In addition to DG, the ES method is another nonconforming method that suffers from numerical instabilities for nonlinear elasticity problems. This thesis examines the striking similarities between DG and ES for nonlinear elasticity problems. Due to the similarities, a stabilization technique is presented which uses the insight gained from DG and current stabilization techniques for ES. The analysis of the adaptive stabilization method for ES parallels that of the one presented for DG. (Abstract shortened by UMI.)The left-hand side of the above inequality is equal to V g1 : A : g1 + - g2 : A : g2 + 2 g1 : A : g2 V where we made use of the major symmetries of A. Inserting this into (3.20) we obtain 2 g1 : A : g2 agt; - r? g1 : A : g1 - - g2 : A : g2 V -A^g1 :g1 +anbsp;...
|Title||:||Discontinuous Galerkin Methods for Approximating the Solutions to Problems in Nonlinear Elasticity|
|Publisher||:||ProQuest - 2008|