Fast Fourier-Galerkin methods for nonlinear boundary integral equations
DOI10.1007/s10915-013-9687-yzbMath1278.65187OpenAlexW2000253361MaRDI QIDQ368094
Yuesheng Xu, Xiangling Chen, Rui Wang
Publication date: 18 September 2013
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-013-9687-y
numerical experimentsquadrature formulaexponential convergencenonlinear boundary integral equationsoscillatory integralsFourier-Galerkin methodsmultilevel augmentation methods
Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions
- Extrapolation algorithms for solving nonlinear boundary integral equations by mechanical quadrature methods
- Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition
- On the boundary element method for some nonlinear boundary value problems
- Numerical solutions for weakly singular Hammerstein equations and their superconvergence
- On integral equations of the first kind with logarithmic kernels
- Wavelet applications to the Petrov--Galerkin method for Hammerstein equations
- Extrapolation of a discrete collocation-type method of Hammerstein equations
- Multilevel augmentation methods for nonlinear boundary integral equations II: Accelerated quadratures and Newton iterations
- Extrapolation of Nyström solution for two-dimensional nonlinear Fredholm integral equations
- Fast discrete algorithms for sparse Fourier expansions of high dimensional functions
- Fast Multilevel Augmentation Methods for Nonlinear Boundary Integral Equations
- A Fast Fourier–Galerkin Method for Solving Singular Boundary Integral Equations
- Boundary Integral Equation Methods for Solving Laplace's Equation with Nonlinear Boundary Conditions: The Smooth Boundary Case
- Degenerate Kernel Method for Hammerstein Equations
- Fast Multilevel Augmentation Methods for Solving Hammerstein Equations
- A Discrete Collocation-Type Method for Hammerstein Equations
- Projection and Iterated Projection Methods for Nonlinear Integral equations
- A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel
- A construction of interpolating wavelets on invariant sets
- The Numerical Solution of Integral Equations of the Second Kind
- Approximate Solutions of Operator Equations
- A New Collocation-Type Method for Hammerstein Integral Equations
- Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
- Projection Methods for a Class of Hammerstein Equations
- Linear integral equations
This page was built for publication: Fast Fourier-Galerkin methods for nonlinear boundary integral equations