The augmented lagrangian method for parameter estimation in elliptic systems
SIAM Journal on Control and Optimization
Genetic programming: on the programming of computers by means of natural selection
Genetic programming: on the programming of computers by means of natural selection
An Augmented Lagrangian Method for Identifying Discontinuous Parameters in Elliptic Systems
SIAM Journal on Control and Optimization
An Efficient Linear Solver for Nonlinear Parameter Identification Problems
SIAM Journal on Scientific Computing
Evolutionary Modeling of Systems of Ordinary Differential Equations with Genetic Programming
Genetic Programming and Evolvable Machines
Polar IFS+Parisian Genetic Programming=Efficient IFS Inverse Problem Solving
Genetic Programming and Evolvable Machines
Numerical Reconstruction of Heat Fluxes
SIAM Journal on Numerical Analysis
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In this paper, we make an investigation into the discontinuous parameter identification in the case of elliptic problem. The discontinuous parameter is identified by evolutionary algorithm for the first time. For this kind of problem, we present a two-level evolutionary algorithm. The first level is the evolution for discontinuous point and the second level is the evolution for parameter. The numerical experiments suggest that the algorithm carries such features as good stability and adaptability and is not very sensitive to the noise in observation data as well.