Results 11 to 20 of about 677 (183)
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.
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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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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
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SoftIGA: Soft isogeometric analysis
Computer Methods in Applied Mechanics and Engineering, 2023 We extend the softFEM idea to isogeometric analysis (IGA) to reduce the stiffness (consequently, the condition numbers) of the IGA discretized problem. We refer to the resulting approximation technique as softIGA. We obtain the resulting discretization by first removing the IGA spectral outliers to reduce the system's stiffness.
Deng, Quanling +2 more
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Enhanced Floating Isogeometric Analysis
Computer Methods in Applied Mechanics and Engineering, 2023 The numerical simulation of additive manufacturing techniques promises the acceleration of costly experimental procedures to identify suitable process parameters. We recently proposed Floating Isogeometric Analysis (FLIGA), a new computational solid mechanics approach, which is mesh distortion-free in one characteristic spatial direction.
Helge C. Hille +2 more
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Igatools: An Isogeometric Analysis Library [PDF]
SIAM Journal on Scientific Computing, 2015 Summary: We present the design of an object oriented general purpose library for isogeometric analysis, where the mathematical concepts of the isogeometric method and their relationships are directly mapped into classes and their interactions. The encapsulation of mathematical concepts into interacting building blocks gives flexibility to use the ...
M. Sebastian Pauletti +3 more
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Isogeometric iFEM Analysis of Thin Shell Structures
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
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SoftwareX, 2020 In this article, we present Bembel, the C++ library featuring higher order isogeometric Galerkin boundary element methods for Laplace, Helmholtz, and Maxwell problems.
J. Dölz +5 more
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Isogeometric treatment of large deformation contact and debonding problems with T-splines: a review
Curved and Layered Structures, 2015 Within a setting where the isogeometric analysis (IGA) has been successful at bringing two different research fields together, i.e. Computer Aided Design (CAD) and numerical analysis, T-spline IGA is applied in this work to frictionless contact and mode ...
Dimitri Rossana
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