On the characterization of self-regularization properties of a fully discrete projection method for Symm's integral equation

DOI10.1216/jiea/1020282166zbMath0982.65141OpenAlexW1992575806MaRDI QIDQ5939757

Siegfried Prössdorf, Sergei V. Pereverzyev

Publication date: 30 July 2001

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL12-2/CONT12-2/CONT12-2.html

zbMATH Keywords

complexityboundary integral equationill-posed problemsfully discrete projection methodsmall perturbationsSymm's integral equation

Mathematics Subject Classification ID

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

Related Items (12)

Projected Tikhonov regularization method for Fredholm integral equations of the first kind ⋮ Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method ⋮ Regularization by truncated Cholesky factorization: a comparison of four different approaches ⋮ Approximate and information aspects of the numerical solution of unstable integral and pseudodifferential equations ⋮ Expanding the applicability of a two step Newton-type projection method for ill-posed problems ⋮ Convergence rates of a multilevel method for the regularization of nonlinear ill-posed problems ⋮ Regularized collocation method for Fredholm integral equations of the first kind ⋮ V-cycle convergence of some multigrid methods for ill-posed problems ⋮ A class of periodic integral equations with numerical solution by the fully discrete projection method ⋮ DETERMINATION OF PARAMETERS IN NONLINEAR HYPERBOLIC PDES VIA A MULTIHARMONIC FORMULATION, USED IN PIEZOELECTRIC MATERIAL CHARACTERIZATION ⋮ Toward Global Convergence for Strongly Nonlinear Ill-Posed Problems via a Regularizing Multilevel Approach ⋮ A convergence analysis of regularization by discretization in preimage space

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• A Spectral Galerkin Method for a Boundary Integral Equation
• Error bounds of discretization methods for boundary integral equations with noisy data

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