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April 2006
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71 Reads
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40 Citations
ZAMM Journal of applied mathematics and mechanics: Zeitschrift für angewandte Mathematik und Mechanik
An alternating procedure for solving a Cauchy problem for the stationary Stokes system is presented. A convergence proof of this procedure and numerical results are included.
January 2001
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87 Reads
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33 Citations
Journal of Inverse and Ill-Posed Problems
We consider the problem of reconstruction of the temperature from measurements of the temperature and heat flux on a part of the boundary and present iterative methods for solving this problem. The characteristic feature of the methods is the fact that in each iteration step, well-posed problems for the same equation are solved. The regularizing character of the methods comes from suitable choice of boundary conditions. This fact allows one to use standard numerical packages. Some numerical experiments are given.
... There exist various methods for solving the problem (1.1). One way is to use iterative methods, which were proposed by Bastay, Kozlov and Turesson [1]. We remark that this iterative method is reduced to the Landweber iteration. ...
January 2001
Journal of Inverse and Ill-Posed Problems
... Other features of the investigation will distinguish between the cases when the over-and under-specified disjoint boundaries are open or closed curves/surfaces. The solution to the linear but ill-posed inverse Cauchy problem will be found by extending the alternating algorithm developed in conjunction with the boundary element method in [1], where the corresponding Cauchy problem for the Stokes flow was solved. The well-posedness of the mixed problems [12] that need to be solved at each iteration are established in suitable function spaces. ...
April 2006
ZAMM Journal of applied mathematics and mechanics: Zeitschrift für angewandte Mathematik und Mechanik
