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Mathematical Foundations of Adaptive Isogeometric Analysis. [PDF]
Arch Comput Methods Eng, 2022 AbstractThis paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the mathematical theory. This includes an overview of available spline technologies for the local resolution of possible singularities as well as the state-of-the-art formulation of convergence and ...
Buffa A +4 more
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Quadrature-free immersed isogeometric analysis. [PDF]
Eng Comput, 2022 AbstractThis paper presents a novel method for solving partial differential equations on three-dimensional CAD geometries by means of immersed isogeometric discretizations that do not require quadrature schemes. It relies on a newly developed technique for the evaluation of polynomial integrals over spline boundary representations that is exclusively ...
Antolin P, Hirschler T.
europepmc +6 more sources
BPX-Preconditioning for isogeometric analysis [PDF]
Computer Methods in Applied Mechanics and Engineering, 2012 We consider elliptic PDEs (partial differential equations) in the framework of isogeometric analysis, i.e., we treat the physical domain by means of a B-spline or Nurbs mapping which we assume to be regular.
Buffa, Annalisa +3 more
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Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis [PDF]
HeliyonThis study considers Timoshenko beam theory and the isogeometric analysis method to investigate the free vibration and buckling of axially functionally graded (AFG) tapered beams.
Farzad Abdi +6 more
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Isogeometric iFEM Analysis of Thin Shell Structures [PDF]
Sensors, 2020 Shape sensing is one of most crucial components of typical structural health monitoring systems and has become a promising technology for future large-scale engineering structures to achieve significant improvement in their safety, reliability, and ...
Adnan Kefal, Erkan Oterkus
doaj +5 more sources
Isogeometric analysis of wing structures using multipatch parametrization and penalty-based coupling method [PDF]
Scientific ReportsGeometric parametrization and structural analysis play a pivotal role in aircraft structural design. Isogeometric analysis utilizes high-order, high-continuity spline basis functions for field variable discretization, offering superior solution accuracy ...
Dawei Wang +4 more
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Isogeometric boundary element method analysis for dielectric target shape optimization in electromagnetic scattering [PDF]
Science ProgressIn order to optimize the overall form of electromagnetic scattering in two-dimensional dielectric media, this work offers a frequency-domain boundary element method based on isogeometric analysis. The Isogeometric boundary element method (IGABEM) is used
Chengmiao Liu +5 more
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Floating Isogeometric Analysis
Computer Methods in Applied Mechanics and Engineering, 2022 We propose Floating Isogeometric Analysis (FLIGA), which extends the concepts of IGA to Lagrangian extreme deformation analysis. The method is based on a novel tensor-product construction of B-Splines for the update of the basis functions in one direction of the parametric space. With basis functions 'floating' deformation-dependently in this direction,
Helge C. Hille +2 more
openaire +7 more sources
Compressive isogeometric analysis [PDF]
Computers & Mathematics with Applications, 2020 This work is motivated by the difficulty in assembling the Galerkin matrix when solving Partial Differential Equations (PDEs) with Isogeometric Analysis (IGA) using B-splines of moderate-to-high polynomial degree. To mitigate this problem, we propose a novel methodology named CossIGA (COmpreSSive IsoGeometric Analysis), which combines the IGA principle
Simone Brugiapaglia +2 more
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Isogeometric analysis for multi-patch structured Kirchhoff-Love shells [PDF]
Computer Methods in Applied Mechanics and Engineering, 2022 We present an isogeometric method for Kirchhoff-Love shell analysis of shell structures with geometries composed of multiple patches and which possibly possess extraordinary vertices, i.e. vertices with a valency different to four.
A. Farahat +3 more
semanticscholar +1 more source