A fast multiscale Galerkin method for the first kind ill‐posed integral equations via Tikhonov regularization

DOI10.1080/00207160802155302zbMath1219.65160OpenAlexW2157053923MaRDI QIDQ5852160

Zhongying Chen, Gnaneshwar Nelakanti, Sirui Cheng, Hong-qi Yang

Publication date: 26 January 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802155302

zbMATH Keywords

convergencenumerical experimentsTikhonov regularizationdiscrepancy principleFredholm integral equations of the first kindmultiscale Galerkin methodsa priori parameter choiceill-posed integral equationsdiscrete regularization methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Linear integral equations (45A05)

Related Items (14)

A Discretizing Levenberg-Marquardt Scheme for Solving Nonlinear Ill-Posed Integral Equations ⋮ A fast multilevel iteration method for solving linear ill-posed integral equations ⋮ Legendre spectral multi-projection methods for Fredholm integral equations of the first kind ⋮ Multi-projection methods for Fredholm integral equations of the first kind ⋮ A COLLOCATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND VIA ITERATIVE REGULARIZATION SCHEME ⋮ A posteriori parameter choice strategy for fast multiscale methods solving ill-posed integral equations ⋮ On the parameter choice in the multilevel augmentation method ⋮ Heuristic parameter choice rule for solving linear ill-posed integral equations in finite dimensional space ⋮ A fast multiscale Galerkin method for solving a boundary integral equation in a domain with corners ⋮ Multiscale Galerkin methods for the nonstationary iterated Tikhonov method with a modified posteriori parameter selection ⋮ Fast multiscale Galerkin methods for solving ill-posed integral equations via a coupled system under general source conditions ⋮ Fast multilevel augmentation methods with compression technique for solving ill-posed integral equations ⋮ Legendre spectral projection methods for Fredholm integral equations of first kind ⋮ A compression technique for the boundary integral equation reduced from Helmholtz equation

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