The exact order of information-based complexity of weakly singular integral equations with periodic analytic coefficients

DOI10.1007/BF02361290zbMath0916.65110MaRDI QIDQ1277570

M. Azizov

Publication date: 1997

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

boundary element methodboundary integral equationHelmholtz equationlogarithmic singularitiesweakly singular integral equations\(\varepsilon\)-complexityexterior boundary value problemsexact order of information-based complexity

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Complexity and performance of numerical algorithms (65Y20) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

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• Hyperbolic cross and the complexity of the approximate solution of Fredholm integral equations of the second kind with differentiable kernels
• Information complexity of equations of the second kind with compact operators in Hilbert space
• Information complexity of multivariate Fredholm integral equations in Sobolev classes
• Simultaneous approximation of functions and their (?, ?)-derivatives by Fourier sums
• A Fast Numerical Solution for a Second Kind Boundary Integral Equation with a Logarithmic Kernel
• Some Discrete Methods for Boundary Integral Equations on Smooth Closed Curves

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