New insight into multilevel local refinement in adaptive isogeometric analysis
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6564
Abstract: One of the most appealing techniques in local refinement for isogeometric analysis (IGA) is hierarchical B‐splines which can be improved by resorting to truncation mechanism called truncated hierarchical B‐splines. Although it has a simple concept,… read more here.
Keywords: analysis; new insight; local refinement; isogeometric analysis ... See more keywords
Multi-level Bézier extraction for hierarchical local refinement of Isogeometric Analysis
Sign Up to like & getrecommendations! Published in 2017 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2017.08.017
Abstract: Abstract One of the main topics of research on Isogeometric Analysis is local refinement. Among the various techniques currently studied and developed, one of the most appealing, referred to as hierarchical B-Splines, consists of defining… read more here.
Keywords: extraction; local refinement; multi level; level ... See more keywords
Composite FG plates with different internal cutouts: Adaptive IGA buckling analysis without trimmed surfaces
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DOI: 10.1016/j.compstruct.2020.113392
Abstract: Abstract This work is devoted to numerical investigation for buckling of functionally graded plates (FGPs) with internal holes using an efficient adaptive isogeometric analysis (IGA). The locally refined (LR) B-splines, which possess the local refinement… read more here.
Keywords: iga; analysis; local refinement; trimmed surfaces ... See more keywords
Local refinement with arbitrary irregular meshes and implementation in numerical manifold method
Sign Up to like & getrecommendations! Published in 2021 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2021.07.010
Abstract: Abstract The solution accuracy based on finite element interpolation strongly depends on mesh quality. Thus, the numerical manifold method advocates that if a finite element mesh is selected as the mathematical cover, the mesh should… read more here.
Keywords: manifold method; local refinement; refinement arbitrary; irregular meshes ... See more keywords
Multi-inclusions modeling by adaptive XIGA based on LR B-splines and multiple level sets
Sign Up to like & getrecommendations! Published in 2018 at "Finite Elements in Analysis and Design"
DOI: 10.1016/j.finel.2018.05.003
Abstract: Abstract In this paper, we present an effective computational approach that combines an adaptive extended isogeometric analysis (XIGA) method with locally refined (LR) B-splines and level set methods for modeling multiple inclusions in two-dimensional (2D)… read more here.
Keywords: multiple level; adaptive xiga; local refinement; xiga ... See more keywords
Efficient Local Refinement near Parametric Boundaries Using kd-Tree Data Structure and Algebraic Level Sets
Sign Up to like & getrecommendations! Published in 2022 at "Algorithms"
DOI: 10.3390/a15070245
Abstract: In analysis of problems with parametric spline boundaries that are immersed or inserted into an underlying domain, the discretization on the underlying domain usually does not conform to the inserted boundaries. While the fixed underlying… read more here.
Keywords: tree data; refinement; local refinement; refinement near ... See more keywords