An adaptive collocation method with weighted extended PHT-splines
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Publication:2661861
DOI10.1007/s11424-020-9390-7zbMath1468.65013OpenAlexW3086339784MaRDI QIDQ2661861
Xuhui Wang, Qian Ni, Jiansong Deng
Publication date: 8 April 2021
Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11424-020-9390-7
Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)
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Foreword to the special topic ⋮ Isogeometric collocation method based on residual parameterization of planar physical domain
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Cites Work
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- Collocation with WEB-splines
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- Existence of stiffness matrix integrals for singularly parameterized domains in isogeometric analysis
- On linear independence of T-spline blending functions
- Local refinement of analysis-suitable T-splines
- Strongly stable bases for adaptively refined multilevel spline spaces
- Isogeometric analysis using LR B-splines
- Isogeometric analysis using T-splines
- Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
- Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis
- Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
- Rotation-free isogeometric thin shell analysis using PHT-splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type
- A practical guide to splines
- A unified approach to construct generalized B-splines for isogeometric applications
- Isogeometric analysis on implicit domains using weighted extended PHT-splines
- Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
- An isogeometric collocation method using superconvergent points
- An adaptive isogeometric analysis collocation method with a recovery-based error estimator
- Isogeometric collocation methods with generalized B-splines
- Modified PHT-splines
- Numerical integration over implicitly defined domains with topological guarantee
- The variational collocation method
- Planar domain parameterization for isogeometric analysis based on Teichmüller mapping
- Stable isogeometric analysis of trimmed geometries
- Isogeometric collocation for the Reissner-Mindlin shell problem
- A \(H^1\)-integrability condition of surfaces with singular parametrizations in isogeometric analysis
- AS++ T-splines: linear independence and approximation
- THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
- Consistency and convergence properties of the isogeometric collocation method
- Dimensions of spline spaces over T-meshes
- Weighted T-splines with application in reparameterizing trimmed NURBS surfaces
- Weighted Extended B-Spline Approximation of Dirichlet Problems
- ISOGEOMETRIC COLLOCATION METHODS
- Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms
- Finite Element Methods with B-Splines
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Analysis-suitable T-splines: Characterization, refineability, and approximation
- Collocation at Gaussian Points