Subdivision-based isogeometric analysis for second order partial differential equations on surfaces

DOI10.1007/s00466-021-02065-7zbMath1501.76063OpenAlexW3190412690WikidataQ113326645 ScholiaQ113326645MaRDI QIDQ2667315

Xiao-Feng Yang, Qing Pan, Timon Rabczuk

Publication date: 24 November 2021

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-021-02065-7

zbMATH Keywords

Laplace-Beltrami equationCahn-Allen equationextended Catmull-Clark subdivisiona priori interpolation error estimateLaplace-Beltrami eigenvalue equation

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Basic methods in fluid mechanics (76M99) Isogeometric methods applied to problems in solid mechanics (74S22)

Related Items (8)

Penalty function-based volumetric parameterization method for isogeometric analysis ⋮ On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration ⋮ A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces ⋮ Numerical algorithms of subdivision-based IGA-EIEQ method for the molecular beam epitaxial growth models on complex surfaces ⋮ The subdivision-based IGA-EIEQ numerical scheme for the binary surfactant Cahn-Hilliard phase-field model on complex curved surfaces ⋮ The subdivision-based IGA-EIEQ numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow on complex curved surfaces ⋮ An adaptive BDF2 implicit time-stepping method for the no-slope-selection epitaxial thin film model ⋮ Annihilation operators for exponential spaces in subdivision

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