ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991):35J60, 35R05, 49L10, 65K10, 65H20
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. Singular embedding methods require appropriately adjusted parameters to guarantee the contraction of locally quadratically convergent iterative methods. Firstly some general rule for the parameter selection is proposed and its rate of convergence is analyzed. Secondly, some modifications in the case of polynomial error and contraction bounds are studied. Finally, these results are applied to the embedding of an elliptic boundary value problem with discontinuous nonlinearities into a family of smooth problems. Here the regularization is done in such a way that the solutions of the resulting auxiliary problems require only one step of Newton's method.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050435
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