Mechanical quadrature methods and extrapolation for solving nonlinear boundary Helmholtz integral equations

DOI10.1007/s10483-011-1519-7zbMath1238.35016OpenAlexW2334151936MaRDI QIDQ764608

Pan Cheng, Jin Huang, Zhu Wang

Publication date: 13 March 2012

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-011-1519-7

zbMATH Keywords

integral equationsHelmholtz equationNewton methodRichardson extrapolationmechanical quadrature methodOstrowski fixed point theoremStepleman theorem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Application of thin plate splines for solving a class of boundary integral equations arisen from Laplace's equations with nonlinear boundary conditions ⋮ Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method ⋮ A fast solver for boundary integral equations of the modified Helmholtz equation ⋮ Sixth-order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition ⋮ High-accuracy quadrature methods for solving nonlinear boundary integral equations of axisymmetric Laplace's equation ⋮ A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions

Cites Work

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