Geodesic
On the Newton–Kantorovich theorem and nonlinear finite element methods
Ioannis K. Argyros1
1 Department of Mathematics Sciences Cameron University Lawton, OK 73505, U.S.A.
Applicationes Mathematicae, Tome 36 (2009) no. 1, pp. 75-81.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am36-1-6
Keywords: using weaker version newton kantorovich theorem provide discretization result finite element solutions elliptic boundary value problems hypotheses weaker under computational cost lead finer estimates distances involved precise information location solution before

Ioannis K. Argyros 1

1 Department of Mathematics Sciences Cameron University Lawton, OK 73505, U.S.A. 
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Ioannis K. Argyros. On the Newton–Kantorovich theorem and
 nonlinear finite element methods. Applicationes Mathematicae, Tome 36 (2009) no. 1, pp. 75-81. doi : 10.4064/am36-1-6. http://geodesic.mathdoc.fr/articles/10.4064/am36-1-6/

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