Isoparametric singularity extraction technique for 3D potential problems in BEM

DOI10.1016/j.cma.2022.115271OpenAlexW4284976315MaRDI QIDQ2160461

Tadej Kanduc

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

zbMATH Keywords

singular integralboundary element methodanalytical integrationisogeometric analysissingularity extraction

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

IgA-BEM for 3D Helmholtz problems using conforming and non-conforming multi-patch discretizations and B-spline tailored numerical integration

Cites Work

• Unnamed Item
• Unnamed Item
• 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.

This page was built for publication: Isoparametric singularity extraction technique for 3D potential problems in BEM