scholarly journals Singular solutions of a transmission problem in plane linear elasticity for wedge-shaped regions

1991 ◽  
Vol 59 (1) ◽  
pp. 179-216 ◽  
Author(s):  
Fernando Reitich
Keyword(s):  
Linear Elasticity ◽  
Transmission Problem ◽  
Singular Solutions ◽  
Plane Linear Elasticity

The linear sampling method for the transmission problem in three-dimensional linear elasticity

2002 ◽  
Vol 18 (3) ◽  
pp. 547-558 ◽  
Author(s):  
Antonios Charalambopoulos ◽  
Drossos Gintides ◽  
Kiriakie Kiriaki
Keyword(s):  
Linear Elasticity ◽  
Sampling Method ◽  
Three Dimensional ◽  
Transmission Problem ◽  
Linear Sampling Method ◽  
Linear Sampling

MIXED hp-DISCONTINUOUS GALERKIN FEM FOR LINEAR ELASTICITY AND STOKES FLOW IN THREE DIMENSIONS

2012 ◽  
Vol 22 (08) ◽  
pp. 1250016 ◽  
Author(s):  
THOMAS P. WIHLER ◽  
MARCEL WIRZ
Keyword(s):  
Discontinuous Galerkin ◽  
Linear Elasticity ◽  
Degrees Of Freedom ◽  
Poisson Ratio ◽  
A Priori ◽  
Three Dimensions ◽  
Singular Solutions ◽  
Hexahedral Elements ◽  
Discontinuous Galerkin Fem ◽  
Stability Results

We consider mixed hp-discontinuous Galerkin FEM for linear elasticity in polyhedral domains Ω ⊂ ℝ3. In order to resolve possible corner, edge, and corner–edge singularities, anisotropic axiparallel geometric edge meshes consisting of hexahedral elements are applied. We show inf–sup stability results on both the continuous and the discrete level which are robust with respect to the Poisson ratio as it tends to the incompressible limit of ½. Furthermore, in the subsequent a priori error analysis we derive a quasi-optimality result, including the case of singular solutions. In addition, under certain realistic assumptions (for analytic data) on the regularity of the exact solution, we prove that the proposed DG schemes converge at an exponential rate in terms of the fifth root of the number of degrees of freedom.

An analysis of some mixed-enhanced finite element for plane linear elasticity

2005 ◽  
Vol 194 (27-29) ◽  
pp. 2947-2968 ◽  
Author(s):  
F. Auricchio ◽  
L. Beirão da Veiga ◽  
C. Lovadina ◽  
A. Reali
Keyword(s):  
Finite Element ◽  
Linear Elasticity ◽  
Plane Linear Elasticity
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