Isogeometric Boundary ElementAnalysis for 2DTransientHeat Conduction Problem with Radial Integration Method

Chen, Leilei; Li, Kunpeng; Peng, Xuan; Lian, Haojie; Xiao, Lin; Fu, Zhuojia

doi:10.32604/cmes.2021.012821

Cited by 7 publications

(2 citation statements)

References 45 publications

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“…In order to be thorough, this part addresses some of the fundamental NURBS ideas that are the basis of the isogeometric analysis. The readers are directed to [27,45] for further information. The knot vector made up by a collection of non-decreasing real numbers represented as in Equation ( 1) is a key idea in NURBS.…”

Section: Non-uniform Rational B-splines (Nurbs)mentioning

confidence: 99%

Sensitivity Analysis of Underwater Structural-Acoustic Problems Based on Coupled Finite Element Method/Fast Multipole Boundary Element Method with Non-Uniform Rational B-Splines

Cao,

Zhou,

et al. 2024

JMSE

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For the direct differentiation technique-based modeling of acoustic fluid–structure interaction and structural-acoustic sensitivity analysis, a coupling algorithm based on the finite element method (FEM) and the fast multipole boundary element method (FMBEM) is suggested. By bypassing the challenging volume parameterization process in isogeometric finite element techniques and the laborious meshing process in traditional FEM/BEM, non-uniform rational B-splines (NURBS) isogeometric analysis (IGA) is utilized to immediately perform numerical analysis on CAD models. The matrix-vector products in the boundary element analysis are accelerated using the fast multipole method (FMM). To hasten the solution of the linear system of equations, the iterative solver GMRES is used. The numerical prediction of the effects of arbitrarily shaped vibrating structures on the sound field is made feasible by the FEM/FMBEM technique. A number of numerical examples are provided to show the applicability and effectiveness of the suggested approach.

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Section: Non-uniform Rational B-splines (Nurbs)mentioning

confidence: 99%

Sensitivity Analysis of Underwater Structural-Acoustic Problems Based on Coupled Finite Element Method/Fast Multipole Boundary Element Method with Non-Uniform Rational B-Splines

Cao,

Zhou,

et al. 2024

JMSE

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show abstract

“…Te fnite element method (FEM) is a powerful method in vibration analysis. However, the boundary element method (BEM) is superior to FEM in calculating sound waves in exterior domains [44][45][46][47][48][49], as it discretizes only the structural surfaces without truncating the unbounded domain. Terefore, combining these two methods can signifcantly enhance calculation efciency and accuracy [50].…”

Section: Introductionmentioning

confidence: 99%

Uncertainty Quantification of Vibroacoustics with Deep Neural Networks and Catmull–Clark Subdivision Surfaces

Zhou,

Gao,

Cheng

et al. 2024

Shock and Vibration

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This study proposes an uncertainty quantification method based on deep neural networks and Catmull–Clark subdivision surfaces for vibroacoustic problems. The deep neural networks are utilized as a surrogate model to efficiently generate samples for stochastic analysis. The training data are obtained from numerical simulation by coupling the isogeometric finite element method and the isogeometric boundary element method. In the simulation, the geometric models are constructed with Catmull–Clark subdivision surfaces, and meantime, the physical fields are discretized with the same spline functions as used in geometric modelling. Multiple deep neural networks are trained to predict the sound pressure response for various parameters with different numbers and dimensions in vibroacoustic problems. Numerical examples are provided to demonstrate the effectiveness of the proposed method.

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Isogeometric boundary element method for isotropic damage elastic mechanical problems

Kunpeng

Yang

Jiang

et al. 2023

Theoretical and Applied Fracture Mechanics

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Isogeometric Boundary ElementAnalysis for 2DTransientHeat Conduction Problem with Radial Integration Method

Cited by 7 publications

References 45 publications

Sensitivity Analysis of Underwater Structural-Acoustic Problems Based on Coupled Finite Element Method/Fast Multipole Boundary Element Method with Non-Uniform Rational B-Splines

Sensitivity Analysis of Underwater Structural-Acoustic Problems Based on Coupled Finite Element Method/Fast Multipole Boundary Element Method with Non-Uniform Rational B-Splines

Uncertainty Quantification of Vibroacoustics with Deep Neural Networks and Catmull–Clark Subdivision Surfaces

Isogeometric boundary element method for isotropic damage elastic mechanical problems

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