Boundary element monotone iteration scheme for semilinear elliptic partial differential equations

DOI10.1090/S0025-5718-96-00743-0zbMath0864.65071OpenAlexW2071345466MaRDI QIDQ4889915

Yuanhua Deng, Goong Chen, Wei-Ming Ni, Jian Xin Zhou

Publication date: 24 November 1996

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-96-00743-0

zbMATH Keywords

convergenceGalerkin methodnumerical examplesboundary element methoderror boundsmonotone iteration schemesemilinear elliptic boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) 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 (20)

Pseudospectral methods for computing the multiple solutions of the Lane-Emden equation ⋮ Analysis and computation for a class of semilinear elliptic boundary value problems ⋮ Dirichlet problems for linear and semilinear sub-Laplace equations on Carnot groups ⋮ Bifurcation method for solving multiple positive solutions to boundary value problem of \(p\)-Henon equation on the unit disk ⋮ Newton's method's basin of attraction for sign-changing solutions of concave and convex nonlinearities ⋮ Bifurcation method for computing the multiple positive solutions to \( p\)-Henon equation ⋮ A bifurcation method for solving multiple positive solutions to the boundary value problem of the Hénon equation on a unit disk ⋮ Bifurcation method for solving multiple positive solutions to Henon equation on the unit cube ⋮ Monotone iterative methods for the adaptive finite element solution of semiconductor equations ⋮ Numerical methods for systems of nonlinear parabolic equations with time delays ⋮ Search extension method for multiple solutions of a nonlinear problem ⋮ Pseudospectral Methods for Computing the Multiple Solutions of the Schrodinger Equation ⋮ A robust linearisation scheme for a nonlinear elliptic boundary value problem: Error estimates ⋮ A parallel monotone iterative method for the numerical solution of multi-dimensional semiconductor Poisson equation ⋮ Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay ⋮ ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS ⋮ Nonstationary monotone iterative methods for nonlinear partial differential equations ⋮ Bifurcation method for solving multiple positive solutions to Henon equation ⋮ Newton's method based on bifurcation for solving multiple solutions of nonlinear elliptic equations ⋮ MIXED FOURIER-LEGENDRE SPECTRAL METHODS FOR THE MULTIPLE SOLUTIONS OF THE SCHRODINGER EQUATION ON THE UNIT DISK

Cites Work

• On the convergence of the Galerkin method for nonsmooth solutions of integral equations
• Supersolutions, monotone iterations, and stability
• Dual variational methods in critical point theory and applications
• Topics in stability and bifurcation theory
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