A fast iterative method for solving regularized parameter identification problems in elliptic boundary value problems
The author considers the regularization method applied to the numerical identification of the diffusion coefficient a(x) within a linear two- point boundary value problem of 2nd order. For solving the corresponding regularized discrete nonlinear minimization problems the Gauss-Newton method is analyzed. The author describes an effective way for performing one iteration step which requires to solve only two tridiagonal systems of equations.
scientific article; zbMATH DE number 4123209
scientific article