On the numerical solution of some semilinear elliptic problems

zbMath1065.65133MaRDI QIDQ1772044

Weimin Han, Kendall E. Atkinson

Publication date: 15 April 2005

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/124814

zbMATH Keywords

convergenceGalerkin methodboundary element methodintegral equation methodeigenfunction expansionsemilinear elliptic problemserror anslysis

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 (5)

Multidomain spectral method for the Gauss hypergeometric function ⋮ Solving the nonlinear Poisson equation on the unit disk ⋮ Orthogonal polynomials for the solution of semi linear two-point boundary value problems ⋮ On the numerical solution of some semilinear elliptic problems. II ⋮ Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions

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