Efficient evaluation of weakly singular integrals with Duffy-distance transformation in 3D BEM (Q2420291)

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English	Efficient evaluation of weakly singular integrals with Duffy-distance transformation in 3D BEM	scientific article

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instance of

scholarly article

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title

Efficient evaluation of weakly singular integrals with Duffy-distance transformation in 3D BEM (English)

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zbMATH Open document ID

1464.65247

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DOI

10.1016/j.enganabound.2019.03.024

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Engineering Analysis with Boundary Elements

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publication date

6 June 2019

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Mathematics Subject Classification ID

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weak singularity

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Duffy transformation

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distance transformation

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3D BEM

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.enganabound.2019.03.024

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OpenAlex ID

W2929723235

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cites work

NURBS-enhanced boundary element method based on independent geometry and field approximation for 2D potential problems

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The multi-domain hybrid boundary node method for 3D elasticity

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A meshless singular boundary method for three‐dimensional elasticity problems

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Distance transformation for the numerical evaluation of nearly singular integrals on triangular elements

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Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method

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Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics

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An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals

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An adaptive element subdivision method for evaluation of weakly singular integrals in 3D BEM

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A serendipity triangular patch for evaluating weakly singular boundary integrals

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A boundary face method for potential problems in three dimensions

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

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A mapping method for numerical evaluation of two-dimensional integrals with \(1/r\) singularity

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

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Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals

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Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals

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

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Improved implementation and robustness study of the X-FEM for stress analysis around cracks

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

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Projection plane method for evaluation of arbitrary high order singular boundary integrals

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

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Efficient evaluation of integrals with kernel \(1/r^\chi\) for quadrilateral elements with irregular shape

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Efficient integration of crack singularities in the extended finite element method: Duffy-distance transformation and conformal preconditioning strategy

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Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method

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Mathematics(1 entry)

mardi Publication:2420291