An application of the Kantorovich theorem to nonlinear finite element analysis

DOI10.1007/s002110050466zbMath0942.65056OpenAlexW1990201180MaRDI QIDQ1964044

Takuya Tsuchiya

Publication date: 10 April 2000

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050466

zbMATH Keywords

error estimatesfinite elementelliptic boundary value problemsstrong nonlinearityKantorovich theorem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (5)

Yamamoto's principle and its applications to precise finite element error analysis. ⋮ The Kantorovich theorem and interior point methods ⋮ Finite element analysis for parametrized nonlinear equations around turning points ⋮ A posteriori error estimates and domain decomposition with nonmatching grids ⋮ Finite element approximations of parametrized strongly nonlinear boundary value problems.

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