A posteriori discontinuous Galerkin error estimator for linear elasticity [dataset]

Bird, R.E. (Durham University, UK); Coombs W.M. (Durham University, UK); Giani, S. (Durham University, UK)

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A posteriori discontinuous Galerkin error estimator for linear elasticity

A posteriori discontinuous Galerkin error estimator for linear elasticity [dataset] Open Access

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.

Descriptions

Resource type: Dataset
Contributors: Creator: Bird, R.E. ¹
Contact person: Bird, R.E. ¹
Creator: Giani, S. ¹
Creator: Coombs W.M. ¹

¹ Durham University, UK
Funder: Engineering and Physical Sciences Research Council
Research methods
Other description
Keyword
Subject: Galerkin methods
Elasticity
Location
Language
Cited in: doi:10.1016/j.amc.2018.08.039
Identifier: ark:/32150/r2qn59q397h
doi:10.15128/r2qn59q397h
Rights: Creative Commons Attribution 4.0 International (CC BY)
Publisher: Durham University
Date Created

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Depositor: R.E. Bird
Date Uploaded: 12 September 2017, 10:09:46
Date Modified: 17 July 2026, 11:07:00
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File size: 3326

Last modified: 2017:09:12 11:59:03+01:00

Filename: DG_elast_posteriori_error.zip

Original checksum: b608a6054690e2a7fc88599317bbb47b

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