DiagPara: volumetric parameterization with energy-minimizing pair of diagonal surfaces from given boundaries

DOI10.1016/j.cam.2024.115943MaRDI QIDQ6572435

Renshu Gu, Xiao-Wei Li, Gang Xu, Jinlan Xu, Hai-Yan Wu, Qinghua Hu

Publication date: 15 July 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

energy minimizationisogeometric analysisvolumetric parameterizationdiagonal surface pair

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

• Efficient construction of multi-block volumetric spline parameterization by discrete mask method
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• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
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• Construction of Bézier surfaces with energy-minimizing diagonal curves from given boundary
• Volumetric spline parameterization for isogeometric analysis
• Isogeometric analysis: an overview and computer implementation aspects
• Dynamic responses of Euler-Bernoulli beam subjected to moving vehicles using isogeometric approach
• Bézier surfaces of minimal area: the Dirichlet approach
• Explicit layout optimization of complex rib-reinforced thin-walled structures via computational conformal mapping (CCM)
• Spline Volume Fairing
• Isogeometric Analysis
• Bézier surfaces with prescribed diagonals

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