A fast solver for boundary integral equations of the modified Helmholtz equation
From MaRDI portal
Publication:898495
DOI10.1007/s10915-014-9975-1zbMath1327.65188OpenAlexW2080413777MaRDI QIDQ898495
Publication date: 9 December 2015
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-014-9975-1
Theoretical approximation of solutions to integral equations (45L05) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)
Related Items (4)
A fast Fourier-Galerkin method solving a system of integral equations for the biharmonic equation ⋮ A wavelet collocation method for boundary integral equations of the modified Helmholtz equation ⋮ Numerical algorithm with high accuracy for the modified Helmholtz equation with Robin boundary value problem ⋮ Convergence of the high-accuracy algorithm for solving the Dirichlet problem of the modified Helmholtz equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Image approximations to electrostatic potentials in layered electrolytes/dielectrics and an ion-channel model
- Fast Fourier-Galerkin methods for nonlinear boundary integral equations
- Fast integral equation methods for the modified Helmholtz equation
- Fast integral equation methods for Rothe's method applied to the isotropic heat equation
- Planar curve interpolation by piecewise conics of arbitrary type
- Mechanical quadrature methods and extrapolation for solving nonlinear boundary Helmholtz integral equations
- Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition
- High accuracy geometric Hermite interpolation
- On the boundary element method for some nonlinear boundary value problems
- Choosing nodes in parametric curve interpolation
- Chebyshev approximation of plane curves by splines
- On integral equations of the first kind with logarithmic kernels
- A fast solver for the Hilbert-type singular integral equations based on the direct Fourier spectral method
- Fast Fourier transform for efficient evaluation of Newton potential in BEM
- An adaptive fast solver for the modified Helmholtz equation in two dimensions
- On geometric interpolation of parametric surfaces
- Fast discrete algorithms for sparse Fourier expansions of high dimensional functions
- Mellin Transform and Image Charge Method for Dielectric Sphere in an Electrolyte
- A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon
- Parameterization for Curve Interpolation
- Fast Multilevel Augmentation Methods for Nonlinear Boundary Integral Equations
- Chordal cubic spline interpolation is fourth-order accurate
- 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
- Fast Multilevel Augmentation Methods for Solving Hammerstein Equations
- On geometric interpolation by planar parametric polynomial curves
- Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
- The Numerical Solution of Integral Equations of the Second Kind
- On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators
- On the numerical quadrature of highly-oscillating integrals I: Fourier transforms
- Multiscale Methods for Fredholm Integral Equations
- Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
- A general framework for high-accuracy parametric interpolation
- Linear integral equations
This page was built for publication: A fast solver for boundary integral equations of the modified Helmholtz equation
