Autor:	Schryer, N. L.
Zdroj:	Numerische Mathematik; August 1971, Vol. 18 Issue: 4 p336-344, 9p
Abstrakt:	LetL be a linear uniformly elliptic second order operator. The boundary value problem is solved for the nonlinear elliptic equationLu=f(x, u) wheref(x, u) is a monotone increasing function ofu for each pointx in the domain. A descent technique based on Newton's method is shown to yield a sequence of iterates which converges uniformly and quadratically to the solution. The convergence is independent of the choice for the initial iterate. Numerical results in two dimensions are presented.
Databáze:	Supplemental Index
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