Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach
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Publication:2180444
DOI10.1016/j.cma.2020.112925zbMath1442.65356arXiv1910.03882OpenAlexW3008994111MaRDI QIDQ2180444
Annalisa Buffa, Rafael Vázquez, Luca Coradello, Pablo Antolin
Publication date: 14 May 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.03882
adaptivitya posteriori error estimatortrimmingisogeometric analysisKirchhoff-Love shelltruncated hierarchical B-splines
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
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- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- 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
- A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
- Isogeometric analysis using T-splines
- Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
- Isogeometric shell analysis with Kirchhoff-Love elements
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Stress projection for membrane and shear locking in shell finite elements
- A posteriori error estimation in finite element analysis
- Complexity of hierarchical refinement for a class of admissible mesh configurations
- Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
- Analysis in computer aided design: nonlinear isogeometric B-Rep analysis of shell structures
- Polynomial splines over locally refined box-partitions
- Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format
- Suitably graded THB-spline refinement and coarsening: towards an adaptive isogeometric analysis of additive manufacturing processes
- Isogeometric analysis on V-reps: first results
- Solving higher order PDEs with isogeometric analysis on implicit domains using weighted extended THB-splines
- Refinement algorithms for adaptive isogeometric methods with hierarchical splines
- Condition number analysis and preconditioning of the finite cell method
- A hierarchical approach to the \textit{a posteriori} error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells
- Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth
- Improved conditioning of isogeometric analysis matrices for trimmed geometries
- Projection and transfer operators in adaptive isogeometric analysis with hierarchical B-splines
- THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
- Some properties of LR-splines
- Multigrid solvers for immersed finite element methods and immersed isogeometric analysis
- ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES
- Finite Element Approximation with Hierarchical B-Splines
- Finite Element Analysis with B-Splines: Weighted and Isogeometric Methods
- A Posteriori Error Estimates Based on Hierarchical Bases
- Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates
- Isogeometric Analysis
- Mathematical analysis of variational isogeometric methods
- Finite Element Methods with B-Splines
- A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
