Isoparametric singularity extraction technique for 3D potential problems in BEM (Q2160461)

scientific article; zbMATH DE number 7567004

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English	Isoparametric singularity extraction technique for 3D potential problems in BEM	scientific article; zbMATH DE number 7567004

Statements

instance of

scholarly article

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title

Isoparametric singularity extraction technique for 3D potential problems in BEM (English)

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published in

Computer Methods in Applied Mechanics and Engineering

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publication date

3 August 2022

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full work available at URL

https://arxiv.org/abs/2203.11538

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zbMATH Keywords

analytical integration

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singular integral

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singularity extraction

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boundary element method

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isogeometric analysis

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

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Isogeometric Analysis

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Isogeometric boundary-element analysis for the wave-resistance problem using T-splines

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Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations

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A simple approach to the numerical simulation with trimmed CAD surfaces

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A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems

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A natural framework for isogeometric fluid-structure interaction based on BEM-shell coupling

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Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth

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Shape optimization of conductive-media interfaces using an IGA-BEM solver

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Acoustic isogeometric boundary element analysis

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Isogeometric boundary element method for acoustic scattering by a submarine

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Isogeometric boundary element methods and patch tests for linear elastic problems: formulation, numerical integration, and applications

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Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM

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Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM

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Nonsingular isogeometric boundary element method for Stokes flows in 3D

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Isogeometric analysis of boundary integral equations: High-order collocation methods for the singular and hyper-singular equations

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Quadrature rules in the isogeometric Galerkin method: state of the art and an introduction to weighted quadrature

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Explicit expressions for 3D boundary integrals in potential theory

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Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra

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The radial integration method for evaluation of domain integrals with boundary-only discretization.

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An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals

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A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method

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Numerical Solution of the Generalized Airfoil Equation for an Airfoil with a Flap

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A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM

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A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals

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A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM

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A note on true desingularisation of boundary integral methods for three-dimensional potential problems

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A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations

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Efficiency improvement of the polar coordinate transformation for evaluating BEM singular integrals on curved elements

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Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex

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A Family of Augmented Duffy Transformations for Near-Singularity Cancellation Quadrature

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Generalized Taylor–Duffy Method for Efficient Evaluation of Galerkin Integrals in Boundary-Element Method Computations

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Numerical integration in 3D Galerkin BEM solution of HBIEs

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Efficient quadrature rules based on spline quasi-interpolation for application to IGA-BEMs

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A study on spline quasi-interpolation based quadrature rules for the isogeometric Galerkin BEM

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Cubature rules based on bivariate spline quasi-interpolation for weakly singular integrals

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A collocation IGA-BEM for 3D potential problems on unbounded domains

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The Numerical Solution of Integral Equations of the Second Kind

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Boundary Element Methods

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A practical guide to splines.

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Q3592409

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Some identities for product and degree raising of splines

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The BS class of Hermite spline quasi-interpolants on nonuniform knot distributions

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Quadrature formulas descending from BS Hermite spline quasi-interpolation

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Neumann exterior wave propagation problems: computational aspects of 3D energetic Galerkin BEM

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Q3084090

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CMA.2022.115271

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Sitelinks

Mathematics(1 entry)

mardi Publication:2160461