7 papers
Vectorized implementation of primal hybrid FEM in MATLAB
Harish Nagula Mallesham, Kamana Porwal, Jan Valdman +1
We present efficient MATLAB implementations of the lowest-order primal hybrid finite element method (FEM) for linear second-order elliptic and parabolic problems with mixed boundar…
Supremum norm A Posteriori Error control of Quadratic Finite Element Method for the Signorini problem
Rohit Khandelwal, Kamana Porwal, Tanvi Wadhawan
In this paper, we develop a new residual-based pointwise a posteriori error estimator of the quadratic finite element method for the Signorini problem. The supremum norm a posterio…
Pointwise A posteriori error control of quadratic Discontinuous Galerkin Methods for the unilateral contact problem
Rohit Khandelwal, Kamana Porwal, Tanvi Wadhawan
An a posteriori error bound for the pointwise error of the quadratic discontinuous Galerkin method for the unilateral contact problem on polygonal domain is presented. The pointwis…
Non-conforming FEM for the quasi-static contact problem
Kamana Porwal, Tanvi Wadhawan
In this article, we addressed the numerical solution of a non-linear evolutionary variational inequality, which is encountered in the investigation of quasi-static contact problems…
Quadratic Discontinuous Galerkin methods for Unilateral Contact Problem
Kamana Porwal, Tanvi Wadhawan
In this article, we employ discontinuous Galerkin (DG) methods for the finite element approximation of the frictionless unilateral contact problem using quadratic finite elements o…
Mixed finite element method for a second order Dirichlet boundary control problem
Divay Garg, Kamana Porwal
The main aim of this article is to analyze mixed finite element method for the second order Dirichlet boundary control problem. Therein, we develop both a priori and a posteriori e…