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On the efficient solution of nonlinear finite element equations. II
Authors:Hans Detlef Mittelmann
Institution:(1) Abteilung Mathematik, Universität Dortmund, Postf. 500500, D-4600 Dortmund 50, Germany (Fed. Rep.)
Abstract:Summary We consider nonlinear variational inequalities corresponding to a locally convex minimization problem with linear constraints of obstacle type. An efficient method for the solution of the discretized problem is obtained by combining a slightly modified projected SOR-Newton method with the projected version of thec g-accelerated relaxation method presented in a preceding paper. The first algorithm is used to approximately reach in relatively few steps the proper subspace of active constraints. In the second phase a Kuhn-Tucker point is found to prescribed accuracy. Global convergence is proved and some numerical results are presented.
Keywords:AMS(MOS): 65N30  65K10  49D20  CR: 5  17  5  15
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