\(C^s\)-smooth isogeometric spline spaces over planar bilinear multi-patch parameterizations
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Publication:2048198
DOI10.1007/s10444-021-09868-5OpenAlexW3171606719MaRDI QIDQ2048198
Publication date: 5 August 2021
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.06247
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (3)
\(C^1\) isogeometric spline space for trilinearly parameterized multi-patch volumes ⋮ A comparison of smooth basis constructions for isogeometric analysis ⋮ Volumetric parameterization with truncated hierarchical B-splines for isogeometric analysis
Cites Work
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- An unconditionally energy-stable method for the phase field crystal equation
- Isogeometric analysis of the advective Cahn-Hilliard equation: spinodal decomposition under shear flow
- Isogeometric analysis of 2D gradient elasticity
- A large deformation, rotation-free, isogeometric shell
- Isogeometric shell analysis with Kirchhoff-Love elements
- The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches
- \(C^{1}\) finite elements on non-tensor-product 2d and 3d manifolds
- An isogeometric \(C^{1}\) subspace on unstructured multi-patch planar domains
- A fully ``locking-free isogeometric approach for plane linear elasticity problems: a stream function formulation
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A short proof of the generalized Faà di Bruno's formula
- Refinable \(C^1\) spline elements for irregular quad layout
- Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology
- Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces
- Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics
- Isogeometric analysis with strong multipatch \(C^{1}\)-coupling
- Isogeometric Kirchhoff-Love shell formulations for general hyperelastic materials
- Dimension and basis construction for \(C^2\)-smooth isogeometric spline spaces over bilinear-like \(G^2\) two-patch parameterizations
- Isogeometric analysis of first and second strain gradient elasticity
- Nitsche's method for a coupling of isogeometric thin shells and blended shell structures
- An isogeometric collocation method using superconvergent points
- A new mixed approach to Kirchhoff-Love shells
- Solving the triharmonic equation over multi-patch planar domains using isogeometric analysis
- Isogeometric analysis with geometrically continuous functions on two-patch geometries
- Smooth Bézier surfaces over unstructured quadrilateral meshes
- Space of \(C^2\)-smooth geometrically continuous isogeometric functions on two-patch geometries
- Geometrically smooth spline bases for data fitting and simulation
- Multi-patch isogeometric analysis for Kirchhoff-Love shell elements
- Isogeometric collocation on planar multi-patch domains
- Isogeometric analysis with \(C^1\) functions on planar, unstructured quadrilateral meshes
- Strong multipatch \(C^1\)-coupling for isogeometric analysis on 2D and 3D domains
- Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems
- The variational collocation method
- Isogeometric analysis with geometrically continuous functions on planar multi-patch geometries
- Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates
- Optimal-order isogeometric collocation at Galerkin superconvergent points
- Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis
- Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations
- Dimension and basis construction for analysis-suitable \(G^1\) two-patch parameterizations
- \(G^1\)-smooth splines on quad meshes with 4-split macro-patch elements
- Refinable \(G^1\) functions on \(G^1\) free-form surfaces
- Space of \(C^2\)-smooth geometrically continuous isogeometric functions on planar multi-patch geometries: dimension and numerical experiments
- Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements
- Isogeometric analysis of high order partial differential equations on surfaces
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- Domain Decomposition Methods and Kirchhoff-Love Shell Multipatch Coupling in Isogeometric Analysis
- An isogeometric analysis approach to gradient damage models
- ISOGEOMETRIC COLLOCATION METHODS
- Spline Functions on Triangulations
- A Decomposition Result for Kirchhoff Plate Bending Problems and a New Discretization Approach
- Isogeometric Analysis
- Mathematical analysis of variational isogeometric methods
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