Paper Info
Title
Bubbles Enriched Quadratic Finite Element Method for the 3D-Elliptic Obstacle Problem.
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.
Year
DOI
Venue
2018
10.1515/cmam-2017-0018
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS
Keywords
Field
DocType
Finite Element,Quadratic FEM,3D-Obstacle Problem,Error Estimates,Variational Inequalities,Lagrange Multiplier
Lagrange multiplier,Mathematical analysis,Quadratic equation,Adaptive mesh refinement,Finite element method,Tetrahedron,Obstacle problem,Mathematics,Variational inequality,Mixed finite element method
Journal
Volume
Issue
ISSN
18
2
1609-4840
Citations 
PageRank 
References 
0
0.34
19
Authors
2
Name
Order
Citations
PageRank
Sharat Gaddam100.68
Thirupathi Gudi213514.43