https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:44927 Tue 25 Oct 2022 10:01:45 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:33191 Tue 11 Sep 2018 15:38:04 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:37156 p-Laplace differential operator for p∈(1,∞), where the obstacle condition is imposed by using a Lagrange multiplier. In the discrete setting the Lagrange multiplier basis forms a biorthogonal system with the standard finite element basis so that the variational inequality can be realized in the point-wise form. We provide a general a posteriori error estimate for adaptivity and prove an a priori error estimate. We present numerical results for the adaptive scheme (mesh-size adaptivity with and without polynomial degree adaptation) for the singular case p=1.5 and the degenerated case p=3. We also present numerical results on the mesh independency and on the polynomial degree scaling of the discrete inf-sup constant when using biorthogonal basis functions for the dual variable defined on the same mesh with the same polynomial degree distribution.]]> Thu 20 Oct 2022 12:42:22 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12946 Sat 24 Mar 2018 08:18:18 AEDT ]]>