A superconvergent hybridisable discontinuous Galerkin method for linear elasticity

This is the peer reviewed version of the following article: Sevilla, R., Giacomini, M., Karkoulias, A., Huerta, A. A superconvergent hybridisable discontinuous Galerkin method for linear elasticity. "International journal for numerical methods in engineering", 12 Octubre 2018, vol. 116, nú...

Full description

Bibliographic Details
Authors: Sevilla Cárdenas, Rubén|||0000-0002-0061-6214, Giacomini, Matteo|||0000-0001-6094-5944, Karkoulias, Alexandros, Huerta, Antonio|||0000-0003-4198-3798
Format: article
Publication Date:2018
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/123467
Online Access:https://hdl.handle.net/2117/123467
https://dx.doi.org/10.1002/nme.5916
Access Level:Open access
Keyword:Difference equations, Partial--Numerical solutions
Elasticity
Hybridisable discontinuous Galerkin
Mixed formulation
Voigt notation
Super-convergence
Locking-free
Equacions diferencials parcials--solucions numèriques
Elasticitat
Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
id ES_ad33cfed2beb3bb113667dc308a3fb49
oai_identifier_str oai:upcommons.upc.edu:2117/123467
network_acronym_str ES
network_name_str España
repository_id_str
spelling A superconvergent hybridisable discontinuous Galerkin method for linear elasticitySevilla Cárdenas, Rubén|||0000-0002-0061-6214Giacomini, Matteo|||0000-0001-6094-5944Karkoulias, AlexandrosHuerta, Antonio|||0000-0003-4198-3798Difference equations, Partial--Numerical solutionsElasticityHybridisable discontinuous GalerkinElasticityMixed formulationVoigt notationSuper-convergenceLocking-freeEquacions diferencials parcials--solucions numèriquesElasticitatClassificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problemsClassificació AMS::74 Mechanics of deformable solids::74B Elastic materialsÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèricaÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciènciesThis is the peer reviewed version of the following article: Sevilla, R., Giacomini, M., Karkoulias, A., Huerta, A. A superconvergent hybridisable discontinuous Galerkin method for linear elasticity. "International journal for numerical methods in engineering", 12 Octubre 2018, vol. 116, núm. 2, p. 91-116, which has been published in final form at https://doi.org/10.1002/nme.5916. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.The first superconvergent hybridisable discontinuous Galerkin method for linear elastic problems capable of using the same degree of approximation for both the primal and mixed variables is presented. The key feature of the method is the strong imposition of the symmetry of the stress tensor by means of the well known and extensively used Voigt notation, circumventing the use of complex mathematical concepts to enforce the symmetry of the stress tensor either weakly or strongly. A novel procedure to construct element by element a superconvergent postprocessed displacement is proposed. Contrary to other hybridisable discontinuous Galerkin formulations, the methodology proposed here is able to produce a superconvergent displacement field for low-order approximations. The resulting method is robust and locking-free in the nearly incompressible limit. An extensive set of numerical examples is utilised to provide evidence of the optimality of the method and its superconvergent properties in two and three dimensions and for different element types.Peer ReviewedJohn Wiley & sons20182018-10-1220182018-11-02journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/123467https://dx.doi.org/10.1002/nme.5916reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengEuropean Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 675919 Empowered decision-making in simulation-based engineering: Advanced Model Reduction for real-time, inverse and optimization in industrial problemsopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1234672026-05-27T15:37:01Z
dc.title.none.fl_str_mv A superconvergent hybridisable discontinuous Galerkin method for linear elasticity
title A superconvergent hybridisable discontinuous Galerkin method for linear elasticity
spellingShingle A superconvergent hybridisable discontinuous Galerkin method for linear elasticity
Sevilla Cárdenas, Rubén|||0000-0002-0061-6214
Difference equations, Partial--Numerical solutions
Elasticity
Hybridisable discontinuous Galerkin
Elasticity
Mixed formulation
Voigt notation
Super-convergence
Locking-free
Equacions diferencials parcials--solucions numèriques
Elasticitat
Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
title_short A superconvergent hybridisable discontinuous Galerkin method for linear elasticity
title_full A superconvergent hybridisable discontinuous Galerkin method for linear elasticity
title_fullStr A superconvergent hybridisable discontinuous Galerkin method for linear elasticity
title_full_unstemmed A superconvergent hybridisable discontinuous Galerkin method for linear elasticity
title_sort A superconvergent hybridisable discontinuous Galerkin method for linear elasticity
dc.creator.none.fl_str_mv Sevilla Cárdenas, Rubén|||0000-0002-0061-6214
Giacomini, Matteo|||0000-0001-6094-5944
Karkoulias, Alexandros
Huerta, Antonio|||0000-0003-4198-3798
author Sevilla Cárdenas, Rubén|||0000-0002-0061-6214
author_facet Sevilla Cárdenas, Rubén|||0000-0002-0061-6214
Giacomini, Matteo|||0000-0001-6094-5944
Karkoulias, Alexandros
Huerta, Antonio|||0000-0003-4198-3798
author_role author
author2 Giacomini, Matteo|||0000-0001-6094-5944
Karkoulias, Alexandros
Huerta, Antonio|||0000-0003-4198-3798
author2_role author
author
author
dc.subject.none.fl_str_mv Difference equations, Partial--Numerical solutions
Elasticity
Hybridisable discontinuous Galerkin
Elasticity
Mixed formulation
Voigt notation
Super-convergence
Locking-free
Equacions diferencials parcials--solucions numèriques
Elasticitat
Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
topic Difference equations, Partial--Numerical solutions
Elasticity
Hybridisable discontinuous Galerkin
Elasticity
Mixed formulation
Voigt notation
Super-convergence
Locking-free
Equacions diferencials parcials--solucions numèriques
Elasticitat
Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
description This is the peer reviewed version of the following article: Sevilla, R., Giacomini, M., Karkoulias, A., Huerta, A. A superconvergent hybridisable discontinuous Galerkin method for linear elasticity. "International journal for numerical methods in engineering", 12 Octubre 2018, vol. 116, núm. 2, p. 91-116, which has been published in final form at https://doi.org/10.1002/nme.5916. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-10-12
2018
2018-11-02
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/123467
https://dx.doi.org/10.1002/nme.5916
url https://hdl.handle.net/2117/123467
https://dx.doi.org/10.1002/nme.5916
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv European Commission http://doi.org/10.13039/100010661 Horizon 2020 Framework Programme 675919 Empowered decision-making in simulation-based engineering: Advanced Model Reduction for real-time, inverse and optimization in industrial problems
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv John Wiley & sons
publisher.none.fl_str_mv John Wiley & sons
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869416420252581888
score 15,301603

Similar Items