A collocation IGA-BEM for 3D potential problems on unbounded domains
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Publication:2090170
DOI10.1007/978-3-030-92313-6_4zbMath1497.65247arXiv2204.02607OpenAlexW4290628363MaRDI QIDQ2090170
Alessandra Sestini, Maria Lucia Sampoli, Carlotta Giannelli, Antonella Falini, Tadej Kanduc
Publication date: 24 October 2022
Full work available at URL: https://arxiv.org/abs/2204.02607
Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Computer-aided design (modeling of curves and surfaces) (65D17) Boundary element methods for boundary value problems involving PDEs (65N38)
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Isoparametric singularity extraction technique for 3D potential problems in BEM, IgA-BEM for 3D Helmholtz problems using conforming and non-conforming multi-patch discretizations and B-spline tailored numerical integration
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Cites Work
- An isogeometric boundary element method for three dimensional potential problems
- Quadrature formulas descending from BS Hermite spline quasi-interpolation
- A two-dimensional isogeometric boundary element method for elastostatic analysis
- Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis
- Isogemetric analysis and symmetric Galerkin BEM: a 2D numerical study
- Bivariate hierarchical Hermite spline quasi-interpolation
- Some identities for product and degree raising of splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- The BS class of Hermite spline quasi-interpolants on nonuniform knot distributions
- 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
- Cubature rules based on bivariate spline quasi-interpolation for weakly singular integrals
- Volumetric spline parameterization for isogeometric analysis
- Isogeometric analysis-suitable trivariate NURBS models from standard B-Rep models
- Isogeometric boundary element analysis with elasto-plastic inclusions. II: 3-D problems
- An isogeometric indirect boundary element method for solving acoustic problems in open-boundary domains
- Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis
- An isogeometric symmetric Galerkin boundary element method for two-dimensional crack problems
- Isogeometric symmetric Galerkin boundary element method for three-dimensional elasticity problems
- 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
- Multi-patch nonsingular isogeometric boundary element analysis in 3D
- Isogeometric analysis of boundary integral equations: High-order collocation methods for the singular and hyper-singular equations
- Symmetric Galerkin Boundary Element Method
- The Numerical Solution of Integral Equations of the Second Kind
- Error Analysis of a Boundary Element Collocation Method for a Screen Problem in ℝ 3 .
- Isogeometric Analysis
- Boundary Element Methods
