B-spline patches and transfinite interpolation method for PDE controlled simulation

DOI10.1007/s11424-012-1148-4zbMath1307.65168OpenAlexW1971400193MaRDI QIDQ488900

Yuanjie Liu, Hong-Bo Li

Publication date: 27 January 2015

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-012-1148-4

zbMATH Keywords

finite element methodnumerical examplesPoisson equationB-spline representationtransfinite interpolationrational basis functionweighted extended B-spline method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• A practical guide to splines
• Meshless methods: An overview and recent developments
• Discrete Coons patches
• Weighted Extended B-Spline Approximation of Dirichlet Problems
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