Bounding the influence of domain parameterization and knot spacing on numerical stability in isogeometric analysis

DOI10.1016/j.cma.2013.09.019zbMath1295.65116OpenAlexW1987671130MaRDI QIDQ741946

Bert Jüttler, Elisabeth Pilgerstorfer

Publication date: 16 September 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.2013.09.019

zbMATH Keywords

condition numbernumerical stabilityisogeometric analysisdomain parameterizationknot spacingquality measure

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 (30)

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Uses Software

• ISOGAT
• FEAPpv

Cites Work

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• Existence of stiffness matrix integrals for singularly parameterized domains in isogeometric analysis
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• Volumetric parameterization and trivariate B-spline fitting using harmonic functions
• Efficient quadrature for NURBS-based isogeometric analysis
• Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis
• Robustness of isogeometric structural discretizations under severe mesh distortion
• Isogeometric shape optimization of vibrating membranes
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• Full analytical sensitivities in NURBS based isogeometric shape optimization
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Shape optimization and its extension to topological design based on isogeometric analysis
• A practical guide to splines
• Bézier and B-spline techniques
• Isogeometric structural shape optimization
• On Mesh Geometry and Stiffness Matrix Conditioning for General Finite Element Spaces
• Swept Volume Parameterization for Isogeometric Analysis
• The Monotonicity Theorem, Cauchy's Interlace Theorem, and the Courant- Fischer Theorem
• On the Conditioning of Finite Element Equations with Highly Refined Meshes
• Bounds for eigenvalues and condition numbers in the 𝑝-version of the finite element method
• Isogeometric Analysis
• ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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