Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super-geometric analysis to Geometry-Independent Field approximaTion (GIFT)
From MaRDI portal
Publication:6569253
DOI10.1002/nme.5778zbMATH Open1548.7476MaRDI QIDQ6569253
Stéphane Pierre Alain Bordas, Satyendra Tomar, Elena Atroshchenko, Gang Xu
Publication date: 8 July 2024
Published in: International Journal for Numerical Methods in 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A survey on the local refinable splines
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- A two-dimensional isogeometric boundary element method for elastostatic analysis
- Local refinement of analysis-suitable T-splines
- THB-splines: The truncated basis for hierarchical splines
- Acoustic isogeometric boundary element analysis
- Isogeometric boundary element analysis using unstructured T-splines
- Isogeometric analysis in electromagnetics: B-splines approximation
- Isogeometric shell analysis: the Reissner-Mindlin shell
- Isogeometric analysis using T-splines on two-patch geometries
- Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
- Isogeometric fluid-structure interaction: Theory, algorithms, and computations
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Shape optimization and its extension to topological design based on isogeometric analysis
- A refinable space of smooth spline surfaces of arbitrary topological genus
- Nitsche method for isogeometric analysis of Reissner-Mindlin plate with non-conforming multi-patches
- Characterization of analysis-suitable T-splines
- Refinable \(C^1\) spline elements for irregular quad layout
- On degree elevation of T-splines
- Fast isogeometric boundary element method based on independent field approximation
- A simple approach to the numerical simulation with trimmed CAD surfaces
- Isogeometric analysis: an overview and computer implementation aspects
- Isogeometric boundary element analysis with elasto-plastic inclusions. I: Plane problems
- Isogeometric boundary element analysis with elasto-plastic inclusions. II: 3-D problems
- Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth
- A robust patch coupling method for NURBS-based isogeometric analysis of non-conforming multipatch surfaces
- Shape optimization directly from CAD: an isogeometric boundary element approach using T-splines
- Isogeometric boundary element analysis of steady incompressible viscous flow. I: Plane problems
- Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations
- THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
- Nitsche's method for two and three dimensional NURBS patch coupling
- ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES
- X-FEM in isogeometric analysis for linear fracture mechanics
- Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity
- The limitations of the patch test
- Advanced Numerical Simulation Methods
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
Related Items (4)
A novel isogeometric scaled boundary finite element method for bending and free vibration analyses of laminated plates with rectilinear and curvilinear fibers constrained or free from elastic foundations ⋮ The semianalytical analysis of nearly singular integrals in potential problem by isogeometric boundary element method ⋮ Framework of acoustic analysis and shape optimization for three-dimensional doubly periodic multilayered structures ⋮ The convergence analysis of a class of stabilized semi-implicit isogeometric methods for the Cahn-Hilliard equation
This page was built for publication: Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super-geometric analysis to Geometry-Independent Field approximaTion (GIFT)
