2009 | OriginalPaper | Chapter
Handling Ambiguous Inverse Problems by the Adaptive Genetic Strategy hp–HGS
Authors : Barbara Barabasz, Robert Schaefer, Maciej Paszyński
Published in: Computational Science – ICCS 2009
Publisher: Springer Berlin Heidelberg
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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.