Journal of Inverse and Ill-Posed Problems · 2008 · 46 citations · 1 references
ComputingMathematicsAlgorithmsComputational MechanicsDifferential EquationsConvergence AnalysisInverse ProblemsInverse Problems In MechanicsIterative SolversNumerical AlgorithmsNumerical Methods For Differential EquationsComputational Inverse ProblemsConvergence Rate AnalysisIll-posed Inverse ProblemsIll-posed Problem RegularizationInverse Problem TheoryInverse Problems In Partial Differential EquationsRegularizationRegularization Techniques
In this paper we apply the notion of quasi-solution to nonlinear inverse coefficient problems. Instead of a compact set M we use the ball B(0, r) in which the radius r occurred to be sometimes a regularization parameter. Moreover this constant allows one to estimate the convergence rate for many well-known algorithms for solving inverse coefficient problems and to decrease crucially the number of iterations.
1