2011-08-11Buch DOI: 10.18452/2780
Modified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method
Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
In this article a new approach is proposed for constructing a domain decomposition method based on the iterative operator-splitting method for nonlinear differential equations. The convergence properties of such a method are studied. The main feature of the proposed idea are the linearization of the nonlinear equations and the application of iterative splitting methods. We present iterative operator-splitting method with embedded Newton methods to solve the nonlinearity. We confirm with numerical applications the effectiveness of the proposed iterative operator-splitting method in comparison with the classical Newton methods. We provide improved results and convergence rates.
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