Adaptive isogeometric analysis based on locally refined Tchebycheffian B-splines
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Publication:6595857
DOI10.1016/J.CMA.2024.117186MaRDI QIDQ6595857
Hendrik Speleers, Carla Manni, Krunal Raval
Publication date: 30 August 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Numerical computation using splines (65D07) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Isogeometric methods applied to problems in solid mechanics (74S22)
Cites Work
- Title not available (Why is that?)
- THB-splines: The truncated basis for hierarchical splines
- Isogeometric analysis using LR B-splines
- Generalized B-splines as a tool in isogeometric analysis
- How to build all Chebyshevian spline spaces good for geometric design?
- Isogeometric analysis using T-splines
- Isogeometric analysis in advection-diffusion problems: Tension splines approximation
- Generalized spline spaces over T-meshes: dimension formula and locally refined generalized B-splines
- Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems
- Approximation power of polynomial splines on \(T\)-meshes
- Trigonometric generalized T-splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- A hierarchical construction of LR meshes in 2D
- On the dimension of Tchebycheffian spline spaces over planar T-meshes
- Constructing totally positive piecewise Chebyshevian B-spline bases
- Generalized T-splines and VMCR T-meshes
- Adaptive local surface refinement based on LR NURBS and its application to contact
- Tchebycheffian spline spaces over planar T-meshes: dimension bounds and dimension instabilities
- Foundations of spline theory: B-splines, spline approximation, and hierarchical refinement
- On the similarities and differences between classical hierarchical, truncated hierarchical and LR B-splines
- Critical length for design purposes and extended Chebyshev spaces
- Polynomial splines over locally refined box-partitions
- Properties of spline spaces over structured hierarchical box partitions
- Linear dependence of bivariate minimal support and locally refined B-splines over LR-meshes
- Scattered data approximation by LR B-spline surfaces: a study on refinement strategies for efficient approximation
- Effective grading refinement for locally linearly independent LR B-splines
- Adaptive refinement with locally linearly independent LR B-splines: theory and applications
- Tchebycheffian B-splines revisited: an introductory exposition
- Critical length: an alternative approach
- Some properties of LR-splines
- Divergence-conforming discretization for Stokes problem on locally refined meshes using LR B-splines
- Tchebycheffian B-splines in isogeometric Galerkin methods
- On the dimension of spline spaces on planar T-meshes
- Isogeometric Analysis
- A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties
- Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines
- Local Hierarchical h-Refinements in IgA Based on Generalized B-Splines
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