Tikhonov Regularization by a Reproducing Kernel Hilbert Space for the Cauchy Problem for an Elliptic Equation

DOI10.1137/070684793zbMath1185.65173OpenAlexW2128343574MaRDI QIDQ5189665

Tomoya Takeuchi, Masahiro Yamamoto

Publication date: 10 March 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/61bb9d2f3a9e00aa965bea659cb40367f225b315

zbMATH Keywords

stabilityconvergencenumerical resultsCauchy problemTikhonov regularizationill-posed problemelliptic equationreproducing kernel Hilbert space

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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