A survey on the local refinable splines
From MaRDI portal
Publication:294489
DOI10.1007/s11425-015-5063-8zbMath1338.65034OpenAlexW2222991932MaRDI QIDQ294489
Jiansong Deng, Falai Chen, Hongmei Kang, Xin Li
Publication date: 16 June 2016
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-015-5063-8
\(B\)-splinesgeometric modelinglocal refinementisogeometric analysis\(T\)-splineshierarchical \(B\)-splineslocally refined (LR) \(B\)-splinespolynomial splines over hierarchical \(T\)-meshes (PHT-splines)
Related Items
Phase-field guided surface reconstruction based on implicit hierarchical B-splines, Computing IGA-suitable planar parameterizations by polysquare-enhanced domain partition, Coupling adaptively refined multi-patch spline discretizations via boundary compatibility, Bounds on the number of solutions of polynomial systems and the Betti numbers of real piecewise algebraic hypersurfaces, NLIGA: a MATLAB framework for nonlinear isogeometric analysis, Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes, Trivariate spline representations for computer aided design and additive manufacturing, Adaptive \(w\)-refinement: a new paradigm in isogeometric analysis, Computational aspects of morphological instabilities using isogeometric analysis, Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods, Quasi-interpolation for analysis-suitable T-splines
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines
- Analysis-suitable T-splines are dual-compatible
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
- Solid T-spline construction from boundary representations for genus-zero geometry
- Conformal solid T-spline construction from boundary T-spline representations
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- Characterization of T-splines with reduced continuity order on T-meshes
- On linear independence of T-spline blending functions
- Local refinement of analysis-suitable T-splines
- THB-splines: The truncated basis for hierarchical splines
- Isogeometric boundary element analysis using unstructured T-splines
- Dual evolution of planar parametric spline curves and T-spline level sets
- Spline spaces on TR-meshes with hanging vertices
- Isogeometric analysis using T-splines
- Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
- Robustness of isogeometric structural discretizations under severe mesh distortion
- \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method
- Adaptive finite element methods for elliptic equations over hierarchical T-meshes
- Isogeometric analysis using T-splines on two-patch geometries
- Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
- Linear independence of the T-spline blending functions associated with some particular T-meshes
- On the instability in the dimension of splines spaces over T-meshes
- Rotation-free isogeometric thin shell analysis using PHT-splines
- A phase-field description of dynamic brittle fracture
- Approximation power of polynomial splines on \(T\)-meshes
- On the linear independence and partition of unity of arbitrary degree analysis-suitable T-splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric analysis of structural vibrations
- Studies of refinement and continuity in isogeometric structural analysis
- Feedback and adaptive finite element solution of one-dimensional boundary value problems
- A posteriori error estimation in finite element analysis
- Dimensions of biquadratic spline spaces over T-meshes
- Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
- Bases and dimensions of bivariate hierarchical tensor-product splines
- On Hermite interpolation with polynomial splines on T-meshes
- Dimension of spline spaces with highest order smoothness over hierarchical \(T\)-meshes
- Splines on triangulations with hanging vertices
- Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline
- Polynomial splines over locally refined box-partitions
- Some properties of LR-splines
- Modified T-splines
- Dimensions of spline spaces over T-meshes
- An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics
- ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES
- On the dimension of spline spaces on planar T-meshes
- An isogeometric analysis approach to gradient damage models
- An isogeometric approach to cohesive zone modeling
- Isogeometric finite element data structures based on Bézier extraction of T-splines
- Periodic T-Splines and Tubular Surface Fitting
- T‐spline finite element method for the analysis of shell structures
- Isogeometric Analysis
- Algorithms and Data Structures for Truncated Hierarchical B–splines
- Analysis-suitable T-splines: Characterization, refineability, and approximation
- Manifold T-Spline
