Numerical algorithm with high accuracy for the modified Helmholtz equation with Robin boundary value problem

DOI10.1016/j.apnum.2023.02.007OpenAlexW4319868634MaRDI QIDQ6106929

Hu Li, Chong Chen, Jin Huang

Publication date: 3 July 2023

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2023.02.007

zbMATH Keywords

quadrature methodextrapolation algorithmmodified Helmholtz equationRobin boundary value problem

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx) Numerical methods for integral equations, integral transforms (65Rxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A collocation mesh-free method based on multiple basis functions
• Singular boundary method for modified Helmholtz equations
• 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
• The modified quadrature method for logarithmic-kernel integral equations on closed curves
• A novel numerical method of two-dimensional Fredholm integral equations of the second kind
• Boundary knot method for heat conduction in nonlinear functionally graded material
• A fourth-order kernel-free boundary integral method for the modified Helmholtz equation
• Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation
• Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations
• Sinc-Nyström methods for Fredholm integral equations of the second kind over infinite intervals
• A fourth-order optimal finite difference scheme for the Helmholtz equation with PML
• Heritage and early history of the boundary element method
• Convergence analysis of a high-order Nyström integral-equation method for surface scattering problems
• A wavelet collocation method for boundary integral equations of the modified Helmholtz equation
• A new Nyström-type method for Fredholm integral equations of the second kind
• Adaptive dual boundary element method for solving oblique incident wave passing a submerged breakwater
• A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon
• Boundary Integral Equation Methods for Solving Laplace's Equation with Nonlinear Boundary Conditions: The Smooth Boundary Case
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
• Singularity subtraction in the numerical solution of integral equations
• The Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions
• The method of fundamental solutions and quasi-Monte-Carlo method for diffusion equations
• The Numerical Solution of Integral Equations of the Second Kind
• A weak Galerkin mixed finite element method for the Helmholtz equation with large wave numbers
• The Splitting Extrapolation Method
• Mechanical quadrature method and splitting extrapolation algorithm for the boundary integral equation of the axisymmetric anisotropic Darcy's equation
• Linear integral equations
• A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications