Simultaneous identification of independent parameters in elliptic equations — numerical studies
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T. Hein
Abstract
In a model situation the problem of parallel identification of two parameters in an elliptic equation was examined. Here, coefficients were considered which are piecewise constant. In a numerical study we deal with various questions. The main focal point is on additional ill-posedness phenomena and numerical effects which are caused by the simultaneous determination of more than one coefficients in differential equations. Different known approaches for solving the underlying problem are investigated with respect to their efficiency and reliability. Moreover, the effect of noise in the given data is analyzed as well as the influence of the specific choice of the boundary conditions on the unique solvability of the identification problem.
© de Gruyter 2008
Articles in the same Issue
- Simultaneous identification of independent parameters in elliptic equations — numerical studies
- Modulus of continuity of Nemytskii operators with application to the problem of option pricing
- Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
- Metric and Bregman projections onto affine subspaces and their computation via sequential subspace optimization methods
- Regularization of linear ill-posed problems with noisy right hand side and noisy operator
- Chemnitz Symposium on Inverse Problems Chemnitz, Germany, September 27–28, 2007
Articles in the same Issue
- Simultaneous identification of independent parameters in elliptic equations — numerical studies
- Modulus of continuity of Nemytskii operators with application to the problem of option pricing
- Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
- Metric and Bregman projections onto affine subspaces and their computation via sequential subspace optimization methods
- Regularization of linear ill-posed problems with noisy right hand side and noisy operator
- Chemnitz Symposium on Inverse Problems Chemnitz, Germany, September 27–28, 2007
