2017
DOI: 10.1016/j.cma.2017.05.011
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Isogeometric symmetric Galerkin boundary element method for three-dimensional elasticity problems

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Cited by 29 publications
(6 citation statements)
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“…The potential benefits of using IGA for the solution of boundary integral equations were already mentioned in the conclusions of [ 129 ], but it has only been considered first in [ 178 ]. The research on IGABEM has steadily grown since then, although not as fast as for IGAFEM, with applications in acoustics [ 61 , 82 , 196 , 205 ], elasticity [ 13 , 168 ], electromagnetics [ 83 , 195 , 204 ], lifting flow [ 63 ], potential flow [ 118 , 140 , 141 ], and solid mechanics [ 156 , 190 ], see also the recent book [ 17 ] for a comprehensive survey of the topic and a complete review of the existing literature. An implementation of (non-adaptive) IGABEM is available in the open-source library Bembel [ 81 ].…”
Section: Model Problems and Isogeometric Analysismentioning
confidence: 99%
“…The potential benefits of using IGA for the solution of boundary integral equations were already mentioned in the conclusions of [ 129 ], but it has only been considered first in [ 178 ]. The research on IGABEM has steadily grown since then, although not as fast as for IGAFEM, with applications in acoustics [ 61 , 82 , 196 , 205 ], elasticity [ 13 , 168 ], electromagnetics [ 83 , 195 , 204 ], lifting flow [ 63 ], potential flow [ 118 , 140 , 141 ], and solid mechanics [ 156 , 190 ], see also the recent book [ 17 ] for a comprehensive survey of the topic and a complete review of the existing literature. An implementation of (non-adaptive) IGABEM is available in the open-source library Bembel [ 81 ].…”
Section: Model Problems and Isogeometric Analysismentioning
confidence: 99%
“…The potential benefits of using IGA for the solution of boundary integral equations were already mentioned in the conclusions of [123], but it has only been considered first in [172]. The research on IGABEM has steadily grown since then, although not as fast as for IGAFEM, with applications in acoustics [189,76,61,198], elasticity [13,162], electromagnetics [197,188,77], lifting flow [63], potential flow [112,134,135], and solid mechanics [183,150], see also the recent book [17] for a comprehensive survey of the topic and a complete review of the existing literature. An implementation of (non-adaptive) IGABEM is available in the open-source library Bembel [75].…”
Section: Isogeometric Analysis For Bem (Igabem)mentioning
confidence: 99%
“…Three dimensional problems need trivariate NURBS solids for analysis, but CAD systems use a boundary representation where only bivariate NURBS are involved. A possible solution to this issue consists in adopting boundary element methods (BEMs) [6,26], whose isogeometric formulation is briefly referred to as IGA-BEM and has recently been succesfully applied to several classical problems, e.g., Laplace and Helmholtz equation [29,14], elastostatics and elasticity [27,31,5,24], potential flow [18] and wave-resistance problems [17]. BEMs reformulate the original differential problem through the fundamental solution into boundary integral equations.…”
Section: Introductionmentioning
confidence: 99%