Results 11 to 20 of about 4,131 (216)
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 blending for isogeometric analysis [PDF]
Procedia Computer Science, 2017 Abstract We use blended quadrature rules to reduce the phase error of isogeometric analysis discretizations. To explain the observed behavior and quantify the approximation errors, we use the generalized Pythagorean eigenvalue error theorem to account for quadrature errors on the resulting weak forms [28].
Victor M. Calo +2 more
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, 2011 Isogeometric analysis is a versatile tool for failure analysis. On the one hand, the excellent control over the inter-element continuity conditions enables a natural incorporation of continuum constitutive relations that incorporate higher-order strain gradients, as in gradient plasticity or damage.
Verhoosel, C.V. +4 more
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Overlapping Schwarz Methods for Isogeometric Analysis [PDF]
SIAM Journal on Numerical Analysis, 2012 We construct and analyze an overlapping Schwarz preconditioner for elliptic problems discretized with isogeometric analysis. The preconditioner is based on partitioning the domain of the problem into overlapping subdomains, solving local isogeometric problems on these subdomains, and solving an additional coarse isogeometric problem associated with the
L. Beirao da Veiga +3 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 +4 more sources
, 2010 NURBS (Non Uniform Rational B-Spline) curves and surfaces have been used extensively in Computer Aided Design (CAD) in the last two decades but not in Finite Element Analysis (FEA). Isogeometric analysis [6], introduced in 2005 by Hughes [9] proposes to replace traditional Finite Elements with volumetric NURBS.
Dokken, Tor +3 more
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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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Isogeometric Analysis of Wrinkling
Wrinkles are ubiquitous in the world around us. In our daily lives, we encounter wrinkles in various forms, whether in our clothes or on our skin. Wrinkles emerge as a result of a delicate interplay between bending, membrane, and foundation stiffness contributions within membranes.
Verhelst, H.M. (author)
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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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