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Inexact Solvers for Saddle-point System Arising from Domain Decomposition of Linear Elasticity Problems in Three Dimensions
Domain decompostion geometrically non-conforming Lagrange multiplier saddle-point system preconditioners conditionnumber
2012/8/8
In this paper, a domain decomposition method with lagrange mul-
tipliers based on geometrically non-conforming subdomain partitions
for three dimensional linear elasticity is considered. Because of ...
Variable Order Mixed H-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry. Ii. Affine and Curvilinear Elements in 2D
Variable Mixed H-Finite Element Method
2010/11/9
We continue our study on variable order Arnold-Falk-Winther elements for 2D elasticity in context of both affine and parametric curvilinear elements. We present an $h$-stability result for affine ele...
Taking $h_m$ as the mesh width of a curved edge $\Gamma _m$ $(m=1,...,d$ )
of polygons and using quadrature rules for weakly singular integrals, this
paper presents mechanical quadrature methods for...
QUADRILATERAL FINITE ELEMENTS FOR PLANAR LINEAR ELASTICITY PROBLEM WITH LARGE LAM$\{'E}$ CONSTANT
Planar linear elasticity optimal error estimates large Lam\'{e} constant locking phenomenon
2007/12/12
In this paper, we discuss the quadrilateral finite element approximation
to the two-dimensional linear elasticity problem associated with a
homogeneous isotropic elastic material. The optimal conver...