A convergence theorem for a class of Nyström methods for weakly singular integral equations on surfaces in $\mathbb {R}^3$
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Publication:5496211
DOI10.1090/S0025-5718-2014-02869-XzbMath1307.65181arXiv1205.5064MaRDI QIDQ5496211
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Publication date: 30 January 2015
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.5064
convergenceNyström methodFredholm equationlinear elliptic boundary value problemsweakly singular integral equation
Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items
Convergence and conditioning of a Nyström method for Stokes flow in exterior three-dimensional domains, Boundary-value problems for weakly singular integral equations, Linear boundary-value problems for weakly singular integral equations, The isogeometric Nyström method
Cites Work
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- A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
- Boundary integral equations
- Numerical solution of the Helmholtz equation in 2D and 3D using a high-order Nyström discretization
- Linear integral equations.
- Inverse acoustic and electromagnetic scattering theory.
- Quadrature methods for 2D and 3D problems
- Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\)
- Boundary integral equations in elasticity theory
- A high-order algorithm for obstacle scattering in three dimensions
- Integral equations. Theory and numerical treatment
- The fast solution of boundary integral equations.
- Convergence analysis of a high-order Nyström integral-equation method for surface scattering problems
- Convergence and conditioning of a Nyström method for Stokes flow in exterior three-dimensional domains
- On Stable, Complete, and Singularity-Free Boundary Integral Formulations of Exterior Stokes Flow
- The Order of Accuracy of Quadrature Formulae for Periodic Functions
- Second Kind Integral Equation Formulation of Stokes’ Flows Past a Particle of Arbitrary Shape
- The Numerical Solution of Laplace’s Equation in Three Dimensions
- Singularity subtraction in the numerical solution of integral equations
- Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
- Boundary Integral and Singularity Methods for Linearized Viscous Flow
- The Numerical Solution of Integral Equations of the Second Kind
- A New Spectral Boundary Integral Collocation Method for Three-Dimensional Potential Problems
- Wavelet Galerkin Algorithms for Boundary Integral Equations
- Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
- A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications