A Reproducing Kernel Hilbert Discretization Method for Linear PDEs with Nonlinear Right-hand Side

DOI10.14510/LM-NS.V34I2.1306zbMath1330.65169OpenAlexW2253014104MaRDI QIDQ3455991

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Publication date: 11 December 2015

Published in: LIBERTAS MATHEMATICA (new series) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14510/lm-ns.v34i2.1306

zbMATH Keywords

reproducing kernel Hilbert spacesTikhonov regularizationlinear partial differential equationsnonlinear second-order elliptic equationAveiro discretization methoddiscretization solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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