9 papers
-a posteriori error estimates for hybrid high-order methods applied to biharmonic problems
Zhaonan Dong, Alexandre Ern, Tanvi Wadhawan
We derive a residual-based -a posteriori error estimator for hybrid high-order (HHO) methods on simplicial meshes applied to the biharmonic problem posed on two- and three-dime…
A note on the constants in inverse trace inequalities for polynomials orthogonal to lower-order subspaces
Zhaonan Dong, Tanvi Wadhawan
We derive sharp, explicit constants in inverse trace inequalities for polynomial functions belonging to (polynomial space with total degree ) that are orthogon…
Adaptive Modified Weak Galerkin Method for Obstacle Problem
Tanvi Wadhawan
This article introduces a novel residual-based a posteriori error estimators for the Modified Weak Galerkin (MWG) finite element method applied to the obstacle problem. To the best…
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…
Adaptive quadratic finite element method for the unilateral contact problem
Rohit Khandelwal, Kamana Porwal, Tanvi Wadhawan
In this paper, we present and analyze a posteriori error estimates in the energy norm of a quadratic finite element method for the frictionless unilateral contact problem. The reli…
Unified Analysis of Discontinuous Galerkin Methods for Frictional Contact Problem with normal compliance
Kamana Porwal, Tanvi
In this article, a reliable and efficient a posteriori error estimator of residual type is derived for a class of discontinuous Galerkin methods for the frictional contact problem…