Geodesic
Efficient inexact Newton-like methods with application to problems of the deformation theory of plasticity
Applications of Mathematics, Tome 38 (1993) no. 6, pp. 411-427

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MR Zbl
Newton-like methods are considered with inexact correction computed by some inner iterative method. Composite iterative methods of this type are applied to the solution of nonlinear systems arising from the solution of nonlinear elliptic boundary value problems. Two main quastions are studied in this paper: the convergence of the inexact Newton-like methods and the efficient control of accuracy in computation of the inexact correction. Numerical experiments show the efficiency of the suggested composite iterative techniques when problems of the deformation theory of plasticity are solved.
Newton-like methods are considered with inexact correction computed by some inner iterative method. Composite iterative methods of this type are applied to the solution of nonlinear systems arising from the solution of nonlinear elliptic boundary value problems. Two main quastions are studied in this paper: the convergence of the inexact Newton-like methods and the efficient control of accuracy in computation of the inexact correction. Numerical experiments show the efficiency of the suggested composite iterative techniques when problems of the deformation theory of plasticity are solved.
DOI : 10.21136/AM.1993.104564
Classification : 35J65, 65H10, 65N22, 73E99, 73V20, 74B99, 74C99, 74D99
Keywords: nonlinear systems; inexact Newton-like methods; composite iterations; deformation theory of plasticity; numerical experiments; nonlinear elliptic problems; generalized Picard method; secant modulus method; preconditioned conjugate gradients; convergence 
Blaheta, Radim; Kohut, Roman. Efficient inexact Newton-like methods with application to problems of the deformation theory of plasticity. Applications of Mathematics, Tome 38 (1993) no. 6, pp. 411-427. doi: 10.21136/AM.1993.104564
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