2015
DOI: 10.1016/j.cma.2014.09.035
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Abstract: An isogeometric boundary element method for problems in elasticity is presented, which is based on an independent approximation for the geometry, traction and displacement field. This enables a flexible choice of refinement strategies, permits an efficient evaluation of geometry related information, a mixed collocation scheme which deals with discontinuous tractions along non-smooth boundaries and a significant reduction of the right hand side of the system of equations for common boundary conditions. All thes… Show more

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Cited by 127 publications
(82 citation statements)
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“…Especially, if non-conforming partitions of trimmed surfaces are considered. The application of discontinuous collocation is an elegant remedy to this issue [6,7]. Using such schemes, collocation points along the boundary of γ are slightly shifted inside, thereby abolishing the link to adjacent surfaces.…”
Section: Isogeometric Boundary Element Methodsmentioning
confidence: 99%
See 3 more Smart Citations
“…Especially, if non-conforming partitions of trimmed surfaces are considered. The application of discontinuous collocation is an elegant remedy to this issue [6,7]. Using such schemes, collocation points along the boundary of γ are slightly shifted inside, thereby abolishing the link to adjacent surfaces.…”
Section: Isogeometric Boundary Element Methodsmentioning
confidence: 99%
“…In particular, each basis function B i of the unknown field is related to a certain x c i . It has been demonstrated by several authors [7,12,13] that the Greville abscissaeξ…”
Section: Isogeometric Boundary Element Methodsmentioning
confidence: 99%
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“…Recourse is always made to some type of mathematical model, usually a set of partial differential equations (PDEs). The resulting problem is solved numerically using a wide variety of discretisation methods including finite element methods [22][23][24][25][26], finite differences, meshfree methods [27], isogeometric approaches [28,29], geometry independent field approximation [30,31], scaled-boundary finite elements [32][33][34][35][36], boundary element approaches [37], enriched boundary elements [38] or combinations thereof [39][40][41].…”
Section: Case Study 2: Digital Twins In Engineering and Personalisedmentioning
confidence: 99%