We consider the numerical solution of a variational inequality arising in the study of an
incompressible Stokes flow with a nonlinear slip boundary condition of frictional type. We …

This article presents a computationally efficient and straightforward to implement a posteriori
error estimator for second‐order G/XFEM and FEM approximations. The formulation is …

Mixed and Stabilized Finite Element Methods for the Obstacle Problem Page 1 Copyright © by
SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. NUMER. ANAL. c 2017 …

This paper investigates a symmetric dual-wind discontinuous Galerkin (DG) method for
solving parabolic variational inequalities. By employing a symmetric dual-wind DG …

We present a posteriori error analysis in the supremum norm for the symmetric interior
penalty discontinuous Galerkin method for the elliptic obstacle problem. We construct …

In this article, we study a posteriori error analysis of quadratic finite element method in the
maximum norm for the elliptic obstacle problem. We discuss the reliability and the efficiency …

We perform a posteriori error analysis in the supremum norm for the quadratic discontinuous
Galerkin method for the elliptic obstacle problem. We define two discrete sets (motivated by …

In this article, we develop a posteriori error analysis of a non-conforming finite element
method in the supremum norm for the elliptic obstacle problem. In the analysis, the proper …

The main aim of this article is to present two new ways to solve the elliptic obstacle problem
by using discontinuous Galerkin finite element methods. In Gaddam and Gudi (Comput …

We develop an a posteriori analysis of C^0 interior penalty methods for the displacement
obstacle problem of clamped Kirchhoff plates. We show that a residual based error estimator …