Programming finite element methods with weighted B-splines

DOI10.1016/j.camwa.2015.02.019zbMath1443.65334OpenAlexW1971627301MaRDI QIDQ2006449

Jörg Hörner, Klaus Höllig

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.02.019

zbMATH Keywords

numerical integrationfinite element methodB-splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Numerical integration of discontinuities on arbitrary domains based on moment fitting ⋮ Collocation with WEB-splines ⋮ Higher order approximation of biharmonic problem using the WEB-spline based mesh-free method ⋮ Finite Element Approximation with Hierarchical B-Splines ⋮ WEB-spline finite elements for the approximation of Navier-Lamé system with \(C_{A, B}\) boundary condition ⋮ Isogeometric analysis on implicit domains using weighted extended PHT-splines ⋮ LDG approximation of a nonlinear fractional convection-diffusion equation using B-spline basis functions ⋮ Numerical integration of discontinuous functions: moment fitting and smart octree ⋮ Solving higher order PDEs with isogeometric analysis on implicit domains using weighted extended THB-splines ⋮ Numerical integration over implicitly defined domains with topological guarantee ⋮ Mesh-free Galerkin approximation for parabolic nonlocal problem using web-splines

Uses Software

• UNCMND
• pchip

Cites Work

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• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• A practical guide to splines
• Multigrid methods with web-splines
• Weighted Extended B-Spline Approximation of Dirichlet Problems
• Stirling's Approximation for n!: The Ultimate Short Proof?
• Finite Element Analysis with B-Splines: Weighted and Isogeometric Methods
• Isogeometric Analysis
• Finite Element Methods with B-Splines
• Parallel Finite Element Methods with Weighted Linear B-Splines