A fast algorithm with error bounds for quadrature by expansion
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Publication:2312108
DOI10.1016/j.jcp.2018.05.006zbMath1416.65072arXiv1801.04070OpenAlexW2783501287WikidataQ129477198 ScholiaQ129477198MaRDI QIDQ2312108
Publication date: 4 July 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.04070
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (13)
An integral equation method for the Cahn-Hilliard equation in the wetting problem ⋮ A robust solver for elliptic PDEs in 3D complex geometries ⋮ Conformal Mapping via a Density Correspondence for the Double-Layer Potential ⋮ Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping ⋮ Explicit error bound of the fast multipole method for scattering problems in 2-D ⋮ Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects ⋮ Integral equation methods for the Morse-ingard equations ⋮ A Fast Boundary Integral Method for High-Order Multiscale Mesh Generation ⋮ A fast algorithm for quadrature by expansion in three dimensions ⋮ Optimization of fast algorithms for global quadrature by expansion using target-specific expansions ⋮ High-order finite element-integral equation coupling on embedded meshes ⋮ Simulation of Multiscale Hydrophobic Lipid Dynamics via Efficient Integral Equation Methods ⋮ Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition
Cites Work
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- Quadrature by expansion: a new method for the evaluation of layer potentials
- High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane
- A kernel-independent adaptive fast multipole algorithm in two and three dimensions
- On the Nyström discretization of integral equations on planar curves with corners
- A hierarchical \({\mathcal O}(N)\) force calculation algorithm
- A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
- Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning
- Rapid solution of integral equations of classical potential theory
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- On numerical cubatures of singular surface integrals in boundary element methods
- On numerical cubatures of nearly singular surface integrals arising in BEM collocation
- A fast solver for the Stokes equations with distributed forces in complex geometries.
- Ubiquitous evaluation of layer potentials using quadrature by kernel-independent expansion
- A local target specific quadrature by expansion method for evaluation of layer potentials in 3D
- Fast algorithms for quadrature by expansion. I: Globally valid expansions
- Error estimation for quadrature by expansion in layer potential evaluation
- On the evaluation of layer potentials close to their sources
- Ein numerisches Verfahren zur Lösung des Neumannschen Außenraumproblems für die Helmholtzsche Schwingungsgleichung
- Über eine Methode zum räumlichen Neumannschen Problem mit einer Anwendung für torusartige Berandungen
- A Method for Computing Nearly Singular Integrals
- Evaluation of Single Layer Potentials over Curved Surfaces
- On the Convergence of Local Expansions of Layer Potentials
- Evaluation of Layer Potentials Close to the Boundary for Laplace and Helmholtz Problems on Analytic Planar Domains
- A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
- Convergence of the point vortex method for the 2-D euler equations
- An Analysis of Quadrature Errors in Second-Kind Boundary Integral Methods
- Numerical Quadratures for Singular and Hypersingular Integrals in Boundary Element Methods
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- A Fast Adaptive Multipole Algorithm for Particle Simulations
- An Improved Fast Multipole Algorithm for Potential Fields
- Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators
- High-Order and Efficient Methods for the Vorticity Formulation of the Euler Equations
- Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra
- On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack
- Adaptive Quadrature by Expansion for Layer Potential Evaluation in Two Dimensions
- Error estimates for the fast multipole method. I. The two-dimensional case
- Piecewise Polynomial Collocation for Boundary Integral Equations
- Locally Corrected Multidimensional Quadrature Rules for Singular Functions
- Optimizing the Adaptive Fast Multipole Method for Fractal Sets
- Machine Precision Evaluation of Singular and Nearly Singular Potential Integrals by Use of Gauss Quadrature Formulas for Rational Functions
- On Numerical Contour Integration Round a Closed Contour
- Linear integral equations
- A fast algorithm for particle simulations
- A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications
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