dc.creator | Vodicka, R. | es |
dc.creator | Mantic, Vladislav | es |
dc.creator | París Carballo, Federico | es |
dc.date.accessioned | 2018-04-05T13:20:16Z | |
dc.date.available | 2018-04-05T13:20:16Z | |
dc.date.issued | 2007 | |
dc.identifier.citation | Vodicka, R., Mantic, V. y París Carballo, F. (2007). Symmetric Variational Formulation of BIE for Domain Decomposition Problems in Elasticity – An SGBEM Approach for Nonconforming Discretizations of Curved Interfaces. Computer Modeling in Engineering & Sciences, 17 (3), 173-203. | |
dc.identifier.issn | 1526-1492 | es |
dc.identifier.uri | https://hdl.handle.net/11441/72020 | |
dc.description.abstract | An original approach to solve domain
decomposition problems by the symmetric
Galerkin boundary element method is developed.
The approach, based on a new variational principle
for such problems, yields a fully symmetric
system of equations. A natural property of
the proposed approach is its capability to deal
with nonconforming discretizations along straight
and curved interfaces, allowing in this way an
independent meshing of non-overlapping subdomains
to be performed. Weak coupling conditions
of equilibrium and compatibility at an interface
are obtained from the critical point conditions
of the energy functional. Equilibrium is imposed
through local traction (Neumann) boundary
conditions prescribed on a subdomain situated
at one side of the interface, and compatibility
is imposed through local displacement (Dirichlet)
boundary conditions prescribed on the other
subdomain situated at the opposite side of the
interface. No additional unknowns such as Lagrange
multipliers are introduced. An SGBEM
code for 2D elastic domain decomposition problems
has been implemented. The effectiveness
of the approach developed is documented by numerical
examples involving non-matching linear
boundary element meshes at the interfaces, where
the accuracy is analyzed by comparing the numerical
results obtained versus the analytical solutions
and by evaluating the convergence rate of
the error in the (discretized) integral L2-norm and
maximum-normfor h-refinements of boundary element meshes. Finally, a theoretical analysis of
a problem with an interior and an exterior subdomain
is introduced to explain the observed behaviour
of numerical results. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Tech Science Press | es |
dc.relation.ispartof | Computer Modeling in Engineering & Sciences, 17 (3), 173-203. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Boundary integral equations | es |
dc.subject | Boundary elements | es |
dc.subject | SGBEM | es |
dc.title | Symmetric Variational Formulation of BIE for Domain Decomposition Problems in Elasticity – An SGBEM Approach for Nonconforming Discretizations of Curved Interfaces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras | es |
dc.relation.publisherversion | http://www.techscience.com/cmes/2007/v17n3_index.html | es |
dc.identifier.doi | 10.3970/cmes.2007.017.173 | es |
dc.contributor.group | Universidad de Sevilla. TEP131: Elasticidad y Resistencia de Materiales | es |
idus.format.extent | 32 p. | es |
dc.journaltitle | Computer Modeling in Engineering & Sciences | es |
dc.publication.volumen | 17 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 173 | es |
dc.publication.endPage | 203 | es |
dc.identifier.sisius | 6608391 | es |