9 papers · 1 filter
-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…