Mapped B-spline basis functions for shape design and isogeometric analysis over an arbitrary parameterization
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Publication:460989
DOI10.1016/j.cma.2013.10.023zbMath1296.65024OpenAlexW1997989816MaRDI QIDQ460989
Publication date: 9 October 2014
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2013.10.023
B-splinesisogeometric analysisarbitrary topologygravity center methodmapped basis functionsre-parameterization
Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items
A comparison of smooth basis constructions for isogeometric analysis, Isogeometric analysis with geometrically continuous functions on two-patch geometries, Parametric mesh regularization for interpolatory shape design and isogeometric analysis over a mesh of arbitrary topology, Isogeometric boundary element analysis based on UE-splines, Rectified unstructured T-splines with dynamic weighted refinement for improvement in geometric consistency and approximation convergence
Uses Software
Cites Work
- Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- THB-splines: The truncated basis for hierarchical splines
- Isogeometric boundary element analysis using unstructured T-splines
- Mapping techniques for isogeometric analysis of elliptic boundary value problems containing singularities
- Isogeometric analysis of trimmed NURBS geometries
- Generalized B-splines as a tool in isogeometric analysis
- Isogeometric analysis using T-splines
- Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
- Adaptive finite element methods for elliptic equations over hierarchical T-meshes
- Isogeometric shell analysis with Kirchhoff-Love elements
- Full analytical sensitivities in NURBS based isogeometric shape optimization
- A new approach to solid modeling with trivariate T-splines based on mesh optimization
- Application of B-spline techniques to the modeling of airplane wings and numerical grid generation
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
- A practical guide to splines
- Modeling surfaces from meshes of arbitrary topology
- Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
- Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline
- Polynomial splines over locally refined box-partitions
- Modelling surfaces from planar irregular meshes
- Shear-flexible subdivision shells
- Spline-based meshfree method
- The Numerical Evaluation of a Spline from its B-Spline Representation
- Isogeometric Analysis
- The p‐version of the finite element method for domains with corners and for infinite domains
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