On the Newton-Kantorovich theorem and nonlinear finite element methods

• Autorzy: Ioannis K. Argyros
• Języki publikacji: EN

Abstrakty

EN

Using a weaker version of the Newton-Kantorovich theorem, we provide a discretization result to find finite element solutions of elliptic boundary value problems. Our hypotheses are weaker and under the same computational cost lead to finer estimates on the distances involved and a more precise information on the location of the solution than before.

Kategorie tematyczne

• 49M15: Newton-type methods
• 65N30: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
• 65L60: Finite elements, Rayleigh-Ritz, Galerkin and collocation methods
• 65N15: Error bounds
• 65N12: Stability and convergence of numerical methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2009
• Tom: 36
• Numer: 1
• Strony: 75-81

Daty

wydano

2009

Twórcy

autor

Ioannis K. Argyros

• Department of Mathematics Sciences, Cameron University, Lawton, OK 73505, U.S.A.

Identyfikatory

DOI

10.4064/am36-1-6