Convergence of the high-accuracy algorithm for solving the Dirichlet problem of the modified Helmholtz equation
DOI10.1155/2020/6484890zbMath1440.65261OpenAlexW3002534303WikidataQ126328951 ScholiaQ126328951MaRDI QIDQ2296160
Publication date: 17 February 2020
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/6484890
Numerical methods for integral equations (65R20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical integration (65D30) Boundary element methods for boundary value problems involving PDEs (65N38)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fast integral equation methods for the modified Helmholtz equation
- A fast solver for boundary integral equations of the modified Helmholtz equation
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations
- A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction
- Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems
- On integral equations of the first kind with logarithmic kernels
- Splitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy's equation on polygons by mechanical quadrature methods
- Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime
- Localized boundary knot method and its application to large-scale acoustic problems
- A high accuracy method for long-time evolution of acoustic wave equation
- Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations
- Fast Fourier transform for efficient evaluation of Newton potential in BEM
- An adaptive fast solver for the modified Helmholtz equation in two dimensions
- The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
- The Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions
- An Integral Equation Approach to the Incompressible Navier--Stokes Equations in Two Dimensions
- A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics
This page was built for publication: Convergence of the high-accuracy algorithm for solving the Dirichlet problem of the modified Helmholtz equation
