Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping
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Publication:2660597
DOI10.1007/s10543-020-00820-5zbMath1461.65026arXiv1910.09899OpenAlexW3039027975MaRDI QIDQ2660597
Ludvig af Klinteberg, Alex H. Barnett
Publication date: 31 March 2021
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.09899
Numerical methods for integral equations (65R20) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)
Related Items (6)
Quadrature error estimates for layer potentials evaluated near curved surfaces in three dimensions ⋮ A robust solver for elliptic PDEs in 3D complex geometries ⋮ Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions ⋮ Decomposition and conformal mapping techniques for the quadrature of nearly singular integrals ⋮ Rapid Evaluation of Newtonian Potentials on Planar Domains ⋮ linequad
Uses Software
Cites Work
- Quadrature by expansion: a new method for the evaluation of layer potentials
- An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces
- High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane
- Simulating the dynamics and interactions of flexible fibers in Stokes flows
- Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme
- Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning
- Integral equation methods for elliptic problems with boundary conditions of mixed type
- Lower bounds for the condition number of Vandermonde matrices
- A companion matrix analogue for orthogonal polynomials
- Ubiquitous evaluation of layer potentials using quadrature by kernel-independent expansion
- Asymptotic analysis for close evaluation of layer potentials
- A fast platform for simulating semi-flexible fiber suspensions applied to cell mechanics
- Regularized Stokeslet segments
- Theoretical justification and error analysis for slender body theory with free ends
- Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D
- A fast algorithm with error bounds for quadrature by expansion
- Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems
- Error estimation for quadrature by expansion in layer potential evaluation
- An accurate integral equation method for simulating multi-phase Stokes flow
- Fast computation of eigenvalues of companion, comrade, and related matrices
- On the evaluation of layer potentials close to their sources
- A numerical method for simulations of rigid fiber suspensions
- How Bad Are Vandermonde Matrices?
- Evaluation of Layer Potentials Close to the Boundary for Laplace and Helmholtz Problems on Analytic Planar Domains
- Regularity Theory and Superalgebraic Solvers for Wire Antenna Problems
- Singularities and the Rayleigh Hypothesis for Solutions to the Helmholtz Equation
- An improved slender-body theory for Stokes flow
- Slender-body theory for slow viscous flow
- The Numerical Solution of Integral Equations of the Second Kind
- On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains
- The boundary integral formulation of Stokes flows includes slender-body theory
- A three-dimensional model of flagellar swimming in a Brinkman fluid
- Adaptive Quadrature by Expansion for Layer Potential Evaluation in Two Dimensions
- Barycentric Lagrange Interpolation
- A Robust and Accurate Solver of Laplace's Equation with General Boundary Conditions on General Domains in the Plane
- Theoretical Justification and Error Analysis for Slender Body Theory
- Spectrally Accurate Quadratures for Evaluation of Layer Potentials Close to the Boundary for the 2D Stokes and Laplace Equations
- Solution of Vandermonde systems of equations
- A Unified Approach to Quadrature Rules with Asymptotic Estimates of Their Remainders
- Linear integral equations
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