On the Regularization and Discretization of Nonlinear Ill-Posed Problems with Monotone Operators

DOI10.1080/01630569908816907zbMath0932.65064OpenAlexW2025160019MaRDI QIDQ4265778

Mikhail Yu. Kokurin

Publication date: 15 March 2000

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816907

zbMATH Keywords

convergenceDirichlet problemmonotone operatornonlinear ill-posed problemTikhonov regularizationGalerkin approximationerror estimator

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• On the asymptotic behavior of nonlinear semigroups and the range of accretive operators. II
• Geometry of Banach spaces. Selected topics
• Regularity problem for quasilinear elliptic and parabolic systems
• Asymptotic behavior of periodic solutions of parabolic equations with weakly nonlinear perturbation
• Linear and quasilinear elliptic equations
• On the discretization and regularization of ill-posed problems with noncompact operators
• EXISTENCE AND APPROXIMATION OF SOLUTIONS OF NONLINEAR VARIATIONAL INEQUALITIES
• Convexity properties of nonlinear maximal monotone operators
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