Mapping techniques for isogeometric analysis of elliptic boundary value problems containing singularities

DOI10.1016/j.cma.2012.09.009zbMath1297.65156OpenAlexW2157640173MaRDI QIDQ465752

Hyunju Kim, Jae Woo Jeong, Hae-Soo Oh, Sunbu Kang

Publication date: 24 October 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2012.09.009

zbMATH Keywords

control pointsB-spline basis functionsisogeometric analysisknot vectorsmapping techniquesNURBS geometrical mapping

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (11)

Convergence rates for solving elliptic boundary value problems with singular parameterizations in isogeometric analysis ⋮ Enriched isogeometric analysis of elliptic boundary value problems in domains with cracks and/or corners ⋮ Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems ⋮ Extraction formulas of stress intensity factors for the biharmonic equations containing crack singularities ⋮ Numerical solutions of biharmonic equations on non-convex polygonal domains ⋮ Isogeometric analysis and applications 2014. Selected papers based on the presentations at the IGAA 2014, Annweiler am Trifels, Germany, April 7--10, 2014 ⋮ Mapped B-spline basis functions for shape design and isogeometric analysis over an arbitrary parameterization ⋮ A structured grid based B-spline finite elements method combining local isogeometry analysis technique for crack problems ⋮ Graded parametric CutFEM and CutIGA for elliptic boundary value problems in domains with corners ⋮ Mesh grading in isogeometric analysis ⋮ Parametric mesh regularization for interpolatory shape design and isogeometric analysis over a mesh of arbitrary topology

Cites Work

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