Paper Info
Title
A posteriori discontinuous Galerkin error estimator for linear elasticity.
Abstract
This paper presents for the first time the derivation of an hp a posteriori error estimator for the symmetric interior penalty discontinuous Galerkin finite element method for linear elastic analysis. Any combination of Neumann and Dirichlet boundary conditions are admissible in the formulation, including applying Neumann and Dirichlet on different components on the same region of the boundary. Therefore, the error estimator is applicable to a variety of physical problems. The error estimator is incorporated into an hp-adaptive finite element solver and verified against smooth and non-smooth problems with closed-form analytical solutions, as well as, being demonstrated on a non-smooth problem with complex boundary conditions. The hp-adaptive finite element analyses achieve exponential rates of convergence. The performances of the hp-adaptive scheme are contrasted against uniform and adaptive h refinement. This paper provides a complete framework for adaptivity in the symmetric interior penalty discontinuous Galerkin finite element method for linear elastic analysis.
Year
DOI
Venue
2019
10.1016/j.amc.2018.08.039
Applied Mathematics and Computation
Keywords
Field
DocType
Discontinuous Galerkin,Error estimator,Linear elasticity
Convergence (routing),Discontinuous Galerkin method,Boundary value problem,Mathematical analysis,Dirichlet boundary condition,Finite element method,Dirichlet distribution,Linear elasticity,Mathematics,Estimator
Journal
Volume
ISSN
Citations 
344
0096-3003
0
PageRank 
References 
Authors
0.34
8
3
Name
Order
Citations
PageRank
Robert E. Bird100.34
William M. Coombs202.37
Stefano Giani3369.55