flows
The recent gain of interest in Discontinuous Galerkin (DG) methods shows their success in computational fluid dynamics. However, in the case of an implicit discretization, one potential drawback is the high number of globally coupled unknowns. By means of hybridization, this number can be significantly reduced. The hybridized DG (HDG) method has proven to be beneficial especially for steady flo...
متن کاملAn improved infeasible interior-point method for symmetric cone linear complementarity problem
We present an improved version of a full Nesterov-Todd step infeasible interior-point method for linear complementarityproblem over symmetric cone (Bull. Iranian Math. Soc., 40(3), 541-564, (2014)). In the earlier version, each iteration consisted of one so-called feasibility step and a few -at most three - centering steps. Here, each iteration consists of only a feasibility step. Thus, the new...
متن کاملOn the Strong Closure of Strains and Stresses in Linear Elasticity
We consider the following special problem related to the optimal layout problems of materials: Given two elastic materials, C 1 and C 2 the corresponding elasticity tensors, and a force ~ f, nd the strong closure of strains and stresses as the distribution of the materials varies or, alternatively, nd the sets of elasticity tensors which generate these strong closures. In this paper, it is show...
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: Mathematics of Computation
سال: 2017
ISSN: 0025-5718,1088-6842
DOI: 10.1090/mcom/3249