TY - JOUR
T1 - Mixed FEM of Higher Order for Contact Problems with Friction
AU - Schröder , A.
AU - Blum , H.
AU - Rademacher , A.
AU - Kleemann , H.
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 302
EP - 323
PY - 2011
DA - 2011/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/687.html
KW - hp-FEM, mixed method, contact problems, Signorini problem, friction.
AB - <p style="text-align: justify;">This paper presents a mixed variational formulation and its discretization by finite
elements of higher-order for the Signorini problem with Tresca friction. To guarantee the unique
existence of the solution to the discrete mixed problem, a discrete inf-sup condition is proved.
Moreover, a solution scheme based on the dual formulation of the problem is proposed. Numerical
results confirm the theoretical findings.</p>