A semi-analytical treatment for nearly singular integrals arising in the isogeometric boundary element method-based solutions of 3D potential problems
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Publication:2160394
DOI10.1016/j.cma.2022.115179OpenAlexW4283167260WikidataQ114196785 ScholiaQ114196785MaRDI QIDQ2160394
Changzheng Cheng, Zongjun Hu, Wei Pan, Zhongrong Niu, Zhilin Han
Publication date: 3 August 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2022.115179
nearly singular integralsisogeometric boundary element method3D potential problemsemi-analytical analysis\(\sinh\) transformation method
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Cites Work
- Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
- A two-dimensional isogeometric boundary element method for elastostatic analysis
- An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals
- Acoustic isogeometric boundary element analysis
- A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element
- Isogeometric analysis in electromagnetics: B-splines approximation
- Isogeometric analysis using T-splines
- Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
- An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals
- Rotation-free isogeometric thin shell analysis using PHT-splines
- Nonsingular BEM formulations for thin-walled structures and elastostatic crack problems
- Isogeometric fluid-structure interaction: Theory, algorithms, and computations
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric analysis of structural vibrations
- A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM
- Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
- Studies of refinement and continuity in isogeometric structural analysis
- Evaluation of nearly singular integrals in boundary element contour and node methods for three-dimensional linear elasticity
- A novel semi-analytical algorithm of nearly singular integrals on higher order elements in two dimensional BEM
- A new semi-analytic algorithm of nearly singular integrals on higher order element in 3D potential BEM
- Acceleration of isogeometric boundary element analysis through a black-box fast multipole method
- Evaluation of nearly singular integrals in isogeometric boundary element method
- An ACA accelerated isogeometric boundary element analysis of potential problems with non-uniform boundary conditions
- Fast isogeometric boundary element method based on independent field approximation
- Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems
- The semi-analytical evaluation for nearly singular integrals in isogeometric elasticity boundary element method
- Internal stress analysis for single and multilayered coating systems using the boundary element method
- Analytic formulations for calculating nearly singular integrals in two-dimensional BEM
- A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
- Semi-analytic treatment of nearly-singular Galerkin surface integrals
- A three-dimensional B-spline boundary element
- Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures
- Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods
- A fast multipole boundary element method based on higher order elements for analyzing 2-D elastostatic problems
- Hybrid nearly singular integration for three-dimensional isogeometric boundary element analysis of coatings and other thin structures
- Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth
- Stable isogeometric analysis of trimmed geometries
- Shape optimization directly from CAD: an isogeometric boundary element approach using T-splines
- Evaluation of hypersingular and nearly singular integrals in the isogeometric boundary element method for acoustics
- Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems
- New variable transformations for evaluating nearly singular integrals in 3D boundary element method
- A semi-analytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods
- A fast multipole boundary element method based on higher order elements for analyzing 2-D potential problems
- Self‐regular boundary integral equation formulations for Laplace's equation in 2‐D
- Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity
- The Sinh Transformation for Curved Elements Using theGeneral Distance Function
- A New Shooting Method for Solving Boundary Layer Equations in Fluid Mechanics
- A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
- A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
- Cubic spline boundary elements
- A bi‐cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary methods
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
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