Error bounds of discretization methods for boundary integral equations with noisy data

DOI10.1080/00036819608840494zbMath0865.65100OpenAlexW2028810944MaRDI QIDQ5691461

Siegfried Prössdorf, Gottfried Bruckner, Gennadi Vainikko

Publication date: 5 February 1997

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819608840494

zbMATH Keywords

collocation methodSobolev spaceserror analysisperturbationsquadrature formulaSymm's integral equationHölder-Zygmund spaceslogarithmic difference kernel

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30)

Related Items (9)

On Self-regularization of Ill-Posed Problems in Banach Spaces by Projection Methods ⋮ The Galerkin scheme for Lavrentiev's \(m\)-times iterated method to solve linear accretive Volterra integral equations of the first kind ⋮ Approximate and information aspects of the numerical solution of unstable integral and pseudodifferential equations ⋮ A multiscale RBF method for severely ill-posed problems on spheres ⋮ Convergence rates of a multilevel method for the regularization of nonlinear ill-posed problems ⋮ Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions ⋮ Regularized collocation method for Fredholm integral equations of the first kind ⋮ On the characterization of self-regularization properties of a fully discrete projection method for Symm's integral equation ⋮ Toward Global Convergence for Strongly Nonlinear Ill-Posed Problems via a Regularizing Multilevel Approach

Cites Work

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• A finite element method for some integral equations of the first kind
• Regularisierung schlecht gestellter Probleme durch Projektionsverfahren
• A modified discrete spectral collocation method for first kind integral equations with logarithmic kernel
• The modified quadrature method for classical pseudodifferential equations of negative order on smooth closed curves
• A fully-discrete trigonometric collocation method
• On the stability of the spline collocation method for a class of integral equations of the first kind
• Quadrature Methods for Strongly Elliptic Equations of Negative Order on Smooth Closed Curves

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