Handling Ambiguous Inverse Problems by the Adaptive Genetic Strategy hp---HGS

Authors:
Barbara Barabasz;Robert Schaefer;Maciej Paszyński
Affiliations:
Department of Modeling and Information Technology, AGH University of Science and Technology, Cracow, Poland 30-059;Department of Computer Science,;Department of Computer Science,
Venue:
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
Year:
2009

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Abstract

We propose the new multi-deme, adaptive genetic strategy hp ---HGS that allow solving ill posed parametric inverse problems that may posses multiple solutions. The strategy was obtained by combining hp -adaptive Finite Element Method with the Hierarchic Genetic Strategy. Its efficiency results from the coupled adaptation of the accuracy of solving optimization problem and the accuracy of hp ---FEM direct problem solver. We present the simple L-shape domain benchmark that posses exactly two solutions. Test results show how the tunning of hp ---HGS may affect on the number of solutions to be found. Moreover we discuss the artifacts that may appear by the particular setting of genetic operations.