A posteriori error estimators for hierarchical B-spline discretizations
From MaRDI portal
Publication:4961316
DOI10.1142/S0218202518500392zbMath1398.65291arXiv1611.07816OpenAlexW2552210345MaRDI QIDQ4961316
Eduardo M. Garau, Annalisa Buffa
Publication date: 26 October 2018
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.07816
Numerical computation using splines (65D07) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Rate of convergence, degree of approximation (41A25)
Related Items
Adaptive isogeometric methods with hierarchical splines: an overview ⋮ Analysis-aware defeaturing: Problem setting and a posteriori estimation ⋮ Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines ⋮ A new perspective on hierarchical spline spaces for adaptivity ⋮ Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines ⋮ Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates ⋮ Adaptive IGAFEM with optimal convergence rates: T-splines ⋮ Adaptive extended isogeometric analysis based on PHT-splines for thin cracked plates and shells with Kirchhoff-Love theory ⋮ \textit{A posteriori} error estimation for isogeometric analysis using the concept of constitutive relation error ⋮ Vibration and buckling analyses of FGM plates with multiple internal defects using XIGA-PHT and FCM under thermal and mechanical loads ⋮ Refinement algorithms for adaptive isogeometric methods with hierarchical splines ⋮ A hierarchical approach to the \textit{a posteriori} error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- Local refinement of analysis-suitable T-splines
- THB-splines: The truncated basis for hierarchical splines
- Strongly stable bases for adaptively refined multilevel spline spaces
- Isogeometric analysis using LR B-splines
- Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations
- Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
- Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations
- Efficient matrix computation for tensor-product isogeometric analysis: the use of sum factorization
- Adaptive finite element methods with convergence rates
- Polynomial splines over locally refined box-partitions
- Guaranteed and sharp a posteriori error estimates in isogeometric analysis
- Simple a posteriori error estimators in adaptive isogeometric analysis
- Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis
- Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes
- Hierarchical spline spaces: quasi-interpolants and local approximation estimates
- Some properties of LR-splines
- On Polya frequency functions. IV: The fundamental spline functions and their limits
- Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
- ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES
- Primer of Adaptive Finite Element Methods
- Explicit Upper Bounds for Dual Norms of Residuals
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines
- Isogeometric Analysis
- Refinable spaces and local approximation estimates for hierarchical splines
- Local problems on stars: A posteriori error estimators, convergence, and performance
- The completion of locally refined simplicial partitions created by bisection
- ESTIMATES OF BEST CONSTANTS FOR WEIGHTED POINCARÉ INEQUALITIES ON CONVEX DOMAINS
- Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems
- A practical guide to splines.
