Discontinuous Galerkin FEM Formulation for Linear Thermo-Elasto-Dynamic Problems

2008 ◽  
Author(s):  
Francesco Costanzo
Keyword(s):  
Discontinuous Galerkin ◽  
Dynamic Problems ◽  
Discontinuous Galerkin Fem

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.

scholarly journals Flexible simulation of deformable models using discontinuous Galerkin FEM

2009 ◽  
Vol 71 (4) ◽  
pp. 153-167 ◽  
Author(s):  
Peter Kaufmann ◽  
Sebastian Martin ◽  
Mario Botsch ◽  
Markus Gross
Keyword(s):  
Discontinuous Galerkin ◽  
Deformable Models ◽  
Discontinuous Galerkin Fem
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