The Distance-Sinh combined transformation for near-singularity cancelation based on the generalized Duffy normalization
DOI10.1016/j.enganabound.2019.08.001zbMath1464.74356OpenAlexW2972138960WikidataQ127300256 ScholiaQ127300256MaRDI QIDQ2334226
Publication date: 7 November 2019
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2019.08.001
boundary element methodnearly singular integralDuffy transformationdistance transformationSinh transformation
Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (2)
Cites Work
- Use of the sinh transformation for evaluating 2D nearly singular integrals in 3D BEM
- A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element
- A general algorithm for accurate computation of field variables and its derivatives near the boundary in BEM
- Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
- Computation of nearly singular integrals in 3D BEM
- Calculation of three-dimensional nearly singular boundary element integrals for steady-state heat conduction
- Calculation of 2D nearly singular integrals over high-order geometry elements using the sinh transformation
- Line integration method for treatment of domain integrals in 3D boundary element method for potential and elasticity problems
- Expanding element interpolation method for analysis of thin-walled structures
- Modeling of magneto-electro-elastic problems by a meshless local natural neighbor interpolation method
- A regularized approach evaluating the near-boundary and boundary solutions for three-dimensional Helmholtz equation with wideband wavenumbers
- Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems
- A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
- Analytical integral algorithm in the BEM for orthotropic potential problems of thin bodies
- Efficient integration of crack singularities in the extended finite element method: Duffy-distance transformation and conformal preconditioning strategy
- A novel multi-grid based reanalysis approach for efficient prediction of fatigue crack propagation
- Thermal stress singularity analysis for V-notches by natural boundary element method
- A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis
- A singular element based on dual interpolation BFM for V-shaped notches
- Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
- A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations
- A semi-analytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods
- A boundary face method for potential problems in three dimensions
- On the use of isoparametric finite elements in linear fracture mechanics
- A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics
- A sinh transformation for evaluating nearly singular boundary element integrals
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