Blending spline surfaces over polygon mesh and their application to isogeometric analysis

DOI10.1016/j.camwa.2023.08.028OpenAlexW4386619244MaRDI QIDQ6048993

Tatiana Kravetc

Publication date: 13 October 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.08.028

zbMATH Keywords

isogeometric analysispolygonal finite elementsblending splinesexpo-rational basis functions

Mathematics Subject Classification ID

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) Numerical interpolation (65D05) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
• Isogeometric fluid-structure interaction: Theory, algorithms, and computations
• Extended finite element method on polygonal and quadtree meshes
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Isogeometric analysis of structural vibrations
• Studies of refinement and continuity in isogeometric structural analysis
• Ribbon-based transfinite surfaces
• A brief review on polygonal/polyhedral finite element methods
• NURBS-based postbuckling analysis of functionally graded carbon nanotube-reinforced composite shells
• Polytopal composite finite elements
• Isogeometric analysis for turbulent flow
• Isogeometric analysis using a tensor product blending spline construction
• Finite element application of ERBS extraction
• A novel three-variable shear deformation plate formulation: theory and isogeometric implementation
• Reproducing kernel triangular B-spline-based FEM for solving PDEs
• Isogeometric analysis of the Cahn-Hilliard phase-field model
• Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation
• Gradient correction for polygonal and polyhedral finite elements
• The inf-sup test
• The patch test—a condition for assessing FEM convergence
• Least squares quantization in PCM
• SMOOTH SPLINE BLENDING SURFACE APPROXIMATION OVER A TRIANGULATED IRREGULAR NETWORK
• Generalized barycentric coordinates and applications
• FINITE ELEMENT METHODS BASED ON GENERALIZED EXPO-RATIONAL B-SPLINES WITH HARMONIC POLYNOMIAL COEFFICIENTS
• ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
• Conforming polygonal finite elements

This page was built for publication: Blending spline surfaces over polygon mesh and their application to isogeometric analysis