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A posteriori discontinuous Galerkin error estimator for linear elasticity

Supplementary material: A posteriori discontinuous Galerkin error estimator for linear elasticity Open Access

This paper presents for the first time the derivation of a posteriori error estimator for the symmetric interior penalty discontinuous Galerkin finite element method for linear elastic analysis. Pure Neumann/Dirichlet and mixed Neumann/Dirichlet boundary conditions and admissible in the formulation, making the error estimator applicable to variety of physical problems. The error estimator is incorporated into a 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 which is the fasted reported so far in literature. The performances of the hp-adaptive scheme are contrasted against uniform and adaptive h refinement. This paper provides complete framework for adaptivity in the symmetric interior penalty discontinuous Galerkin finite element method for linear elastic analysis.

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Resource type
Other
Contributors
Creator: Giani, Stefano 1
Bird, Robert E. 1
Coombs, William M. 1
1 Durham University, UK
Funder
Engineering and Physical Sciences Research Council
Research methods
Other description
Keyword
Error estimator
Discontinuous Galerkin
Linear elasticity
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Identifier
ark:/32150/r1ww72bb524
doi:10.15128/r1ww72bb524
Rights
Creative Commons Attribution 4.0 International (CC BY)

Publisher
Durham University
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