A mixed formulation of B-spline and a new class of spherical Hankel shape functions for modeling elastostatic problems (Q1988686)

scientific article; zbMATH DE number 7192986

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English	A mixed formulation of B-spline and a new class of spherical Hankel shape functions for modeling elastostatic problems	scientific article; zbMATH DE number 7192986

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instance of

scholarly article

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title

A mixed formulation of B-spline and a new class of spherical Hankel shape functions for modeling elastostatic problems (English)

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author

Yanyan Li

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published in

Applied Mathematical Modelling

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publication date

24 April 2020

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zbMATH Keywords

isogeometric analysis

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finite element method

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NURBS

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beam

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plate

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.apm.2019.07.057

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cites work

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The scaled boundary finite-element method - alias consistent infinitesimal finite-element cell method - for elastodynamics

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Weak imposition of Dirichlet boundary conditions in fluid mechanics

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Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling

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Isogeometric analysis of structural vibrations

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Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method

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The role of continuity in residual-based variational multiscale modeling of turbulence

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Isogeometric fluid-structure interaction analysis with applications to arterial blood flow

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Isogeometric fluid-structure interaction: Theory, algorithms, and computations

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Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow

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Isogeometric analysis of the Cahn-Hilliard phase-field model

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A phase-field description of dynamic brittle fracture

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Full analytical sensitivities in NURBS based isogeometric shape optimization

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Isogeometric sizing and shape optimisation of beam structures

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Shape optimization of structures with cutouts by an efficient approach based on XIGA and chaotic particle swarm optimization

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Adaptive multi-patch isogeometric analysis based on locally refined B-splines

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An advanced meshless LBIE/RBF method for solving two-dimensional incompressible fluid flows

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Complex Fourier element shape functions for analysis of 2D static and transient dynamic problems using dual reciprocity boundary element method

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A time-dependent discontinuous Galerkin finite element approach in two-dimensional elastodynamic problems based on spherical Hankel element framework

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A dual reciprocity BEM approach using new Fourier radial basis functions applied to 2D elastodynamic transient analysis

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First kind Bessel function (J-Bessel) as radial basis function for plane dynamic analysis using dual reciprocity boundary element method

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New complex Fourier shape functions for the analysis of two-dimensional potential problems using boundary element method

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Radial basis function approximations: comparison and applications

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Application of radial basis functions to the problem of elasto-plastic torsion of prismatic bars

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Free vibration multiquadric boundary elements applied to plane elasticity

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Trigonometric variable shape parameter and exponent strategy for generalized multiquadric radial basis function approximation

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Exact integration in the boundary element method for two-dimensional elastostatic problems

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Identifiers

zbMATH Open document ID

1448.74104

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Mathematics Subject Classification ID

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10.1016/J.APM.2019.07.057

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Sitelinks

Mathematics(1 entry)

mardi Publication:1988686