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

• Autores: Ioannis K. Argyros
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 8, Nº. 16, 1990, págs. 48-63
• Idioma: inglés
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• Resumen

  • 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.