Results 11 to 20 of about 25,253,049 (241)
A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis [PDF]
Computer Methods in Applied Mechanics and Engineering, 2022 Explicit time integration schemes coupled with Galerkin discretizations of time-dependent partial differential equations require solving a linear system with the mass matrix at each time step.
Yannis Voet, Espen Sande, A. Buffa
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XIGA: An eXtended IsoGeometric analysis approach for multi-material problems [PDF]
Computational Mechanics, 2022 Multi-material problems often exhibit complex geometries along with physical responses presenting large spatial gradients or discontinuities. In these cases, providing high-quality body-fitted finite element analysis meshes and obtaining accurate ...
L. Noel +4 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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An approximate C1 multi-patch space for isogeometric analysis with a comparison to Nitsche's method [PDF]
Computer Methods in Applied Mechanics and Engineering, 2022 We present an approximately $C^1$-smooth multi-patch spline construction which can be used in isogeometric analysis (IGA). A key property of IGA is that it is simple to achieve high order smoothness within a single patch.
Pascal Weinmüller, T. Takacs
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Mathematics, 2022 In this study, a Monte Carlo simulation (MCs)-based isogeometric stochastic Finite Element Method (FEM) is proposed for uncertainty quantification in the vibration analysis of piezoelectric materials.
Yanming Xu +4 more
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Computational Aerodynamics With Isogeometric Analysis
Journal of Mechanics, 2023 The superior accuracy isogeometric analysis (IGA) brought to computations in fluid and solid mechanics has been yielding higher fidelity in computational aerodynamics.
Y. Bazilevs +5 more
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Isogeometric Topology Optimization of Continuum Structures using an Evolutionary Algorithm [PDF]
Journal of Applied and Computational Mechanics, 2019 Topology optimization has been an interesting area of research in recent years. The main focus of this paper is to use an evolutionary swarm intelligence algorithm to perform Isogeometric Topology optimization of continuum structures. A two-dimensional
N.S.S. Sahithi, K.N.V. Chandrasekhar
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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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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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Size-Dependent Buckling Analysis of Microbeams by an Analytical Solution and Isogeometric Analysis
Crystals, 2022 This paper proposes an analytical solution and isogeometric analysis numerical approach for buckling analysis of size-dependent beams based on a reformulated strain gradient elasticity theory (RSGET).
Shuohui Yin +4 more
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