Mesh independence principle for nonlinear equations on hilbert spaces by preconditioning

DOI10.1080/00207169808804725zbMath0932.65063OpenAlexW1973761985MaRDI QIDQ4256131

Constantin Popa

Publication date: 15 March 2000

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

Full work available at URL: https://doi.org/10.1080/00207169808804725

zbMATH Keywords

Banach spacesnumerical examplesHilbert spacesNewton methodnonlinear operator equationmesh independence principle

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 solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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• Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems
• Lectures on optimization - theory and algorithms. Notes by M. K. V. Murthy
• Numerical methods of high-order accuracy for nonlinear boundary value problems. V: Monotone operator theory
• A Mesh-Independence Principle for Operator Equations and Their Discretizations
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Mesh independence of the condition number of discrete galerkin systems by preconditioning
• Preconditioning conjugate gradient method for nonsymmetric systems

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