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Analysis-Suitable T-splines are Dual-Compatible [PDF]
Computer Methods in Applied Mechanics and Engineering, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giancarlo Sangalli +2 more
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Analysis-suitable unstructured T-splines: Multiple extraordinary points per face [PDF]
Computer Methods in Applied Mechanics and Engineering, 2022 Analysis-suitable T-splines (AST-splines) are a promising candidate to achieve a seamless integration between the design and the analysis of thin-walled structures in industrial settings. In this work, we generalize AST-splines to allow multiple extraordinary points within the same face.
Thomas J R Hughes +2 more
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Computational Costs of Multi-Frontal Direct Solvers with Analysis-Suitable T-Splines [PDF]
Symmetry, 2020 In this paper, we consider the computational cost of a multi-frontal direct solver used for the factorization of matrices resulting from a discretization of isogeometric analysis with T-splines, and analysis-suitable T-splines. We start from model projection or model heat transfer problems discretized over two-dimensional meshes, either uniformly ...
Maciej Paszynski +2 more
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de Boor-like evaluation algorithm for Analysis-suitable T-splines
Graphical Models, 2019 Abstract Analysis-suitable T-splines form a practically useful subset of T-splines. They maintain the design flexibility of T-splines with an efficient and highly localized refinement capability, while preserving the important analysis-suitable mathematical properties of the NURBS basis.
, Hongmei Kang
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Computer Methods in Applied Mechanics and Engineering, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas J R Hughes +2 more
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Analysis‐Suitable T‐Splines of arbitrary degree and dimension [PDF]
PAMM, 2021 AbstractThis paper defines analysis‐suitable T‐splines for arbitrary degree (including even and mixed degrees) and arbitrary dimension. We generalize the concept of anchor elements known from the two‐dimensional setting, extend two existing concepts of analysis‐suitability and justify their sufficiency for linear independence of the T‐spline basis.
Morgenstern, Philipp, Görmer, Robin
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Linear Independence of T-Spline Blending Functions of Degree One for Isogeometric Analysis
Mathematics, 2021 Linear independence of the blending functions is a necessary requirement for T-spline in isogeometric analysis. The main work in this paper focuses on the analysis about T-splines of degree one, we demonstrate that all the blending functions of such T ...
Aizeng Wang +6 more
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Multivariate Analysis-Suitable T-Splines of Arbitrary Degree
Computational Methods in Applied Mathematics, 2023 Abstract This paper defines analysis-suitable T-splines for arbitrary degree (including even and mixed degrees) and arbitrary dimension. We generalize the concept of anchor elements known from the two-dimensional setting, extend existing concepts of analysis-suitability and show their sufficiency for linearly independent T-splines.
Robin Hiniborch, Philipp Morgenstern
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Analysis-suitable T-splines: Characterization, refineability, and approximation [PDF]
Mathematical Models and Methods in Applied Sciences, 2014 We establish several fundamental properties of analysis-suitable T-splines which are important for design and analysis. First, we characterize T-spline spaces and prove that the space of smooth bicubic polynomials, defined over the extended T-mesh of an analysis-suitable T-spline, is contained in the corresponding analysis-suitable T-spline space ...
Xin Li 0021, Michael A. Scott
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Hierarchical T-splines: Analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis [PDF]
Computer Methods in Applied Mechanics and Engineering, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Evans, E. J. +3 more
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