An interpolation-based fast multipole method for higher-order boundary elements on parametric surfaces
type: Item
instance of: scholarly article
title: An interpolation-based fast multipole method for higher-order boundary elements on parametric surfaces
zbMATH Open document ID: 1548.6536
author: Jürgen Dölz
author: H. Harbrecht
author: Michael Peters
published in: International Journal for Numerical Methods in Engineering
publication date: 2024-06-23T00:00:00Z
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 7870060
zbMATH Keywords: non-local operators
zbMATH Keywords: parametric surfaces
zbMATH Keywords: higher-order ansatz functions
zbMATH Keywords: \(\mathcal{H}^2\)-matrices
zbMATH Keywords: fast multipole method
zbMATH Keywords: isogeometric analysis
MaRDI profile type: Publication
cites work: Integral equations. Theory and numerical treatment
cites work: Boundary Element Methods
cites work: Numerical Approximation Methods for Elliptic Boundary Value Problems
cites work: A fast algorithm for particle simulations
cites work: On the fast matrix multiplication in the boundary element method by panel clustering
cites work: Fast wavelet transforms and numerical algorithms I
cites work: Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates
cites work: Approximation of boundary element matrices
cites work: Efficient numerical methods for non-local operators. \(\mathcal H^2\)-matrix compression, algorithms and analysis.
cites work: Q3993269
cites work: Isogeometric Analysis
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Fast isogeometric boundary element method based on independent field approximation
cites work: Multilevel approximation of boundary integral operators
cites work: \(\mathcal H^2\)-matrix approximation of integral operators by interpolation
cites work: Efficient approximation of random fields for numerical applications
cites work: From computer aided design to wavelet BEM
cites work: Wavelet BEM on molecular surfaces: parametrization and implementation
cites work: Wavelet BEM on molecular surfaces: solvent excluded surfaces
cites work: Studies of refinement and continuity in isogeometric structural analysis
cites work: Comparison of fast boundary element methods on parametric surfaces
cites work: A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
cites work: Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
cites work: Quadrature for \(hp\)-Galerkin BEM in \(\mathbb{R}^3\)
cites work: A practical guide to splines
cites work: Q4414854
cites work: Integral equations with non integrable kernels
cites work: Integral Equation Methods in Scattering Theory
DOI: 10.1002/NME.5274
description: scientific article; zbMATH DE number 7870060