Isogeometric collocation methods with generalized B-splines (Q2006461)

scientific article; zbMATH DE number 7258641

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English	Isogeometric collocation methods with generalized B-splines	scientific article; zbMATH DE number 7258641

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instance of

scholarly article

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title

Isogeometric collocation methods with generalized B-splines (English)

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11 October 2020

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zbMATH Keywords

isogeometric analysis

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generalized B-splines

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collocation methods

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describes a project that uses

ISOGAT

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.camwa.2015.03.027

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cites work

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Isogeometric Analysis

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Assumed natural strain NURBS-based solid-shell element for the analysis of large deformation elasto-plastic thin-shell structures

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\(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements

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Patient-specific isogeometric structural analysis of aortic valve closure

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Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows

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Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes

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Isogeometric analysis of the Cahn-Hilliard phase-field model

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Isogeometric shell analysis with Kirchhoff-Love elements

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A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis

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Efficient quadrature for NURBS-based isogeometric analysis

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Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis

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ISOGEOMETRIC COLLOCATION METHODS

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Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations

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Isogeometric collocation for elastostatics and explicit dynamics

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Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models

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Isogeometric collocation: Neumann boundary conditions and contact

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An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates

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Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods

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Locking-free isogeometric collocation methods for spatial Timoshenko rods

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Isogeometric collocation methods for the Reissner-Mindlin plate problem

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Single-variable formulations and isogeometric discretizations for shear deformable beams

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Robust and optimal multi-iterative techniques for Iga collocation linear systems

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Isogeometric analysis using T-splines

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Analysis-suitable T-splines are dual-compatible

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Analysis-suitable T-splines: Characterization, refineability, and approximation

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THB-splines: The truncated basis for hierarchical splines

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Strongly stable bases for adaptively refined multilevel spline spaces

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A hierarchical approach to adaptive local refinement in isogeometric analysis

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Polynomial splines over locally refined box-partitions

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Isogeometric analysis using LR B-splines

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A subdivision-based implementation of the hierarchical b-spline finite element method

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From NURBS to NURPS geometries

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Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems

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Quasi-interpolation in isogeometric analysis based on generalized B-splines

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Generalized B-splines as a tool in isogeometric analysis

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Local Hierarchical h-Refinements in IgA Based on Generalized B-Splines

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Trigonometric generalized T-splines

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Isogeometric analysis in advection-diffusion problems: Tension splines approximation

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On a class of weak Tchebycheff systems

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\(GB\)-splines of arbitrary order

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Unified and extended form of three types of splines

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A practical guide to splines.

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On the existence of interpolating projections onto spline spaces

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Q5437241

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Isogeometric analysis of structural vibrations

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Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems

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Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS

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published in

Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

1443.65107

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2015.03.027

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Sitelinks

Mathematics(1 entry)

mardi Publication:2006461