Adaptive \(w\)-refinement: a new paradigm in isogeometric analysis
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Publication:2021207
DOI10.1016/j.cma.2020.113180zbMath1506.65228OpenAlexW3035120380MaRDI QIDQ2021207
Krishnan Suresh, Alireza H. Taheri
Publication date: 26 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.113180
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
- Unnamed Item
- A survey on the local refinable splines
- A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms
- A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
- Solid T-spline construction from boundary representations for genus-zero geometry
- Conformal solid T-spline construction from boundary T-spline representations
- Converting an unstructured quadrilateral mesh to a standard T-spline surface
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- Anisotropic NURBS approximation in isogeometric analysis
- Local refinement of analysis-suitable T-splines
- Isogeometric analysis using LR B-splines
- Breaking spaces and forms for the DPG method and applications including Maxwell equations
- Quasi-interpolation in isogeometric analysis based on generalized B-splines
- Isogeometric analysis using T-splines
- Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
- Efficient quadrature for NURBS-based isogeometric analysis
- Parameterization of computational domain in isogeometric analysis: methods and comparison
- An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions
- An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry
- Imposing essential boundary conditions in mesh-free methods
- Splines and PDEs: from approximation theory to numerical linear algebra. Lecture notes from the summer school, Cetraro, Italy, July 2--7, 2017
- Some identities for product and degree raising of splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Hybrid-degree weighted T-splines and their application in isogeometric analysis
- Integrating CAD with Abaqus: a practical isogeometric analysis software platform for industrial applications
- Truncated hierarchical tricubic \(C^0\) spline construction on unstructured hexahedral meshes for isogeometric analysis applications
- Isogeometric analysis on implicit domains using weighted extended PHT-splines
- Truncated hierarchical Catmull-Clark subdivision with local refinement
- Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
- Variationally consistent domain integration for isogeometric analysis
- Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline
- Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis
- Hybrid non-uniform recursive subdivision with improved convergence rates
- Weak Dirichlet boundary conditions for trimmed thin isogeometric shells
- Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines
- Truncated T-splines: fundamentals and methods
- Fast formation of isogeometric Galerkin matrices by weighted quadrature
- Adaptive isogeometric analysis with hierarchical box splines
- Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis
- Extended truncated hierarchical Catmull-Clark subdivision
- THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
- Isogeometric collocation using analysis-suitable T-splines of arbitrary degree
- Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis
- Blending NURBS and Lagrangian representations in isogeometric analysis
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method
- Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
- Isogeometric Analysis
- Computing a chain of blossoms, with application to products of splines
- The use of rational functions in numerical quadrature
