论文信息 - Variable preconditioning for strongly nonlinear elliptic problems

Variable preconditioning for strongly nonlinear elliptic problems

Abstract Variable preconditioning has earlier been developed as a realization of quasi-Newton methods for elliptic problems with uniformly bounded nonlinearities. This paper presents a generalization of this approach to strongly nonlinear problems, first on an operator level, then for elliptic problems allowing power order growth of nonlinearities. Numerical tests reinforce the convergence results.

János Karátson | B. Borsos

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