Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM
From MaRDI portal
Publication:2021068
DOI10.1016/j.cma.2020.113441zbMath1506.74465OpenAlexW3090491021WikidataQ114196910 ScholiaQ114196910MaRDI QIDQ2021068
Alessandra Sestini, Antonella Falini, Maria Lucia Sampoli, Alessandra Aimi, Francesco Calabrò
Publication date: 26 April 2021
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.2020.113441
boundary element methodquadrature formulasquasi-interpolationisogeometric analysishypersingular integrals
Boundary element methods applied to problems in solid mechanics (74S15) Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (6)
Isoparametric singularity extraction technique for 3D potential problems in BEM ⋮ Cubic spline quadrature rule to calculate supersingular integral on interval ⋮ An adaptive element subdivision method based on the affine transformations and partitioning techniques for evaluating the weakly singular integrals ⋮ Cubature rules based on bivariate spline quasi-interpolation for weakly singular integrals ⋮ Quasi-interpolation for analysis-suitable T-splines ⋮ On spline quasi-interpolation through dimensions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quadrature formulas descending from BS Hermite spline quasi-interpolation
- A two-dimensional isogeometric boundary element method for elastostatic analysis
- Acoustic isogeometric boundary element analysis
- Isogeometric boundary element analysis using unstructured T-splines
- Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations
- Quasi-interpolation in isogeometric analysis based on generalized B-splines
- Isogemetric analysis and symmetric Galerkin BEM: a 2D numerical study
- A note on spline approximation for Hadamard finite-part integrals
- Some identities for product and degree raising of splines
- On the h-, p- and h-p versions of the boundary element method. - Numerical results
- Definitions, properties and applications of finite-part integrals
- Studies of refinement and continuity in isogeometric structural analysis
- The BS class of Hermite spline quasi-interpolants on nonuniform knot distributions
- Integral equations with non integrable kernels
- Local spline approximation methods
- Numerical evaluation of hypersingular integrals
- Evaluation of nearly singular integrals in isogeometric boundary element method
- Collocation boundary element method for the pricing of geometric Asian options
- Efficient quadrature rules based on spline quasi-interpolation for application to IGA-BEMs
- Shape optimization of conductive-media interfaces using an IGA-BEM solver
- Isogeometric boundary element analysis of problems in potential flow
- Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods
- Isogeometric boundary element methods and patch tests for linear elastic problems: formulation, numerical integration, and applications
- Hybrid nearly singular integration for three-dimensional isogeometric boundary element analysis of coatings and other thin structures
- A hypersingular boundary integral method for two-dimensional screen and crack problems
- 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
- A natural framework for isogeometric fluid-structure interaction based on BEM-shell coupling
- Isogeometric symmetric Galerkin boundary element method for three-dimensional elasticity problems
- Evaluation of hypersingular and nearly singular integrals in the isogeometric boundary element method for acoustics
- 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
- The isogeometric boundary element method
- FEM solution of exterior elliptic problems with weakly enforced integral non reflecting boundary conditions
- Energetic BEM for the numerical analysis of 2D Dirichlet damped wave propagation exterior problems
- How to deal with hypersingular integrals in the symmetric BEM
- Isogeometric analysis of boundary integral equations: High-order collocation methods for the singular and hyper-singular equations
- The Numerical Solution of Integral Equations of the Second Kind
- An augmented galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems
- Kernel Properties and Representations of Boundary Integral Operators
- Isogeometric Analysis
- Mathematical analysis of variational isogeometric methods
- Numerical integration schemes for the BEM solution of hypersingular integral equations
- Isogeometric Boundary Elements in Electromagnetism: Rigorous Analysis, Fast Methods, and Examples
- Boundary Element Methods
This page was built for publication: Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM
