An Introduction to the Numerical Analysis of Isogeometric Methods

DOI10.1007/978-3-319-32146-2_1zbMath1351.65086OpenAlexW2503383047MaRDI QIDQ5890889

Giancarlo Sangalli, Lourenco Beirão da Veiga, Rafael Vázquez, Annalisa Buffa

Publication date: 13 October 2016

Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32146-2_1

zbMATH Keywords

error estimatesfinite elementsnumerical examplesMaxwell equationsde Rham complexelliptic problemsnon-uniform rational B-splinesisogeometric methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Maxwell equations (35Q61)

Related Items

An improved quadrature scheme in B-spline material point method for large-deformation problem analysis ⋮ A computational comparison between isogeometric analysis and spectral element methods: accuracy and spectral properties ⋮ Scaled boundary isogeometric analysis with \(C^1\) coupling for Kirchhoff plate theory ⋮ IsoGeometric approximations for electromagnetic problems in axisymmetric domains ⋮ The INTERNODES method for the treatment of non-conforming multipatch geometries in isogeometric analysis ⋮ \(\Gamma\)-convergence for high order phase field fracture: continuum and isogeometric formulations

Uses Software

• GeoPDEs
• PetIGA
• Igatools
• IETI

Cites Work

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