A mesh independence principle for nonlinear equations using newton's method ano nonlinear projections.


  • Ioannis K. Argyros New Mexico State University.




Espacios dimensionales, Ecuaciones no lineales


We consider the nonlinear operator equation in a Banach space. We make use of nonlinear projections on finite dimensional spaces to produce the finite dimensional discretization of the nonlinear equation. Using Newton's method we then prove the mesh-independence principle for this problem. Our results cover and extend previous results involving linear projections on finite dimensional spaces.

Author Biography

Ioannis K. Argyros, New Mexico State University.

Department of Mathematics.


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How to Cite

I. K. Argyros, “A mesh independence principle for nonlinear equations using newton’s method ano nonlinear projections.”, Proyecciones (Antofagasta, On line), vol. 8, no. 16, pp. 48-63, Apr. 2018.




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