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Mesh independent superlinear convergence of an inner–outer iterative method for semilinear elliptic interface problems

✍ Scribed by István Antal; János Karátson


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
474 KB
Volume
226
Category
Article
ISSN
0377-0427

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✦ Synopsis


experiments a b s t r a c t

We propose the damped inexact Newton method, coupled with preconditioned inner iterations, to solve the finite element discretization of a class of nonlinear elliptic interface problems. The linearized equations are solved by a preconditioned conjugate gradient method. Both the inner and outer iterations exhibit mesh independent superlinear convergence.