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An a posteriori error estimator for a non-conforming domain decomposition method for a harmonic elastodynamics equation
dc.creator | Domínguez C. | |
dc.creator | Torres R. | |
dc.creator | González H. | |
dc.date.accessioned | 2020-03-26T16:32:33Z | |
dc.date.available | 2020-03-26T16:32:33Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | East Asian Journal on Applied Mathematics; Vol. 8, Núm. 2; pp. 365-384 | |
dc.identifier.issn | 20797362 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12585/8883 | |
dc.description.abstract | We develop a reliable residual-based a posteriori error estimator for a nonconforming method with non-matching meshes for a harmonic elastodynamics equation and show that the approximation method converges with an optimal order to the exact solution. Moreover, we propose an adaptive strategy to reduce computational cost and derive better approximations for problems with singularities and with large approximating systems. Numerical experiments confirm theoretical conclusions. © 2018 Global-Science Press. | eng |
dc.description.sponsorship | Departamento Administrativo de Ciencia, Tecnología e Innovación, COLCIENCIAS: 121565842348, 048-2015 Departamento Administrativo de Ciencia, Tecnología e Innovación, COLCIENCIAS | |
dc.format.medium | Recurso electrónico | |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Global Science Press | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85075962929&doi=10.4208%2feajam.100317.020318a&partnerID=40&md5=b6f0d94ec48e97dc7b5d668c155b47ab | |
dc.title | An a posteriori error estimator for a non-conforming domain decomposition method for a harmonic elastodynamics equation | |
dcterms.bibliographicCitation | Arnold, D.N., An interior penalty finite element method with discontinuous elements (1982) SIAM J. Numer. Anal., 19, pp. 742-760 | |
dcterms.bibliographicCitation | Becker, R., Mesh adaptation for dirichlet flow control via nitsche’s method (2002) Comm. Numer. Methods Engrg., 18, pp. 669-680 | |
dcterms.bibliographicCitation | Becker, R., Hansbo, P., Stenberg, R., A finite element method for domain decomposition with non-matching grids (2003) Mathematical Modelling and Numerical Analysis, 37, pp. 209-225 | |
dcterms.bibliographicCitation | Boiveau, T., Burman, E., A penalty-free nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity (2016) IMA J. Numer. Anal., 36, pp. 770-795 | |
dcterms.bibliographicCitation | Braess, D., Finite elements (2001) Theory, Fast Solvers, and Applications in Solid Mechanics, , Cambridge University Press | |
dcterms.bibliographicCitation | Brenner, S.C., Scott, L.R., The mathematical theory of finite element methods (2008) Texts in Applied Mathematics, 15. , Springer | |
dcterms.bibliographicCitation | Carstensen, C., Dolzmann, G., Funken, S., Helm, D., Locking-free adaptive mixed finite element methods in linear elasticity (2000) Comput. Methods Appl. Mech. Engrg., 190, pp. 1701-1718 | |
dcterms.bibliographicCitation | Domínguez, C., Stephan, E.P., Maischak, M., FE/BE coupling for an acoustic fluid-structure interaction problem. Residual a posteriori error estimates (2012) Internat. J. Numer. Methods Engrg., 89, pp. 299-322 | |
dcterms.bibliographicCitation | Fritz, A., Hüeber, S., Wohlmuth, B., A comparison of mortar and nitsche techniques for linear elasticity (2004) Calcolo, 41, pp. 115-137 | |
dcterms.bibliographicCitation | Hansbo, A., Hansbo, P., Larson, M.G., A finite element method on composite grids based on nitsche’s method (2003) Math. Model. Numer. Anal., 37, pp. 495-514 | |
dcterms.bibliographicCitation | Heinrich, B., Nicaise, S., The nitsche mortar finite-element method for transmission problems with singularities (2003) IMA J. Numer. Anal., 23, pp. 331-358 | |
dcterms.bibliographicCitation | Nitsche, J., Uber ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind (1971) Abh. Math. Semin. Univ. Hambg., 36, pp. 9-15 | |
dcterms.bibliographicCitation | Verfürth, R., (1996) A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques, , Teubner Verlag | |
dcterms.bibliographicCitation | Verfürth, R., A posteriori error estimation techniques for finite element methods (2013) Numerical Mathematics and Scientific Computation, , Oxford University Press | |
dcterms.bibliographicCitation | Vergara, C., Nitsche’s method for defective boundary value problems in incompressible fluid-dynamics (2011) J. Sci. Comput., 46, pp. 100-123 | |
dcterms.bibliographicCitation | Widlund, O.B., Keyes, D.E., Domain decomposition methods in science and engineering XVI (2007) Lecture Notes in Computational Science and Engineering, 55. , Springer | |
dcterms.bibliographicCitation | Wohlmuth, B.I., A residual based error estimator for mortar finite element discretizations (1999) Numer. Math., 84, pp. 143-171 | |
datacite.rights | http://purl.org/coar/access_right/c_16ec | |
oaire.resourceType | http://purl.org/coar/resource_type/c_6501 | |
oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
dc.type.driver | info:eu-repo/semantics/article | |
dc.type.hasversion | info:eu-repo/semantics/publishedVersion | |
dc.identifier.doi | 10.4208/eajam.100317.020318a | |
dc.subject.keywords | A posteriori error estimator | |
dc.subject.keywords | Adaptive method | |
dc.subject.keywords | Domain decomposition method | |
dc.subject.keywords | Harmonic elastodinamics equation | |
dc.subject.keywords | Nitsche method | |
dc.subject.keywords | Non-matching mesh | |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.rights.cc | Atribución-NoComercial 4.0 Internacional | |
dc.identifier.instname | Universidad Tecnológica de Bolívar | |
dc.identifier.reponame | Repositorio UTB | |
dc.description.notes | This research work was supported by Colciencias (Departamento Administrativo de Ciencia, Tecnología e Innovación de Colombia) under the project 121565842348 (Contract No. 048-2015). We thank the anonymous reviewers for careful reading of the manuscript and their encouraging comments and suggestions. | |
dc.type.spa | Artículo | |
dc.identifier.orcid | 45860981700 | |
dc.identifier.orcid | 57212114514 | |
dc.identifier.orcid | 57212113860 |
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