Simple a posteriori error estimators in adaptive isogeometric analysis
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Publication:2006456
DOI10.1016/j.camwa.2015.05.031zbMath1443.65355OpenAlexW582123556MaRDI QIDQ2006456
Kjetil André Johannessen, Trond Kvamsdal, Mukesh Kumar
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.05.031
adaptivitya posteriori error estimationisogeometric analysisNURBSLR B-splineslocal \(h\)-refinements
Numerical computation using splines (65D07) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Uses Software
Cites Work
- A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- Characterization of T-splines with reduced continuity order on T-meshes
- Anisotropic NURBS approximation in isogeometric analysis
- Local refinement of analysis-suitable T-splines
- THB-splines: The truncated basis for hierarchical splines
- Goal-adaptive isogeometric analysis with hierarchical splines
- Isogeometric spline forests
- Isogeometric analysis using LR B-splines
- Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis
- Isogeometric analysis using T-splines
- Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
- Efficient quadrature for NURBS-based isogeometric analysis
- Adaptive finite element methods for elliptic equations over hierarchical T-meshes
- Parameterization of computational domain in isogeometric analysis: methods and comparison
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Convergence of simple adaptive Galerkin schemes based on \(h - h/2\) error estimators
- Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
- Variationally consistent domain integration for isogeometric analysis
- Selective and reduced numerical integrations for NURBS-based isogeometric analysis
- Polynomial splines over locally refined box-partitions
- Some properties of LR-splines
- Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
- A Posteriori Error Estimates Based on Hierarchical Bases
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Isogeometric Analysis
- Mathematical analysis of variational isogeometric methods
- Finite Element Methods with B-Splines
- A posteriori error estimation for variational problems with uniformly convex functionals
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
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