Enhancing isogeometric analysis by a finite element-based local refinement strategy

DOI10.1016/j.cma.2011.11.013zbMath1243.65139OpenAlexW2082264162MaRDI QIDQ438132

Stefan K. Kleiss, Walter Zulehner, Bert Jüttler

Publication date: 20 July 2012

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.2011.11.013

zbMATH Keywords

local refinementadaptive refinementisogeometric analysisNURBST-mesh

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Meshfree truncated hierarchical refinement for isogeometric analysis, Meshfree analysis with the aid of NURBS boundary, Bézier extraction and adaptive refinement of truncated hierarchical NURBS, A performance study of NURBS-based isogeometric analysis for interior two-dimensional time-harmonic acoustics, Isogeometric analysis and applications 2014. Selected papers based on the presentations at the IGAA 2014, Annweiler am Trifels, Germany, April 7--10, 2014, THB-splines: The truncated basis for hierarchical splines, Strongly stable bases for adaptively refined multilevel spline spaces, Goal-adaptive isogeometric analysis with hierarchical splines, A point to segment contact formulation for isogeometric, NURBS based finite elements, From NURBS to NURPS geometries, Isogeometric analysis: an overview and computer implementation aspects, IETI -- isogeometric tearing and interconnecting, Modified PHT-splines, An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics, An extended isogeometric thin shell analysis based on Kirchhoff-love theory, Integration of localized surface geometry in fully parameterized ANCF finite elements, Modified basis functions for MPHT-splines, Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes, Isogeometric contact: a review

Uses Software

• ISOGAT

Cites Work

• Generalized B-splines as a tool in isogeometric analysis
• Isogeometric analysis in electromagnetics: B-splines approximation
• Isogeometric analysis using T-splines
• Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
• Efficient quadrature for NURBS-based isogeometric analysis
• Robustness of isogeometric structural discretizations under severe mesh distortion
• Numerical efficiency, locking and unlocking of NURBS finite elements
• Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
• Isogeometric analysis for trimmed CAD surfaces
• Linear independence of the T-spline blending functions associated with some particular T-meshes
• A fully ``locking-free isogeometric approach for plane linear elasticity problems: a stream function formulation
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Isogeometric analysis of structural vibrations
• Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
• The role of continuity in residual-based variational multiscale modeling of turbulence
• Studies of refinement and continuity in isogeometric structural analysis
• Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow
• Dimensions of spline spaces over T-meshes
• A Posteriori Error Estimates Based on Hierarchical Bases
• Approximation of Cahn-Hilliard diffuse interface models using parallel adaptive mesh refinement and coarsening withC¹elements
• T‐spline finite element method for the analysis of shell structures
• Some remarks on the history and future of averaging techniques in a posteriori finite element error analysis
• ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item