Solid T-spline construction from boundary representations for genus-zero geometry
From MaRDI portal
Publication:337897
DOI10.1016/j.cma.2012.01.014zbMath1348.65057OpenAlexW2137312224MaRDI QIDQ337897
Wenyan Wang, Thomas J. R. Hughes, Yongjie Jessica Zhang
Publication date: 3 November 2016
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.2012.01.014
Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items
Penalty function-based volumetric parameterization method for isogeometric analysis, A survey on the local refinable splines, Constructing B-spline solids from tetrahedral meshes for isogeometric analysis, IGA-suitable planar parameterization with patch structure simplification of closed-form polysquare, TCB-spline-based isogeometric analysis method with high-quality parameterizations, Weighted T-splines with application in reparameterizing trimmed NURBS surfaces, Computing IGA-suitable planar parameterizations by polysquare-enhanced domain partition, Exact conversion from Bézier tetrahedra to Bézier hexahedra, Isogeometric analysis with strong multipatch \(C^{1}\)-coupling, Low-rank parameterization of planar domains for isogeometric analysis, The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models, Adaptive refinement for unstructured T-splines with linear complexity, An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces, Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method, Conformal solid T-spline construction from boundary T-spline representations, Integrating CAD with Abaqus: a practical isogeometric analysis software platform for industrial applications, Constructing planar domain parameterization with HB-splines via quasi-conformal mapping, Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis, Constructing volumetric parameterization based on directed graph simplification of \(\ell_1\) polycube structure from complex shapes, Effective re-parameterization and GA based knot structure optimization for high quality T-spline surface fitting, Volumetric spline parameterization for isogeometric analysis, Refinement for a hybrid boundary representation and its hybrid volume completion, Triangulation-based isogeometric analysis of the Cahn-Hilliard phase-field model, Strong multipatch \(C^1\)-coupling for isogeometric analysis on 2D and 3D domains, Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA, Spline-based space-time finite element approach for fluid-structure interaction problems with a focus on fully enclosed domains, Isogeometric collocation using analysis-suitable T-splines of arbitrary degree, Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications, NLIGA: a MATLAB framework for nonlinear isogeometric analysis, On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration, A collocatedC0finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics, Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry, \(G^1\)-smooth planar parameterization of complex domains for isogeometric analysis, A trivariate T-spline based framework for modeling heterogeneous solids, Rhino 3D to Abaqus: A T-Spline Based Isogeometric Analysis Software Framework, Stabilized isogeometric formulation of the Stokes problem on overlapping patches, Efficient \(r\)-adaptive isogeometric analysis with Winslow's mapping and monitor function approach, A hybrid IGAFEM/IGABEM formulation for two-dimensional stationary magnetic and magneto-mechanical field problems, A goal-oriented error estimator for the analysis of simplified designs, Isogeometric least-squares collocation method with consistency and convergence analysis, Reproducing kernel triangular B-spline-based FEM for solving PDEs, Isogeometric analysis: an overview and computer implementation aspects, High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods, Efficient construction of multi-block volumetric spline parameterization by discrete mask method, Planar multi-patch domain parameterization for isogeometric analysis based on evolution of fat skeleton, Porous scaffold design by solid T-splines and triply periodic minimal surfaces, Generating high-quality high-order parameterization for isogeometric analysis on triangulations, A new isogeometric topology optimization using moving morphable components based on R-functions and collocation schemes, Automatic generators of multi-patch B-spline meshes of blade cascades and their comparison, The convergence of least-squares progressive iterative approximation for singular least-squares fitting system, Trivariate spline representations for computer aided design and additive manufacturing, An interactive geometry modeling and parametric design platform for isogeometric analysis, Computing planar and volumetric B-spline parameterizations for IGA by robust mapping fitting, Mesh quality metrics for isogeometric Bernstein-Bézier discretizations, Adaptive \(w\)-refinement: a new paradigm in isogeometric analysis, A priori penalty factor determination for (trimmed) NURBS-based shells with Dirichlet and coupling constraints in isogeometric analysis, Mathematical analysis of variational isogeometric methods, Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights, Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations, An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics, NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding, Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations, Isogeometric collocation for phase-field fracture models, Three-dimensional isogeometrically enriched finite elements for frictional contact and mixed-mode debonding, Isogeometric analysis for CSG models, The Generation of 3D Trimmed Elements for NURBS-Based Isogeometric Analysis, A consistently coupled isogeometric-meshfree method, Isogeometric analysis-suitable trivariate NURBS models from standard B-Rep models, B++ splines with applications to isogeometric analysis, Towards an automatic isogeometric analysis suitable trivariate models generation -- application to geometric parametric analysis, Isogeometric analysis with Bézier tetrahedra, Reproducing kernel formulation of B-spline and NURBS basis functions: a meshfree local refinement strategy for isogeometric analysis, Spline parameterization method for 2D and 3D geometries based on T-mesh optimization, Explicit isogeometric topology optimization using moving morphable components, Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization, Initial solution estimation for one-step inverse isogeometric analysis in sheet metal stamping, A numerical simulation study of the dual role of \(5\alpha\)-reductase inhibitors on tumor growth in prostates enlarged by benign prostatic hyperplasia via stress relaxation and apoptosis upregulation, Fluid-structure interaction with NURBS-based coupling, Efficient CAD-integrated isogeometric analysis of trimmed solids, HexGen and Hex2Spline: polycube-based hexahedral mesh generation and spline modeling for isogeometric analysis applications in LS-DYNA, HexDom: polycube-based hexahedral-dominant mesh generation, Overlapping Multipatch Isogeometric Method with Minimal Stabilization, U-splines: splines over unstructured meshes, Volumetric parameterization with truncated hierarchical B-splines for isogeometric analysis, Heat transfer augmentation in microchannel heat sink based on isogeometric topology optimization framework
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A note on two problems in connexion with graphs
- Converting an unstructured quadrilateral mesh to a standard T-spline surface
- Volumetric parameterization and trivariate B-spline fitting using harmonic functions
- Isogeometric analysis using T-splines
- A new approach to solid modeling with trivariate T-splines based on mesh optimization
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Parametrization and smooth approximation of surface triangulations
- Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline
- Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow
- Volumetric harmonic map
- Isogeometric finite element data structures based on Bézier extraction of NURBS
- Isogeometric finite element data structures based on Bézier extraction of T-splines
- Quality improvement of non-manifold hexahedral meshes for critical feature determination of microstructure materials
- Surface smoothing and quality improvement of quadrilateral/hexahedral meshes with geometric flow
- Swept Volume Parameterization for Isogeometric Analysis
- Mesh Parameterization Methods and Their Applications