Gaddam, Sharat ; Gudi, Thirupathi (2017) Bubbles Enriched Quadratic Finite Element Method for the 3D-Elliptic Obstacle Problem Computational Methods in Applied Mathematics, 18 (2). pp. 223-236. ISSN 1609-4840
Full text not available from this repository.
Official URL: https://doi.org/10.1515/cmam-2017-0018
Related URL: http://dx.doi.org/10.1515/cmam-2017-0018
Abstract
An optimally convergent (with respect to the regularity) quadratic finite element method for the two-dimensional obstacle problem on simplicial meshes is studied in [14]. There was no analogue of a quadratic finite element method on tetrahedron meshes for the three-dimensional obstacle problem. In this article, a quadratic finite element enriched with element-wise bubble functions is proposed for the three-dimensional elliptic obstacle problem. A priori error estimates are derived to show the optimal convergence of the method with respect to the regularity. Further, a posteriori error estimates are derived to design an adaptive mesh refinement algorithm. A numerical experiment illustrating the theoretical result on a priori error estimates is presented.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Walter de Gruyter GmbH. |
| Keywords: | Finite Element; Quadratic FEM; 3D-Obstacle Problem; Error Estimates; Variational Inequalities; Lagrange Multiplier |
| ID Code: | 141591 |
| Deposited On: | 02 Dec 2025 07:47 |
| Last Modified: | 02 Dec 2025 07:47 |
Repository Staff Only: item control page
