Splines for meshes with irregularities
From MaRDI portal
Publication:2178665
DOI10.5802/smai-jcm.57zbMath1437.65215OpenAlexW3003405132MaRDI QIDQ2178665
Publication date: 11 May 2020
Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/smai-jcm.57
Numerical computation using splines (65D07) Determinants, permanents, traces, other special matrix functions (15A15) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)
Related Items
Analysis-suitable unstructured T-splines: multiple extraordinary points per face, Polyhedral control-net splines for analysis, Blending Bézier patch for multi-sided surface modeling, Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout, Multi-sided B-spline surfaces over curved, multi-connected domains, Subdivision and G-spline hybrid constructions for high-quality geometric and analysis-suitable surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- THB-splines: The truncated basis for hierarchical splines
- Shape optimal design using B-splines
- \(C^{1}\) finite elements on non-tensor-product 2d and 3d manifolds
- Smooth free-form surfaces over irregular meshes generalizing quadratic splines
- Concentric tessellation maps and curvature continuous guided surfaces
- Pairs of bi-cubic surface constructions supporting polar connectivity
- Smooth interpolation of a mesh of curves
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Surfaces with polar structure
- Lens-shaped surfaces and \(C^{2}\) subdivision
- A pentagonal surface patch for computer aided geometric design
- Stress projection for membrane and shear locking in shell finite elements
- Geometric continuity and convex combination patches
- Shape optimal design using high-order elements
- A \(C^ 2\) polygonal surface patch
- On degenerate surface patches
- Highlight-line algorithm for realtime surface-quality assessment
- The coupling of geometric descriptions and finite elements using NURBs - A study in shape optimization
- Filling polygonal holes with bicubic patches
- TURBS - topologically unrestricted rational B-splines
- Curvature continuous interpolation of curve meshes
- Freeform splines
- Minimal bi-6 \(G^2\) completion of bicubic spline surfaces
- Refinable \(C^1\) spline elements for irregular quad layout
- Unstructured spline spaces for isogeometric analysis based on spline manifolds
- Multisided generalisations of Gregory patches
- Fair free-form surfaces that are almost everywhere parametrically \(C^2\)
- Polynomial splines over locally refined box-partitions
- Efficient quadrature rules for subdivision surfaces in isogeometric analysis
- Localized G-splines for quad \& T-gon meshes
- A comparative study of several classical, discrete differential and isogeometric methods for solving Poisson's equation on the disk
- Refinable \(G^1\) functions on \(G^1\) free-form surfaces
- Shape characterization of subdivision surfaces --- case studies
- Sleves for planar spline curves
- Biquintic \(G^2\) surfaces via functionals
- Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements
- Subdivision surfaces
- Isoparametric spline finite strip for plane structures
- Spline Functions on Triangulations
- Finite Curvature Continuous Polar Patchworks
- A multisided generalization of Bézier surfaces
- An Introduction to Guided and Polar Surfacing
- Optimized refinable enclosures of multivariate polynomial pieces
