The Simple Genetic Algorithm: Foundations and Theory
The Simple Genetic Algorithm: Foundations and Theory
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Parallel, fully automatic hp-adaptive 3D finite element package
Engineering with Computers
Efficient Adaptive Strategy for Solving Inverse Problems
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Foundations of Global Genetic Optimization
Foundations of Global Genetic Optimization
Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications
Handling Ambiguous Inverse Problems by the Adaptive Genetic Strategy hp---HGS
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
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The new hp---HGS multi-deme, genetic strategy for economic solving of the parametric inverse problems is introduced. The inverse problems under consideration are formulated as the global optimization ones, where the objective express the discrepancy between the computed and measured energy. The efficiency of the proposed strategy results from the coupled adaptation of the accuracy of solving optimization problem and the accuracy of hp---FEM direct problem solver. The asymptotic analysis allows to estimate the expected computational cost of hp---HGS and to show its advantage over the single population SGA algorithm as well as over the HGS strategy without the FEM error scaling.