Isoparametric singularity extraction technique for 3D potential problems in BEM
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Publication:2160461
DOI10.1016/j.cma.2022.115271OpenAlexW4284976315MaRDI QIDQ2160461
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://arxiv.org/abs/2203.11538
singular integralboundary element methodanalytical integrationisogeometric analysissingularity extraction
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Cites Work
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- Neumann exterior wave propagation problems: computational aspects of 3D energetic Galerkin BEM
- Quadrature formulas descending from BS Hermite spline quasi-interpolation
- A note on true desingularisation of boundary integral methods for three-dimensional potential problems
- Acoustic isogeometric boundary element analysis
- A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM
- Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations
- An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals
- Numerical integration in 3D Galerkin BEM solution of HBIEs
- Nonsingular isogeometric boundary element method for Stokes flows in 3D
- Some identities for product and degree raising of splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM
- The BS class of Hermite spline quasi-interpolants on nonuniform knot distributions
- The radial integration method for evaluation of domain integrals with boundary-only discretization.
- Isogeometric boundary-element analysis for the wave-resistance problem using T-splines
- Efficient quadrature rules based on spline quasi-interpolation for application to IGA-BEMs
- A simple approach to the numerical simulation with trimmed CAD surfaces
- A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
- Shape optimization of conductive-media interfaces using an IGA-BEM solver
- Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM
- Cubature rules based on bivariate spline quasi-interpolation for weakly singular integrals
- A collocation IGA-BEM for 3D potential problems on unbounded domains
- Isogeometric boundary element method for acoustic scattering by a submarine
- Isogeometric boundary element methods and patch tests for linear elastic problems: formulation, numerical integration, and applications
- Quadrature rules in the isogeometric Galerkin method: state of the art and an introduction to weighted quadrature
- A study on spline quasi-interpolation based quadrature rules for the isogeometric Galerkin BEM
- Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth
- A natural framework for isogeometric fluid-structure interaction based on BEM-shell coupling
- A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems
- Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM
- Efficiency improvement of the polar coordinate transformation for evaluating BEM singular integrals on curved elements
- Isogeometric analysis of boundary integral equations: High-order collocation methods for the singular and hyper-singular equations
- Explicit expressions for 3D boundary integrals in potential theory
- The Numerical Solution of Integral Equations of the Second Kind
- A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
- Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
- A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
- Numerical Solution of the Generalized Airfoil Equation for an Airfoil with a Flap
- Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra
- Isogeometric Analysis
- A Family of Augmented Duffy Transformations for Near-Singularity Cancellation Quadrature
- Generalized Taylor–Duffy Method for Efficient Evaluation of Galerkin Integrals in Boundary-Element Method Computations
- Boundary Element Methods
- A practical guide to splines.
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