Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field

[EN] This paper proposes a new formulation to impose Dirichlet boundary conditions on immersed boundary Cartesian Finite Element meshes. The method uses a recovered stress field calculated by Superconvergent Patch Recovery to stabilize the Lagrange multiplier formulation of the problem. The optimal...

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Authors: Tur Valiente, Manuel|||0000-0001-7683-4771, Albelda Vitoria, José|||0000-0001-7365-1152, Ródenas, Juan José|||0000-0003-2195-7920, Marco, Onofre
Format: article
Publication Date:2015
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/63044
Online Access:https://riunet.upv.es/handle/10251/63044
Access Level:Open access
Keyword:Dirichlet boundary conditions
Lagrange multipliers
Stabilization
Immersed boundary method
Cartesian grid
INGENIERIA MECANICA
id ES_8a3b3fbd8693aa6a67a96c1cfe4ff55d
oai_identifier_str oai:riunet.upv.es:10251/63044
network_acronym_str ES
network_name_str España
spelling Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field Tur Valiente, Manuel|||0000-0001-7683-4771 Albelda Vitoria, José|||0000-0001-7365-1152 Ródenas, Juan José|||0000-0003-2195-7920 Marco, Onofre Dirichlet boundary conditions Lagrange multipliers Stabilization Immersed boundary method Cartesian grid INGENIERIA MECANICA [EN] This paper proposes a new formulation to impose Dirichlet boundary conditions on immersed boundary Cartesian Finite Element meshes. The method uses a recovered stress field calculated by Superconvergent Patch Recovery to stabilize the Lagrange multiplier formulation of the problem. The optimal convergence of the method and the convergence of the proposed iterative procedure are demonstrated. The proposed method is also suitable for problems with non-linear material behavior. Some numerical examples are included to confirm the theoretical results. The authors wish to thank the Spanish Ministerio de Economia y Competitividad for the financial support received through the project DPI2013-46317-R and Generalitat Valenciana through the project PROMETEO/2012/023. The authors are also grateful for the support of the Seventh Framework Programme Initial Training Network Funding under grant number 289361 'Integrating Numerical Simulation and Geometric Design Technology (INSIST)". Elsevier https://riunet.upv.es/handle/10251/63044
title Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
spellingShingle Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
Tur Valiente, Manuel|||0000-0001-7683-4771
Dirichlet boundary conditions
Lagrange multipliers
Stabilization
Immersed boundary method
Cartesian grid
INGENIERIA MECANICA
title_short Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
title_full Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
title_fullStr Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
title_full_unstemmed Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
title_sort Stabilized method of imposing Dirichlet boundary conditions using a recovered stress field
author Tur Valiente, Manuel|||0000-0001-7683-4771
author_facet Tur Valiente, Manuel|||0000-0001-7683-4771
Albelda Vitoria, José|||0000-0001-7365-1152
Ródenas, Juan José|||0000-0003-2195-7920
Marco, Onofre
author_role author
author2 Albelda Vitoria, José|||0000-0001-7365-1152
Ródenas, Juan José|||0000-0003-2195-7920
Marco, Onofre
author2_role author
author
author
topic Dirichlet boundary conditions
Lagrange multipliers
Stabilization
Immersed boundary method
Cartesian grid
INGENIERIA MECANICA
topic_facet Dirichlet boundary conditions
Lagrange multipliers
Stabilization
Immersed boundary method
Cartesian grid
INGENIERIA MECANICA
description [EN] This paper proposes a new formulation to impose Dirichlet boundary conditions on immersed boundary Cartesian Finite Element meshes. The method uses a recovered stress field calculated by Superconvergent Patch Recovery to stabilize the Lagrange multiplier formulation of the problem. The optimal convergence of the method and the convergence of the proposed iterative procedure are demonstrated. The proposed method is also suitable for problems with non-linear material behavior. Some numerical examples are included to confirm the theoretical results.
publishDate 2015
format article
url https://riunet.upv.es/handle/10251/63044
language eng
eu_rights_str_mv openAccess
publisher Elsevier
institution Universitat Politècnica de València (UPV)
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname_str Universitat Politècnica de València (UPV)
_version_ 1878437550483308544
publishDateSort 2015
author_browse Albelda Vitoria, José|||0000-0001-7365-1152
Marco, Onofre
Ródenas, Juan José|||0000-0003-2195-7920
Tur Valiente, Manuel|||0000-0001-7683-4771
publisherStr Elsevier
score 6.9303427

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